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- Question Number 1 Points: 5.00/5.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a negative correlation?
- A. The weight of a package and the cost to mail the package.
- B. The amount of gas in the tank of a car and the number of miles
- driven.
- C. The cost of a car and the number of tires it has.
- D. The cost a telephone call and the length of the call.
- Your Answer
- B. The amount of gas in the tank of a car and the number of miles
- driven.
- Question Number 2 Points: 5.00/5.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 12.8 grams of radioactive substance. 9 days later, there are 7.33 grams. After 14 days, there are 5.38 grams. After 30 days, there are 2.00 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days and use the equation to determine the amount of radioactive material remaining after 50 days.
- A. 0.56 g
- B. 0.58 g
- C. 3.27 g
- D. 3.33 g
- Your Answer
- B. 0.58 g
- Question Number 3 Points: 5.00/5.00
- Question Text
- Describe the following scatterplot.
- A. positive correlation
- B. negative correlation
- C. no correlation
- D. constant correlation
- Your Answer
- B. negative correlation
- Question Number 4 Points: 5.00/5.00
- Question Text
- What is the value of a in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- A. -4.26
- B. -3.7
- C. -2.4
- D. -0.96
- Your Answer
- C. -2.4
- Question Number 5 Points: 5.00/5.00
- Question Text
- Describe the following scatterplot.
- A. positive correlation
- B. negative correlation
- C. no correlation
- D. constant correlation
- Your Answer
- B. negative correlation
- Question Number 6 Points: 5.00/5.00
- Question Text
- Ft. Clyman General Hospital created a scatter plot to illustrate the number of babies that were born in the maternity ward over the past several years. The data for 1996 was missing. According to the scatter plot, approximately how many babies do you predict were born during 1996?
- A. 400
- B. 700
- C. 800
- D. 1,000
- Your Answer
- B. 700
- Question Number 7 Points: 5.00/5.00
- Question Text
- Find the equation of the line of best fit for the points (-3, -40), (1, 12), (5, 72), (7, 137).
- A. y = 3x + 17
- B. y = 17x + 3
- C. y = 17x − 3
- D. y = 3x + 0.98
- Your Answer
- B. y = 17x + 3
- Question Number 8 Points: 5.00/5.00
- Question Text
- Ft. Clyman General Hospital created a scatter plot to illustrate the number of babies that were born in the maternity ward over the past several years. The data for 1999 was missing. According to the scatter plot, approximately how many babies do you predict were born during 1999?
- A. 400
- B. 700
- C. 800
- D. 1,000
- Your Answer
- C. 800
- Question Number 9 Points: 5.00/5.00
- Question Text
- Find the correlation coefficient of the line of best fit for the points (-4, 10), (-1, 5), (2, -1), (3, -6) and (5, -7).
- A. -2
- B. -0.98
- C. 0.98
- D. 2
- Your Answer
- B. -0.98
- Question Number 10 Points: 5.00/5.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 6.2 grams of radioactive substance. 12 days later, there are 6.16 grams. After 19 days, there are 6.13 grams. After 46 days, there are 5.92 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days.
- A. y = 6(0.92)x
- B. y = 6.15(0.98)x
- C. y = 6.23(0.999)x
- D. y = 6(0.999)x
- Your Answer
- C. y = 6.23(0.999)x
- Question Number 11 Points: 5.00/5.00
- Question Text
- What is the value of b in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- A. -14.92
- B. 10.76
- C. 15.62
- D. 26.06
- Your Answer
- D. 26.06
- Question Number 12 Points: 0.00/5.00
- Question Text
- What is the quadratic regression equation for the points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- A. y = 2.40x^2 + 26.06x + 40.82
- B. y = -2.40x^2 + 26.06x + 40.83
- C. y = -2.40x^2 − 26.06x − 40.84
- D. y = -2.40x^2 + 26.06x − 40.82
- Your Answer
- C. y = -2.40x^2 - 26.06x - 40.84
- Question Number 13 Points: 0.00/5.00
- Question Text
- In 1990, there were 1,650 cell phone subscribers in San Antonio, Texas. In 1994, there were 5,010 and in 1999, there were 20,075. Assuming that this is exponential growth, find the exponential regression equation and use it to find the number of cell phone subscribers in 2015. Round to the nearer thousand.
- A. 1,705,423
- B. 2,834,106
- C. 4,204,771
- D. 4,786,955
- Your Answer
- D. 4,786,955
- Question Number 14 Points: 0.00/5.00
- Question Text
- Find the equation of the line of best fit for the points (-4, 10), (-1, 5), (2, -1), (3, -6) and (5, -7).
- A. y = -2x + 2
- B. y = 2x − 2
- C. y = 2x − 0.98
- D. y = -2x − 0.98
- Your Answer
- D. y = -2x - 0.98
- Question Number 15 Points: 0.00/5.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a positive correlation?
- A. The depth of the water in a pond and the amount of rainfall.
- B. The number of miles driven and the number of people on the
- bus.
- C. A person's height and the person's grade on the math test.
- D. The number of concert tickets purchased and the number of
- concert tickets still available for purchase.
- Your Answer
- C. A person's height and the person's grade on the math test.
- Question Number 16 Points: 5.00/5.00
- Question Text
- Which scatterplot shows a positive correlation?
- A.
- B.
- C.
- D.
- Your Answer
- A.
- Question Number 17 Points: 5.00/5.00
- Question Text
- Find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162).
- A. y = 8.43(1.69)^x
- B. y = 9.17(1.70)^x
- C. y = 5(0.92)^x
- D. y = 9.46(2.93)^x
- Your Answer
- B. y = 9.17(1.70)^x
- Question Number 18 Points: 0.00/5.00
- Question Text
- What is the value of b in the quadratic regression equation for these points: (-3, 1.2), (1, 0.4), (5, 1.6), (11, 2.6)?
- A. -0.976
- B. -0.97
- C. -0.01
- D. 0.009
- Your Answer
- B. -0.97
- Question Number 19 Points: 5.00/5.00
- Question Text
- What does it mean if a is negative in the quadratic regression equation?
- A. The data tends to decrease as x increases.
- B. The equation makes a curve that opens down.
- C. The vertex of the parabola is below the x-axis.
- D. The vertex of the parabola is to the left of the y-axis.
- Your Answer
- B. The equation makes a curve that opens down.
- Question Number 20 Points: 5.00/5.00
- Question Text
- Find the exponential regression equation for the data points (-3, 8), (0, 5), (2, 4), and (5, 3).
- A. y = 5.28(0.89)^x
- B. y = 6.23(0.72)^x
- C. y = 5(0.92)^x
- D. y = 5.53(1.08)^x
- Your Answer
- A. y = 5.28(0.89)^x
- Question Number 1 Points: 5.00/5.00
- Question Text
- A researcher wants to determine the best method for teaching college students: traditional campus classes or online classes. The researcher chooses to observe the final exam grades of fifty college students enrolled in both types of courses. What would be the lurking variable in this study?
- A. The online courses or traditional courses
- B. The grades on final exams
- C. The participant's learning style
- D. If the participants are enrolled in college courses
- Your Answer
- C. The participant's learning style
- Question Number 2 Points: 5.00/5.00
- Question Text
- A survey asks the question, "I don't buy magazines if unless I see an article I would like to read." What question-wording issue is this an example of?
- A. Unbalanced Response Options
- B. Leading Questions
- C. Planting Ideas with Questions
- D. Complicated Questions
- E. Sensitive Questions
- Your Answer
- D. Complicated Questions
- Question Number 3 Points: 5.00/5.00
- Question Text
- Restaurant patrons are asked to fill out a comment card rating the service they received. This is an example of what type of study design?
- A. Survey
- B. Observational Study
- C. Experiment
- Your Answer
- A. Survey
- Question Number 4 Points: 5.00/5.00
- Question Text
- What is the definition of a variable?
- A. The action the researcher is studying
- B. Something that may affect the results of a study that has not been included in the design
- C. Something that can be changed
- D. The value that they are trying to make a connection to
- Your Answer
- C. Something that can be changed
- Question Number 5 Points: 0.00/5.00
- Question Text
- To determine if eating a good breakfast improves performance on a standardized test, a study records scores from students who did eat a good breakfast and scores from those who did not. What type of study design is this an example of?
- A. Survey
- B. Observational Study
- C. Experiment
- Your Answer
- A. Survey
- Question Number 6 Points: 5.00/5.00
- Question Text
- A survey question is worded as, "Congressmen make at least $100,000 more than the average American. Do you think congressmen make enough money?" What question-wording issue is this an example of?
- A. Unbalanced Response Options
- B. Leading Questions
- C. Planting Ideas with Questions
- D. Complicated Questions
- E. Sensitive Questions
- Your Answer
- B. Leading Questions
- Question Number 7 Points: 5.00/5.00
- Question Text
- What is the dependent variable in an experiment?
- A. The data recorded about the participants' behavior
- B. The part of the experiment that is influenced and assigned to the participants
- C. The participants in the study
- D. The group that is not assigned a treatment
- Your Answer
- A. The data recorded about the participants' behavior
- Question Number 8 Points: 5.00/5.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. One of the high schools in your state was chosen at random and the students at that school were surveyed. What type of sampling is this using?
- A. Opportunity Sampling
- B. Self-Selected Sampling
- C. Simple Random Sampling
- D. Cluster Sampling
- E. Stratified Sampling
- Your Answer
- D. Cluster Sampling
- Question Number 9 Points: 5.00/5.00
- Question Text
- A study of college tuition costs is being conducted. Ten colleges around the United States are selected at random and all of the students enrolled at those schools are selected to participate in the study. What type of sampling is this using?
- A. Opportunity Sampling
- B. Self-Selected Sampling
- C. Simple Random Sampling
- D. Cluster Sampling
- E. Stratified Sampling
- Your Answer
- D. Cluster Sampling
- Question Number 10 Points: 0.00/5.00
- Question Text
- What is the control group of an experiment?
- A. The data recorded about the participants' behavior
- B. The part of the experiment that is influenced and assigned to the participants
- C. The participants in the study
- D. The group that is not assigned a treatment
- Your Answer
- C. The participants in the study
- Question Number 1 Points: 5.00/5.00
- Question Text
- What do you call two events with a sum of 1?
- A. Complementary events
- B. Supplementary events
- C. Favorable events
- D. Outcome
- Your Answer
- A. Complementary events
- Question Number 2 Points: 0.00/5.00
- Question Text
- A card is chosen at random from a standard deck of 52 playing cards, which consists of 4 suits with 13 cards. If someone picks a card and tells you that it is a queen, what is the conditional probability that the card is a club?
- A. 1/52
- B. 1/13
- C. 1/4
- D. 1/2
- Your Answer
- A. 1/52
- Question Number 3 Points: 5.00/5.00
- Question Text
- Which is an example of theoretical probability?
- A. Raul has a batting average of .333 so he should get a hit 1 out of every 3 at bats.
- B. You flipped a coin 100 times and got "tails" 70 times. The probability of getting "tails" on your next flip is 70%
- C. Prior to conducting an experiment on rolling a die, you determine the probability of rolling a 5 at 1:6
- D. You roll a die 10 times and get a result of 5 three times. You determine that there is a 30% of rolling a 5 on the next roll
- Your Answer
- C. Prior to conducting an experiment on rolling a die, you determine the probability of rolling a 5 at 6
- Question Number 4 Points: 0.00/5.00
- Question Text
- There are 20 players on a hockey team. 5 of them are rookies. Determine the probability that none of the rookies will be randomly selected to be included in the team's group of 6 starters.
- A. 15 114
- B. 1 3,876
- C. 1 38,760
- D. 1001 7752
- Your Answer
- B. 1 3,876
- Question Number 5 Points: 0.00/5.00
- Question Text
- Which of the following graphs is a valid probability distribution of a random variable over a week?
- A.
- B.
- C.
- D.
- Your Answer
- A.
- Question Number 6 Points: 0.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that the first is an odd number card (aces are considered odd because they have a value of 1 or 11) and the second is a face card.
- A. (20/52)(12/51)
- B. (20/52)(12/52)
- C. (20/52)(19/51)
- D. (20/52)(4/51) + (4/52)(20/51)
- Your Answer
- C. (20/52)(19/51)
- Question Number 7 Points: 5.00/5.00
- Question Text
- Determine the probability of not getting a 5 when rolling a fair die.
- A. 1/6
- B. 1/2
- C. 1/3
- D. 5/6
- Your Answer
- D. 5/6
- Question Number 8 Points: 5.00/5.00
- Question Text
- A researcher wants to conduct a genetic study using 25 randomly-selected volunteers. He has a volunteer pool of 30, composed of 15 males and 15 females. What is the probability of 12 male and 13 female volunteers OR 13 male and 12 female volunteers being selected at random for the study?
- A. 17/522
- B. 455/522
- C. 105/522
- D. 175/261
- Your Answer
- D. 175/261
- Question Number 9 Points: 0.00/5.00
- Question Text
- A bag contains 5 blue and 3 green marbles. Marbles are drawn at random without replacement. Which of the following gives the probability of drawing a blue and then a green marble?
- A. (5/8)(3/7)
- B. (3/8)(5/8)
- C. (3/8)(3/8)
- D. (3/8)(2/7)
- Your Answer
- D. (3/8)(2/7)
- Question Number 10 Points: 5.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that the first is an odd number (aces are considered odd because they have a value of 1 or 11) and the second is a face card.
- A. (20/52)(12/51)
- B. (20/52)(12/52)
- C. (20/52)(4/51) + (4/52) (20/51)
- D. (20/52)(19/51)
- Your Answer
- A. (20/52)(12/51)
- Question Number 11 Points: 5.00/5.00
- Question Text
- A researcher wants to conduct a genetic study using 10 randomly-selected volunteers. He has a volunteer pool of 20, composed of 10 males and 10 females. What is the probability that the randomly-selected group will be all male OR all female?
- A. 1/184,756
- B. 1/92,378
- C. 5/138,567
- D. 1/138,567
- Your Answer
- B. 1/92,378
- Question Number 12 Points: 0.00/5.00
- Question Text
- Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that the first card is a king and the second is a diamond.
- A. (4/52)(4/52)
- B. (4/52)(13/52)
- C. (13/52)(13/52)
- D. (4/52)(13/52) + (13/52)(4/52)
- Your Answer
- A. (4/52)(4/52)
- Question Number 13 Points: 5.00/5.00
- Question Text
- What is the theoretical probability of rolling a number with a value of 4 or greater on a die?
- A. 3/4
- B. 1/3
- C. 1/6
- D. 1/2
- Your Answer
- D. 1/2
- Question Number 14 Points: 5.00/5.00
- Question Text
- What percentage of males prefer to drive on multi-lane highways with traffic lights?
- A. 14%
- B. 25.5%
- C. 66.7%
- D. 100%
- Your Answer
- B. 25.5%
- Question Number 15 Points: 5.00/5.00
- Question Text
- Let the random variable A represent the outcome of a dice roll. Which of the following bar graphs correctly represent the probability distribution of A?
- A.
- B.
- C.
- D.
- Your Answer
- A.
- Question Number 16 Points: 5.00/5.00
- Question Text
- A card is chosen at random from a standard deck of 52 playing cards, which consist of 4 suits with 13 cards. If someone picks a card and tells you that it is a diamond, what is the conditional probability that the card is an ace?
- A. 1/52
- B. 1/13
- C. 1/4
- D. 1/2
- Your Answer
- B. 1/13
- Question Number 17 Points: 5.00/5.00
- Question Text
- Which of the following is represented by the intersection in the Venn diagram below?
- A. A number less than 4.
- B. A number less than 4.
- C. A number less than 4 and greater than 7.
- D. A number between 4 and 7.
- Your Answer
- D. A number between 4 and 7.
- Question Number 18 Points: 5.00/5.00
- Question Text
- Suppose a randomly-picked number is 11. Where is this number located in the Venn diagram below?
- A. Inside the circle on the left, excluding the intersection
- B. Inside the intersection
- C. Inside the oval on the right, excluding the intersection
- D. The number is not in the sample space.
- Your Answer
- C. Inside the oval on the right, excluding the intersection
- Question Number 19 Points: 5.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that both are odd numbers (aces are considered odd because they have a value of 1 or 11).
- A. (20/52)(12/51)
- B. (20/52)(20/52)
- C. (20/52)(19/51)
- D. (20/52)(4/51) + (4/52) (20/51)
- Your Answer
- C. (20/52)(19/51)
- Question Number 20 Points: 5.00/5.00
- Question Text
- Lucy has a bag of M&Ms. There are 15 blue, 7 brown, 10 green, 13 orange, 5 red, and 6 yellow candies in her bag. What is the probability that she will get a green M&M by drawing a random candy from the bag?
- A. 15 56
- B. 7 56
- C. 5 28
- D. 13 56
- Your Answer
- C. 5 28
- Question Number 1 Points: 5.00/5.00
- Question Text
- Hockey team A is 1 point behind hockey team B with only 30 seconds left in the game. The coach of team A decides to pull the goalie to put him in a forward position. What happens to the expected value of team A scoring a goal, and the expected value of team B scoring a goal?
- A.
- Only the expected value of team A scoring a goal will increase.
- B.
- Only the expected value of team B scoring a goal will increase.
- C.
- Both expected values will increase.
- D.
- Neither expected value will increase.
- Your Answer
- C.
- Both expected values will increase.
- Question Number 2 Points: 5.00/5.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "n" in the formula?
- A. 4
- B. 5
- C. 40
- D. 75
- Your Answer
- B. 5
- Question Number 3 Points: 5.00/5.00
- Question Text
- The formula associated with a binomial model is .
- Click here for a long description of the image above.
- What does the "q" in the formula represent?
- A. favorable outcomes
- B. number of trials
- C. probability of success
- D. probability of failure
- Your Answer
- D. probability of failure
- Question Number 4 Points: 5.00/5.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "n" in the formula?
- A. 4
- B. 5
- C. 40
- D. 75
- Your Answer
- B. 5
- Question Number 5 Points: 5.00/5.00
- Question Text
- The following two sets of measurements are for the weight of the same object in grams:
- {2.0, 1.9, 2.1, 1.8, 2.0} {1.8, 1.8, 2.0, 2.2, 2.2} Which of these two sets of measurements is more reliable?
- A.
- The first set
- B.
- The second set
- C.
- Both sets are equally reliable.
- D.
- There is insufficient information to determine which set is more reliable.
- Your Answer
- A.
- The first set
- Question Number 6 Points: 5.00/5.00
- Question Text
- About 5% of a certain type of wall nails made by a hardware supplier exceeds the requirement of being able to support 500 pounds of weight. The supplier decides to remove these nails and sell them as premium wall nails. What will happen to the expected weight that the regular nails can support?
- A.
- It will be less than 500 pounds.
- B.
- It will remain unchanged at 500 pounds.
- C.
- It will be greater than 500 pounds.
- D.
- It will decrease by a factor of 5.
- Your Answer
- A.
- It will be less than 500 pounds.
- Question Number 7 Points: 5.00/5.00
- Question Text
- A man lost a tooth due to dental problem. The dentist offers him two solutions: Live with the lost tooth for the rest of his life, or replace it with a titanium tooth replacement, which is very expensive. Which of the following should NOT be a factor in his decision making process?
- A.
- How the loss of a tooth may affect his dental health in the long run
- B.
- The cost of an implant
- C.
- His marital status
- D.
- How many years the titanium implant may last
- Your Answer
- C.
- His marital status
- Question Number 8 Points: 0.00/5.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 5% smaller. What is the mean actual size of the freezers purchased by all customers?
- A. 15.6
- B. 16.0
- C. 16.4
- D. 37.3
- Your Answer
- B. 16.0
- Question Number 9 Points: 0.00/5.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 5% smaller. What is the standard deviation in the actual size of the freezers purchased by all customers?
- A. 1.9
- B. 2.1
- C. 3.8
- D. 4.2
- Your Answer
- B. 2.1
- Question Number 10 Points: 5.00/5.00
- Question Text
- A paint supply store has a certain type of paint in stock. It sells the paint to a customer in lots represented by X. Suppose X has the following distribution:
- x 1 2 3 4
- P(x) 0.2 0.4 0.3 0.1
- Compute the expected number of lots sold to a random customer.
- A. 10
- B. 2.5
- C. 2.3
- D. 0.5
- Your Answer
- C. 2.3
- Question Number 11 Points: 5.00/5.00
- Question Text
- The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability that a score is more than 890.
- A. 1.18%
- B. 2.28%
- C. 13.6%
- D. 50%
- Your Answer
- B. 2.28%
- Question Number 12 Points: 5.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you will win $2 if the outcome is either 2 or 5, and lose $1 otherwise. What are your expected winnings in 20 tosses?
- A.
- You will not win or lose any money.
- B.
- You will lose $20.
- C.
- You will win $10.
- D.
- You will win $20.
- Your Answer
- A.
- You will not win or lose any money.
- Question Number 13 Points: 0.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you will win $2 if the outcome is 5, and lose $1 otherwise. What can you expect to win tossing the coin 20 times?
- A.
- You will not win or lose any money.
- B.
- You will lose $20.
- C.
- You will win $10.
- D.
- You will lose $10.
- Your Answer
- C.
- You will win $10.
- Question Number 14 Points: 5.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 39,000 miles.
- A. 50%
- B. 68.2%
- C. 81.8%
- D. 84.1%
- Your Answer
- D. 84.1%
- Question Number 15 Points: 5.00/5.00
- Question Text
- The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability that a score is less than 610.
- A. 1.18%
- B. 2.28%
- C. 13.6%
- D. 50%
- Your Answer
- B. 2.28%
- Question Number 16 Points: 5.00/5.00
- Question Text
- The formula associated with a binomial model is .
- Click here for a long description of the image above.
- What does the "n" in the formula represent?
- A. favorable outcomes
- B. number of trials
- C. probability of success
- D. probability of failure
- Your Answer
- B. number of trials
- Question Number 17 Points: 5.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last between 38,000 and 42,000 miles.
- A. 50%
- B. 68.2%
- C. 95.5%
- D. 84.1%
- Your Answer
- C. 95.5%
- Question Number 18 Points: 0.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last between 39,000 and 41,000 miles.
- A. 50%
- B. 68.2%
- C. 81.8%
- D. 84.1%
- Your Answer
- D. 84.1%
- Question Number 19 Points: 0.00/5.00
- Question Text
- An appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of a customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3
- What is the mean size of the freezers purchased by all customers?
- A. 1
- B. 16.17
- C. 16.38
- D. 40.5
- Your Answer
- D. 40.5
- Question Number 20 Points: 5.00/5.00
- Question Text
- In a binomial model, if p = .27, what is the value of q?
- A. .27
- B. .63
- C. .73
- D. 1.0
- Your Answer
- C. .73
- Question Number 1 Points: 5.00/5.00
- Question Text
- A manufacturer makes ceramic heaters that have a life expectancy of 10 years. Two percent of the heaters are defective because they break down after the first month. If the manufacturing process is improved so that the number of defective units drops to 1%, how will the life expectancy of the heaters change?
- Your Answer
- C. The life expectancy will increase to more than 10 years.
- Question Number 2 Points: 0.00/5.00
- Question Text
- A milk bottling company is required by law to fill all bottles with volume of within 2% accuracy. What should the manager do to make sure this requirement is met?
- Your Answer
- B.
- Minimize mean volume of milk in the bottles
- Question Number 3 Points: 5.00/5.00
- Question Text
- Medical procedures A and B have success rates of 40% ± 2% and 40% ±5%, respectively. Which of the two procedures is riskier?
- Your Answer
- B.
- Procedure B
- Question Number 4 Points: 5.00/5.00
- Question Text
- Let X represent the outcome of a wheel of fortune that has whole numbers 0 to 50 on different slots. What is the expected outcome?
- Your Answer
- B. 25
- Question Number 5 Points: 5.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. What is the expected value of the outcome?
- Your Answer
- C. 3.5
- Question Number 6 Points: 0.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you will win $2 if the outcome is either 2 or 5, and lose $1 otherwise. What are your expected winnings in 20 tosses?
- Your Answer
- B.
- You will lose $20.
- Question Number 7 Points: 0.00/5.00
- Question Text
- About 5% of a certain type of wall nails made by a hardware supplier exceeds the requirement of being able to support 500 pounds of weight. The supplier decides to remove these nails and sell them as premium wall nails. What will happen to the expected weight that the regular nails can support?
- Your Answer
- C.
- It will be greater than 500 pounds.
- Question Number 8 Points: 5.00/5.00
- Question Text
- Hockey team A is 1 point behind hockey team B with only 30 seconds left in the game. The coach of team A decides to pull the goalie to put him in a forward position. What happens to the expected value of team A scoring a goal, and the expected value of team B scoring a goal?
- Your Answer
- C.
- Both expected values will increase.
- Question Number 9 Points: 0.00/5.00
- Question Text
- A paint supply store has a certain type of paint in stock. It sells the paint to a customer in lots represented by X. Suppose X has the following distribution:
- x 1 2 3 4
- P(x) 0.2 0.4 0.3 0.1
- Compute the expected number of lots sold to a random customer.
- Your Answer
- D. 0.5
- Question Number 10 Points: 2.00/2.00
- Question Text
- You want to make a decision from 3 choices based on the outcome of the roll of a fair die. If the outcome is 1 or 2, you will pick choice A. If the outcome is 3 or 4, you will pick choice B. Otherwise, you will pick choice C. Is this a fair way to make a decision?
- Your Answer
- True
- Question Number 1 Points: 5.00/5.00
- Question Text
- What do you call two events with a sum of 1?
- Your Answer
- A. Complementary events
- Question Number 2 Points: 0.00/5.00
- Question Text
- A card is chosen at random from a standard deck of 52 playing cards, which consists of 4 suits with 13 cards. If someone picks a card and tells you that it is a queen, what is the conditional probability that the card is a club?
- Your Answer
- A. 1/52
- Question Number 3 Points: 0.00/5.00
- Question Text
- Which is an example of theoretical probability?
- Your Answer
- B. You flipped a coin 100 times and got "tails" 70 times. The probability of getting "tails" on your next flip is 70%
- Question Number 4 Points: 0.00/5.00
- Question Text
- There are 20 players on a hockey team. 5 of them are rookies. Determine the probability that none of the rookies will be randomly selected to be included in the team's group of 6 starters.
- Your Answer
- A. 15 114
- Question Number 5 Points: 0.00/5.00
- Question Text
- Which of the following graphs is a valid probability distribution of a random variable over a week?
- Your Answer
- B.
- Question Number 6 Points: 0.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that the first is an odd number card (aces are considered odd because they have a value of 1 or 11) and the second is a face card.
- Your Answer
- B. (20/52)(12/52)
- Question Number 7 Points: 5.00/5.00
- Question Text
- Determine the probability of not getting a 5 when rolling a fair die.
- Your Answer
- D. 5/6
- Question Number 8 Points: 5.00/5.00
- Question Text
- A researcher wants to conduct a genetic study using 25 randomly-selected volunteers. He has a volunteer pool of 30, composed of 15 males and 15 females. What is the probability of 12 male and 13 female volunteers OR 13 male and 12 female volunteers being selected at random for the study?
- Your Answer
- D. 175/261
- Question Number 9 Points: 0.00/5.00
- Question Text
- A bag contains 5 blue and 3 green marbles. Marbles are drawn at random without replacement. Which of the following gives the probability of drawing a blue and then a green marble?
- Your Answer
- B. (3/8)(5/8)
- Question Number 10 Points: 5.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that the first is an odd number (aces are considered odd because they have a value of 1 or 11) and the second is a face card.
- Your Answer
- A. (20/52)(12/51)
- Question Number 11 Points: 0.00/5.00
- Question Text
- A researcher wants to conduct a genetic study using 10 randomly-selected volunteers. He has a volunteer pool of 20, composed of 10 males and 10 females. What is the probability that the randomly-selected group will be all male OR all female?
- Your Answer
- C. 5/138,567
- Question Number 12 Points: 5.00/5.00
- Question Text
- Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that the first card is a king and the second is a diamond.
- Your Answer
- B. (4/52)(13/52)
- Question Number 13 Points: 5.00/5.00
- Question Text
- What is the theoretical probability of rolling a number with a value of 4 or greater on a die?
- Your Answer
- D. 1/2
- Question Number 14 Points: 5.00/5.00
- Question Text
- What percentage of males prefer to drive on multi-lane highways with traffic lights?
- Your Answer
- B. 25.5%
- Question Number 15 Points: 5.00/5.00
- Question Text
- Let the random variable A represent the outcome of a dice roll. Which of the following bar graphs correctly represent the probability distribution of A?
- Your Answer
- A.
- Question Number 16 Points: 5.00/5.00
- Question Text
- A card is chosen at random from a standard deck of 52 playing cards, which consist of 4 suits with 13 cards. If someone picks a card and tells you that it is a diamond, what is the conditional probability that the card is an ace?
- Your Answer
- B. 1/13
- Question Number 17 Points: 5.00/5.00
- Question Text
- Which of the following is represented by the intersection in the Venn diagram below?
- Your Answer
- D. A number between 4 and 7.
- Question Number 18 Points: 5.00/5.00
- Question Text
- Suppose a randomly-picked number is 11. Where is this number located in the Venn diagram below?
- Your Answer
- C. Inside the oval on the right, excluding the intersection
- Question Number 19 Points: 0.00/5.00
- Question Text
- Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that both are odd numbers (aces are considered odd because they have a value of 1 or 11).
- Your Answer
- D. (20/52)(4/51) + (4/52) (20/51)
- Question Number 20 Points: 0.00/5.00
- Question Text
- Lucy has a bag of M&Ms. There are 15 blue, 7 brown, 10 green, 13 orange, 5 red, and 6 yellow candies in her bag. What is the probability that she will get a green M&M by drawing a random candy from the bag?
- Your Answer
- D. 13 56
- Question Number 1 Points: 5.00/5.00
- Question Text
- Which of the following does the intersection in the Venn diagram below represent?
- Your Answer
- C. An event that is both A and B
- Question Number 2 Points: 0.00/2.00
- Question Text
- You want to make a decision from 3 choices based on the outcome of the roll of a fair die. If the outcome is 1 or 2, you will pick choice A. If the outcome is 3 or 4, you will pick choice B. Otherwise, you will pick choice C. Is this a fair way to make a decision?
- Your Answer
- False
- Question Number 3 Points: 0.00/5.00
- Question Text
- You conduct an experiment where you roll a die and record the results. You roll the die 1230 times and the results are shown in the table below:
- Result
- Frequency
- 1
- 245
- 2
- 172
- 3
- 219
- 4
- 201
- 5
- 137
- 6
- 256
- What is the experimental probability of rolling a "1" on your next roll?
- Your Answer
- A. 0.1667
- Question Number 4 Points: 5.00/5.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. One of the high schools in your state was chosen at random and the students at that school were surveyed. What type of sampling is this using?
- Your Answer
- D. Cluster Sampling
- Question Number 5 Points: 0.00/5.00
- Question Text
- Find the correlation coefficient of the line of best fit for the points (-3, -40), (1, 12), (5, 72), (7, 137).
- Your Answer
- C. 16.9
- Question Number 6 Points: 5.00/5.00
- Question Text
- When there is no change in value from one data point to the next in a line graph, what type of slope does the line that connects them have?
- Your Answer
- D. Zero
- Question Number 7 Points: 5.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats: {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with 2 rats?
- Your Answer
- C. 3
- Question Number 8 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?
- Your Answer
- D. Between 28.8 and 34.6 hours
- Question Number 9 Points: 5.00/5.00
- Question Text
- There are 7 quarters, 2 dimes, 5 nickels, and 11 pennies to choose from. What is the sample space?
- Your Answer
- A. 25
- Question Number 10 Points: 2.00/2.00
- Question Text
- The mean can be greater than the largest number in a data set.
- Your Answer
- False
- Question Number 11 Points: 0.00/5.00
- Question Text
- Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that the first card is a king and the second is a diamond.
- Your Answer
- C. (13/52)(13/52)
- Question Number 12 Points: 5.00/5.00
- Question Text
- Identify the median on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- C. 8
- Question Number 13 Points: 0.00/5.00
- Question Text
- A survey question is worded as, "Congressmen make at least $100,000 more than the average American. Do you think congressmen make enough money?" What question-wording issue is this an example of?
- Your Answer
- C. Planting Ideas with Questions
- Question Number 14 Points: 5.00/5.00
- Question Text
- To determine if eating a good breakfast improves performance on a standardized test, a study records scores from students who did eat a good breakfast and scores from those who did not. What type of study design is this an example of?
- Your Answer
- B. Observational Study
- Question Number 15 Points: 5.00/5.00
- Question Text
- Question
- Click here for a long description of the image above.
- The bar graph shows the number of home runs Babe Ruth hit
- from 1926 to 1930. By how much does the largest number of
- home runs hit in a year exceed the smallest number of home
- runs hit in a year?
- Your Answer
- B. 14
- Question Number 16 Points: 5.00/5.00
- Question Text
- What is the definition of a variable?
- Your Answer
- C. Something that can be changed
- Question Number 17 Points: 5.00/5.00
- Question Text
- Doctors want to determine the best medication for Alzheimer's, medication A or medication B. They randomly choose participants to be given one of the unmarked medications. Only the researchers know which participants were given which medication. Identify the type of experiment described.
- Your Answer
- B. Randomized controlled blind experiment
- Question Number 18 Points: 5.00/5.00
- Question Text
- Describe the following scatterplot.
- Your Answer
- A. positive correlation
- Question Number 19 Points: 0.00/5.00
- Question Text
- Find the exponential regression equation for the data points (-3, 8), (0, 5), (2, 4), and (5, 3).
- Your Answer
- B. y = 6.23(0.72)^x
- Question Number 20 Points: 5.00/5.00
- Question Text
- Let the random variable A represent the outcome of a dice roll. Which of the following bar graphs correctly represent the probability distribution of A?
- Your Answer
- A.
- Question Number 21 Points: 5.00/5.00
- Question Text
- A manufacturer makes ceramic heaters that have a life expectancy of 10 years. Two percent of the heaters are defective because they break down after the first month. If the manufacturing process is improved so that the number of defective units drops to 1%, how will the life expectancy of the heaters change?
- Your Answer
- C. The life expectancy will increase to more than 10 years.
- Question Number 22 Points: 5.00/5.00
- Question Text
- Lucy has a bag of M&Ms. There are 15 blue, 7 brown, 10 green, 13 orange, 5 red, and 6 yellow candies in her bag. What is the probability that she will get an orange M&M by drawing a random candy from the bag?
- Your Answer
- B. 13 56
- Question Number 23 Points: 5.00/5.00
- Question Text
- An appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of a customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3
- What is the mean size of the freezers purchased by all customers?
- Your Answer
- C. 16.38
- Question Number 24 Points: 5.00/5.00
- Question Text
- What is the approximate conditional probability of someone preferring to drive on a two-lane highway with traffic lights, given that she is female?
- Your Answer
- B. 0.36
- Question Number 25 Points: 5.00/5.00
- Question Text
- During the Jones’ 5 day vacation in Dallas, Texas, the average low temperature was 79°F. The low temperature on the first four days was 80, 81, 79, and 77. What was the temperature on the fifth day?
- Your Answer
- A. 78
- Question Number 26 Points: 0.00/5.00
- Question Text
- The standardized mathematics scores of a certain school district are normally distributed with the mean of 500 and standard deviation 100. Find the probability that a score is greater than 700.
- Your Answer
- A. 1%
- Question Number 27 Points: 0.00/5.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "n" in the formula?
- Your Answer
- D. 75
- Question Number 1 Points: 5.00/5.00
- Question Text
- Hockey team A is 1 point behind hockey team B with only 30 seconds left in the game. The coach of team A decides to pull the goalie to put him in a forward position. What happens to the expected value of team A scoring a goal, and the expected value of team B scoring a goal?
- Your Answer
- C.
- Both expected values will increase.
- Question Number 2 Points: 0.00/5.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "n" in the formula?
- Your Answer
- C. 40
- Question Number 3 Points: 0.00/5.00
- Question Text
- The formula associated with a binomial model is .
- Click here for a long description of the image above.
- What does the "q" in the formula represent?
- Your Answer
- C. probability of success
- Question Number 4 Points: 0.00/5.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "n" in the formula?
- Your Answer
- C. 40
- Question Number 5 Points: 0.00/5.00
- Question Text
- The following two sets of measurements are for the weight of the same object in grams:
- {2.0, 1.9, 2.1, 1.8, 2.0} {1.8, 1.8, 2.0, 2.2, 2.2} Which of these two sets of measurements is more reliable?
- Your Answer
- B.
- The second set
- Question Number 6 Points: 0.00/5.00
- Question Text
- About 5% of a certain type of wall nails made by a hardware supplier exceeds the requirement of being able to support 500 pounds of weight. The supplier decides to remove these nails and sell them as premium wall nails. What will happen to the expected weight that the regular nails can support?
- Your Answer
- B.
- It will remain unchanged at 500 pounds.
- Question Number 7 Points: 0.00/5.00
- Question Text
- A man lost a tooth due to dental problem. The dentist offers him two solutions: Live with the lost tooth for the rest of his life, or replace it with a titanium tooth replacement, which is very expensive. Which of the following should NOT be a factor in his decision making process?
- Your Answer
- D.
- How many years the titanium implant may last
- Question Number 8 Points: 0.00/5.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 5% smaller. What is the mean actual size of the freezers purchased by all customers?
- Your Answer
- C. 16.4
- Question Number 9 Points: 0.00/5.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 5% smaller. What is the standard deviation in the actual size of the freezers purchased by all customers?
- Your Answer
- C. 3.8
- Question Number 10 Points: 0.00/5.00
- Question Text
- A paint supply store has a certain type of paint in stock. It sells the paint to a customer in lots represented by X. Suppose X has the following distribution:
- x 1 2 3 4
- P(x) 0.2 0.4 0.3 0.1
- Compute the expected number of lots sold to a random customer.
- Your Answer
- B. 2.5
- Question Number 11 Points: 5.00/5.00
- Question Text
- The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability that a score is more than 890.
- Your Answer
- B. 2.28%
- Question Number 12 Points: 0.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you will win $2 if the outcome is either 2 or 5, and lose $1 otherwise. What are your expected winnings in 20 tosses?
- Your Answer
- C.
- You will win $10.
- Question Number 13 Points: 0.00/5.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you will win $2 if the outcome is 5, and lose $1 otherwise. What can you expect to win tossing the coin 20 times?
- Your Answer
- A.
- You will not win or lose any money.
- Question Number 14 Points: 5.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 39,000 miles.
- Your Answer
- D. 84.1%
- Question Number 15 Points: 5.00/5.00
- Question Text
- The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability that a score is less than 610.
- Your Answer
- B. 2.28%
- Question Number 16 Points: 0.00/5.00
- Question Text
- The formula associated with a binomial model is .
- Click here for a long description of the image above.
- What does the "n" in the formula represent?
- Your Answer
- C. probability of success
- Question Number 17 Points: 5.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last between 38,000 and 42,000 miles.
- Your Answer
- C. 95.5%
- Question Number 18 Points: 0.00/5.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last between 39,000 and 41,000 miles.
- Your Answer
- D. 84.1%
- Question Number 19 Points: 0.00/5.00
- Question Text
- An appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of a customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3
- What is the mean size of the freezers purchased by all customers?
- Your Answer
- B. 16.17
- Question Number 20 Points: 0.00/5.00
- Question Text
- In a binomial model, if p = .27, what is the value of q?
- Your Answer
- B. .63
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Question Number 1 Points: 5.00/5.00
- Question Text
- Question
- There are 5 red socks, 2 white socks and 3 blue socks in a basket. What is the probability of picking a pair of red socks?
- Your Answer
- A. 2 ninths
- Question Number 2 Points: 0.00/5.00
- Question Text
- When playing a game, the winner must roll a number less than 3 or more than 4. What is the probability of a person winning the game?
- Your Answer
- A. 1/9
- Question Number 3 Points: 0.00/5.00
- Question Text
- Question
- 6 sided die and 4 section spinner, numbered 1, 2, 3, and 4
- David rolls a die and spins the spinner shown. What is the
- probability that he gets a 1 on both the die and the spinner?
- Your Answer
- C. 5 twelfths
- Question Number 4 Points: 0.00/5.00
- Question Text
- Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that both are kings.
- Your Answer
- C. (13/52)(39/52) + (39/52) (13/52)
- Question Number 5 Points: 5.00/5.00
- Question Text
- Question
- You toss a penny, nickel, dime and quarter. What is the probability of all four landing tails?
- Your Answer
- D. 1 sixteenth
- Question Number 6 Points: 5.00/5.00
- Question Text
- Question
- A standard deck of playing cards has 52 cards - 13 spades, 13
- clubs, 13 hearts, and 13 diamonds. What is the probability of
- drawing a spade from a standard 52-card deck, replacing it, and
- then drawing another spade?
- Your Answer
- C. 1 16
- Question Number 7 Points: 5.00/5.00
- Question Text
- Question
- The word "independent" is spelled out on index cards, one letter
- per card. Ken randomly selects a card and does not replace it,
- and then Barb randomly selects a card. What is the probability
- that they both get a card with an "e" written on it?
- Your Answer
- A. 3 55
- Question Number 8 Points: 0.00/5.00
- Question Text
- Question
- The chart shows the membership in the High School Band. What is the probability that a boy and a girl chosen randomly will both be seniors?
- HS Band
- Freshmen
- Sophomores
- Juniors
- Seniors
- Boys
- 10
- 7
- 10
- 9
- Girls
- 8
- 11
- 9
- 7
- Your Answer
- B. 1 fifth
- Question Number 9 Points: 0.00/5.00
- Question Text
- Question
- Three cards are drawn from a deck of fifteen cards numbered 1 through 15. Once a card is selected, it is not replaced. What is the probability of drawing three odd numbers in a row?
- Your Answer
- A. 8 fifteenths
- Question Number 10 Points: 5.00/5.00
- Question Text
- You are taking a 30-question multiple-choice exam that you have not studied for. You will have to guess on every question. Identify the correct event type for this situation.
- Your Answer
- A. Independent
- Question Number 1 Points: 5.00/5.00
- Question Text
- Dustin is getting ready for a job interview. He has 3 pairs of slacks, 4 shirts, and 2 ties to choose from. What is the probability that his outfit will contain the first pair of slacks, fourth shirt, and second tie?
- Your Answer
- A. 1 24
- Question Number 2 Points: 5.00/5.00
- Question Text
- Suppose a sample space represents the following objects: {airplanes, gliders, helicopters, rockets}. Which of the following does the region outside the oval in the Venn diagram below represent?
- Your Answer
- D. Airplanes, helicopters, and rockets
- Question Number 3 Points: 5.00/5.00
- Question Text
- Suppose a randomly-picked number is 1. Where is this number located in the Venn diagram below?
- Your Answer
- A. Inside the circle on the left, excluding the intersection
- Question Number 4 Points: 5.00/5.00
- Question Text
- Lucy has a bag of M&Ms. There are 15 blue, 7 brown, 10 green, 13 orange, 5 red, and 6 yellow candies in her bag. What is the probability that she will get a red M&M by drawing a random candy from the bag?
- Your Answer
- C. 5 56
- Question Number 5 Points: 0.00/5.00
- Question Text
- Lucy has a bag of M&Ms. There are 15 blue, 7 brown, 10 green, 13 orange, 5 red, and 6 yellow candies in her bag. What is the probability that she will get a green M&M by drawing a random candy from the bag?
- Your Answer
- B. 7 56
- Question Number 6 Points: 5.00/5.00
- Question Text
- Suppose a randomly-picked number is 5. Where is this number located in the Venn diagram below?
- Your Answer
- B. Inside the intersection
- Question Number 7 Points: 0.00/5.00
- Question Text
- There are 20 players on the school's water polo team. 8 of them are freshmen. The coach needs 8 starters. Determine the probability that the 8 freshmen will be randomly selected to be starters.
- Your Answer
- C. 7 41,990
- Question Number 8 Points: 0.00/5.00
- Question Text
- Dustin is getting ready for a job interview. He has 3 pairs of slacks, 4 shirts, and 2 ties to choose from. What is the probability of his outfit containing the second pair of slacks, third shirt, and first tie?
- Your Answer
- B. 1 9
- Question Number 9 Points: 5.00/5.00
- Question Text
- Which of the following is represented by the intersection in the Venn diagram below?
- Your Answer
- D. A number between 4 and 7.
- Question Number 10 Points: 0.00/5.00
- Question Text
- An animal is randomly picked from all animals. Two of these possible animals are an elephant and a mouse. Which of the following is the correct way to draw a Venn diagram depicting the sample space and the diagram?
- Your Answer
- B.
- Question Number 1 Points: 5.00/5.00
- Question Text
- What is the sum of the probabilities of all possible outcomes?
- Your Answer
- B. 1
- Question Number 2 Points: 0.00/5.00
- Question Text
- What is the probability of rolling a number between 1 and 6, inclusive, on a fair die?
- Your Answer
- A. 1/6
- Question Number 3 Points: 0.00/5.00
- Question Text
- Your little brother bets you that if he flips a coin 4 times, he will get "heads", 3 times. You know the theoretical probability is in your favor. Which of the following is your best response to his challenge?
- Your Answer
- C. Flip a coin 4 times yourself and then decide
- Question Number 4 Points: 0.00/5.00
- Question Text
- What is the probability of rolling a 7 on a fair die?
- Your Answer
- B. 1/6
- Question Number 5 Points: 5.00/5.00
- Question Text
- What is the probability of rolling an even number on a fair die?
- Your Answer
- C. 1/2
- Question Number 6 Points: 5.00/5.00
- Question Text
- Determine the probability of drawing a club from a regular deck of cards.
- Your Answer
- B. 1/4
- Question Number 7 Points: 0.00/5.00
- Question Text
- Which of the following tables is definitely NOT a valid probability distribution of a random variable?
- Your Answer
- B.
- Question Number 8 Points: 0.00/5.00
- Question Text
- What is the theoretical probability of rolling a number with a value of 4 or greater on a die?
- Your Answer
- B. 1/3
- Question Number 9 Points: 0.00/5.00
- Question Text
- Which is an example of theoretical probability?
- Your Answer
- D. You roll a die 10 times and get a result of 5 three times. You determine that there is a 30% of rolling a 5 on the next roll
- Question Number 10 Points: 0.00/5.00
- Question Text
- Which of the following tables is definitely NOT a valid probability distribution of a random variable?
- Your Answer
- B.
- Question Number 11 Points: 5.00/5.00
- Question Text
- What is the theoretical probability of drawing an ace from a standard deck of playing cards?
- Your Answer
- B. 1/13
- Question Number 12 Points: 5.00/5.00
- Question Text
- You conduct an experiment where you roll a die and record the results. You roll the die 1230 times and the results are shown in the table below:
- Result
- Frequency
- 1
- 245
- 2
- 172
- 3
- 219
- 4
- 201
- 5
- 137
- 6
- 256
- What is the theoretical probability of rolling a "1" on your next roll?
- Your Answer
- C. 0.1667
- Question Number 1 Points: 0.00/5.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a negative correlation?
- Your Answer
- D. The cost a telephone call and the length of the call.
- Question Number 2 Points: 0.00/5.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 12.8 grams of radioactive substance. 9 days later, there are 7.33 grams. After 14 days, there are 5.38 grams. After 30 days, there are 2.00 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days and use the equation to determine the amount of radioactive material remaining after 50 days.
- Your Answer
- A. 0.56 g
- Question Number 3 Points: 5.00/5.00
- Question Text
- Describe the following scatterplot.
- Your Answer
- B. negative correlation
- Question Number 4 Points: 5.00/5.00
- Question Text
- What is the value of a in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- C. -2.4
- Question Number 5 Points: 5.00/5.00
- Question Text
- Describe the following scatterplot.
- Your Answer
- B. negative correlation
- Question Number 6 Points: 5.00/5.00
- Question Text
- Ft. Clyman General Hospital created a scatter plot to illustrate the number of babies that were born in the maternity ward over the past several years. The data for 1996 was missing. According to the scatter plot, approximately how many babies do you predict were born during 1996?
- Your Answer
- B. 700
- Question Number 7 Points: 0.00/5.00
- Question Text
- Find the equation of the line of best fit for the points (-3, -40), (1, 12), (5, 72), (7, 137).
- Your Answer
- C. y = 17x - 3
- Question Number 8 Points: 5.00/5.00
- Question Text
- Ft. Clyman General Hospital created a scatter plot to illustrate the number of babies that were born in the maternity ward over the past several years. The data for 1999 was missing. According to the scatter plot, approximately how many babies do you predict were born during 1999?
- Your Answer
- C. 800
- Question Number 9 Points: 5.00/5.00
- Question Text
- Find the correlation coefficient of the line of best fit for the points (-4, 10), (-1, 5), (2, -1), (3, -6) and (5, -7).
- Your Answer
- B. -0.98
- Question Number 10 Points: 5.00/5.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 6.2 grams of radioactive substance. 12 days later, there are 6.16 grams. After 19 days, there are 6.13 grams. After 46 days, there are 5.92 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days.
- Your Answer
- C. y = 6.23(0.999)x
- Question Number 11 Points: 5.00/5.00
- Question Text
- What is the value of b in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- D. 26.06
- Question Number 12 Points: 0.00/5.00
- Question Text
- What is the quadratic regression equation for the points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- B. y = -2.40x^2 + 26.06x + 40.83
- Question Number 13 Points: 0.00/5.00
- Question Text
- In 1990, there were 1,650 cell phone subscribers in San Antonio, Texas. In 1994, there were 5,010 and in 1999, there were 20,075. Assuming that this is exponential growth, find the exponential regression equation and use it to find the number of cell phone subscribers in 2015. Round to the nearer thousand.
- Your Answer
- C. 4,204,771
- Question Number 14 Points: 0.00/5.00
- Question Text
- Find the equation of the line of best fit for the points (-4, 10), (-1, 5), (2, -1), (3, -6) and (5, -7).
- Your Answer
- C. y = 2x - 0.98
- Question Number 15 Points: 0.00/5.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a positive correlation?
- Your Answer
- D. The number of concert tickets purchased and the number of
- concert tickets still available for purchase.
- Question Number 16 Points: 5.00/5.00
- Question Text
- Which scatterplot shows a positive correlation?
- Your Answer
- A.
- Question Number 17 Points: 5.00/5.00
- Question Text
- Find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162).
- Your Answer
- B. y = 9.17(1.70)^x
- Question Number 18 Points: 0.00/5.00
- Question Text
- What is the value of b in the quadratic regression equation for these points: (-3, 1.2), (1, 0.4), (5, 1.6), (11, 2.6)?
- Your Answer
- D. 0.009
- Question Number 19 Points: 5.00/5.00
- Question Text
- What does it mean if a is negative in the quadratic regression equation?
- Your Answer
- B. The equation makes a curve that opens down.
- Question Number 20 Points: 0.00/5.00
- Question Text
- Find the exponential regression equation for the data points (-3, 8), (0, 5), (2, 4), and (5, 3).
- Your Answer
- C. y = 5(0.92)^x
- Quest
- Question Number 1 Points: 5.00/5.00
- Question Text
- What is the value of a in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- C. -2.4
- Question Number 2 Points: 0.00/5.00
- Question Text
- In 1985, there were 285 cell phone subscribers in Cleveland, Ohio. In 1988, there were 1,527 and in 1994, there were 43,871. Assuming that this is exponential growth, find the exponential regression equation and use it to find the number of cell phone subscribers in 1990. Round to the nearer hundred.
- Your Answer
- B. 6,600
- Question Number 3 Points: 0.00/5.00
- Question Text
- What is the value of a in the quadratic regression equation for these points: (-3, 1.2), (1, 0.4), (5, 1.6), (11, 2.6)?
- Your Answer
- C. 0.29
- Question Number 4 Points: 0.00/5.00
- Question Text
- What is the quadratic regression equation for the points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- A. y = 2.40x^2 + 26.06x + 40.82
- Question Number 5 Points: 0.00/5.00
- Question Text
- A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts 100 bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 240 bacteria. Assuming exponential growth, what is the equation to determine the number of bacteria after x hours?
- Your Answer
- C. y = 100(2.4)^t
- Question Number 6 Points: 0.00/5.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 12.8 grams of radioactive substance. 9 days later, there are 7.33 grams. After 14 days, there are 5.38 grams. After 30 days, there are 2.00 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days and use the equation to determine the amount of radioactive material remaining after 50 days.
- Your Answer
- C. 3.27 g
- Question Number 7 Points: 0.00/5.00
- Question Text
- A biologist is researching a newly-discovered species of bacteria. He puts 1,000 bacteria into what he has determined to be a favorable growth medium. Twelve hours later, he measures 12,500 bacteria. Assuming exponential growth, find the growth equation and use it to determine the number of bacteria after twenty hours.
- Your Answer
- D. 78,324ion Number 1 Points: 5.00/5.00
- Question Text
- Which of these scatterplots shows a negative correlation?
- Your Answer
- A.
- Question Number 2 Points: 5.00/5.00
- Question Text
- Which of these scatterplots does not show a correlation between
- the data?
- Your Answer
- B.
- Question Number 3 Points: 5.00/5.00
- Question Text
- The city of Harmonville created a scatter plot to illustrate the number of robberies that have been reported there over the past several years. The data for 2006 was missing. According to the scatter plot, how many reported robberies do you predict occurred during 2006?
- Your Answer
- B. 1,200
- Question Number 4 Points: 5.00/5.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot that shows no correlation?
- Your Answer
- B. The amount of money spent to make a film and the number of
- people who pay to see it.
- Question Number 5 Points: 5.00/5.00
- Question Text
- Which of these scatterplots shows a positive correlation?
- Your Answer
- C.
- Question Number 6 Points: 5.00/5.00
- Question Text
- Forest Pointe College created a scatter plot to illustrate how its enrollment has declined over the past several years. Which of the following scatter plots has the most appropriate line of best fit?
- Your Answer
- B.
- Question Number 7 Points: 5.00/5.00
- Question Text
- The scatter plot below shows the crime index for various cities as compared to their populations. According to the scatter plot, what would you predict would be the crime index for a city with a population of 220,000?
- Your Answer
- C. 500
- Question Number 8 Points: 0.00/5.00
- Question Text
- Clive keeps track of his gas mileage for every trip he takes. He has plotted the information on a scatter plot. What is the slope of the line of best fit?
- Your Answer
- A. 1/50
- Question Number 9 Points: 5.00/5.00
- Question Text
- The table represents a comparison of cat years to human years. Draw a scatterplot and tell the relationship of the data.
- Cat Years 1 3 4 6 7
- Human Years 13 33 43 63
- 73
- Your Answer
- A. positive correlation
- Question Number 10 Points: 5.00/5.00
- Question Text
- Scott plays video games every day after school. It seems like the more he plays, the better his scores get. The scatter plot below compares Scott’s high scores to the amount of time he’s played. According to the scatter plot, what would Scott’s high score be when he’s played for 60 hours?
- Your Answer
- A. 140
- Question Number 1 Points: 0.00/5.00
- Question Text
- The city transit bus is supposed to arrive at a bus stop at 15 minutes past the hour every hour. If the arrival time has a standard deviation of 4 minutes, when should you expect the bus to arrive?
- Your Answer
- D. Between 11 and 15 minutes past the hour
- Question Number 2 Points: 0.00/5.00
- Question Text
- A survey question is worded as, "Congressmen make at least $100,000 more than the average American. Do you think congressmen make enough money?" What question-wording issue is this an example of?
- Your Answer
- D. Complicated Questions
- Question Number 3 Points: 5.00/5.00
- Question Text
- According to the bar graph, which country can expect to have the greatest growth in total population from 1950 to 2050?
- Click here for a long description of the image above.
- Your Answer
- C. Egypt
- Question Number 4 Points: 5.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats: {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with 2 rats?
- Your Answer
- C. 3
- Question Number 5 Points: 5.00/5.00
- Question Text
- When there is an increase from one data point to the next in a line graph, what type of slope does the line that connects them have?
- Your Answer
- B. Positive
- Question Number 6 Points: 5.00/5.00
- Question Text
- To determine the effectiveness of an exercise plan on weight-loss, participants are divided into two groups. One group is given an exercise plan and the second group is responsible for creating their own exercise plan. After 8 weeks, the results of the participants in each group are observed. What type of study design is this an example of?
- Your Answer
- C. Experiment
- Question Number 7 Points: 5.00/5.00
- Question Text
- You are making a line graph for the following table of hourly temperatures.
- 3:00pm
- 4:00pm
- 5:00pm
- 6:00pm
- 7:00pm
- 73˚
- 78˚
- 81˚
- 84˚
- 73˚
- Which of the following is an ordered pair that you would use to make the graph?
- Your Answer
- B. (3, 73)
- Question Number 8 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the batteries have a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. If a battery manufacturer wants all batteries to perform closer to the mean, which of the following should he do?
- Your Answer
- B. Improve the manufacturing process so the standard deviation is decreased.
- Question Number 9 Points: 5.00/5.00
- Question Text
- To determine if eating a good breakfast improves performance on a standardized test, a study records scores from students who did eat a good breakfast and scores from those who did not. What type of study design is this an example of?
- Your Answer
- B. Observational Study
- Question Number 10 Points: 5.00/5.00
- Question Text
- The pie chart below shows the results of a survey of 120 people.
- Circle chart with 4 sectors: Republican 36 %, Democrat 31 percent, Independent 18 %, and not registered 15 %.
- How many people in the survey are registered as independent of a party? Be sure to round decimal answers to the nearest whole number.
- Your Answer
- B. 22
- Question Number 11 Points: 5.00/5.00
- Question Text
- A survey was conducted at your workplace to gather opinions about proposed health care reforms. A look at the raw data showed these results:
- Agree Disagree No Opinion Disagree
- Disagree Disagree Agree Disagree
- Agree No Opinion Agree Disagree
- Disagree Agree Disagree No Opinion
- Which of the following pie charts most closely represents the results of the survey?
- Your Answer
- C.
- Question Number 12 Points: 5.00/5.00
- Question Text
- Which of the following are valid random samples when picking an item from a cabinet of food?
- Your Answer
- D. {Salt, sugar, oatmeal, canned soup}
- Question Number 13 Points: 0.00/5.00
- Question Text
- Doctors want to determine the best method for losing weight, dieting or exercising. They randomly choose participants to diet or exercise. Identify the type of experiment described.
- Your Answer
- B. Randomized controlled blind experiment
- Question Number 14 Points: 5.00/5.00
- Question Text
- Which of the following values is NOT included in the data set illustrated by this stem-and-leaf plot?
- Click here for a long description of the image above.
- Your Answer
- C. 115
- Question Number 15 Points: 5.00/5.00
- Question Text
- When ordering a pizza, you can choose from 3 crusts, 5 cheeses, 3 meats, and 12 extra toppings. How many different pizzas can be created using only one option from each category?
- Your Answer
- B. 540
- Question Number 16 Points: 5.00/5.00
- Question Text
- Justin is bowling in a tournament. To make it to the second round, he needs to average a score of 140 for 5 games. He bowled scores of 125, 156, 137, and 170 in his first 4 games. What does he need to score in the 5th game to make it to the second round?
- Your Answer
- B. 112
- Question Number 17 Points: 5.00/5.00
- Question Text
- Jacob has a mean score of 78 after his first four math tests. He wants to make a B, or an average of 80, in math. What does he need to score on the fifth test to have a mean score of 80?
- Your Answer
- B. 88
- Question Number 18 Points: 0.00/5.00
- Question Text
- There are 7 quarters, 2 dimes, 5 nickels, and 11 pennies to choose from. What is the sample space?
- Your Answer
- B. 770
- Question Number 19 Points: 5.00/5.00
- Question Text
- Identify the upper extreme on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- D. 10
- Question Number 20 Points: 2.00/2.00
- Question Text
- The mean can be greater than the largest number in a data set.
- Your Answer
- False
- Question Number 21 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?
- Your Answer
- D. Between 28.8 and 34.6 hours
- Question Number 22 Points: 5.00/5.00
- Question Text
- According to the bar graph, how many countries had an increase in population from 1950 to 2000 and can expect to have an increase from 2000 to 2050?
- Click here for a long description of the image above.
- Your Answer
- C. 3
- Question Number 23 Points: 5.00/5.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. One of the high schools in your state was chosen at random and the students at that school were surveyed. What type of sampling is this using?
- Your Answer
- D. Cluster Sampling
- Question Number 24 Points: 5.00/5.00
- Question Text
- What is the definition of a variable?
- Your Answer
- C. Something that can be changed
- Question Number 25 Points: 0.00/5.00
- Question Text
- Doctors want to determine the best medication for Alzheimer's, medication A or medication B. They randomly choose participants to be given one of the unmarked medications. Only the researchers know which participants were given which medication. Identify the type of experiment described.
- Your Answer
- A. Randomized controlled experiment
- Question Number 1 Points: 0.00/5.00
- Question Text
- A researcher wants to determine the best method for teaching college students: traditional campus classes or online classes. The researcher chooses to observe the final exam grades of fifty college students enrolled in both types of courses. What would be the lurking variable in this study?
- Your Answer
- B. The grades on final exams
- Question Number 2 Points: 0.00/5.00
- Question Text
- A survey asks the question, "I don't buy magazines if unless I see an article I would like to read." What question-wording issue is this an example of?
- Your Answer
- A. Unbalanced Response Options
- Question Number 3 Points: 5.00/5.00
- Question Text
- Restaurant patrons are asked to fill out a comment card rating the service they received. This is an example of what type of study design?
- Your Answer
- A. Survey
- Question Number 4 Points: 5.00/5.00
- Question Text
- What is the definition of a variable?
- Your Answer
- C. Something that can be changed
- Question Number 5 Points: 0.00/5.00
- Question Text
- To determine if eating a good breakfast improves performance on a standardized test, a study records scores from students who did eat a good breakfast and scores from those who did not. What type of study design is this an example of?
- Your Answer
- C. Experiment
- Question Number 6 Points: 0.00/5.00
- Question Text
- A survey question is worded as, "Congressmen make at least $100,000 more than the average American. Do you think congressmen make enough money?" What question-wording issue is this an example of?
- Your Answer
- C. Planting Ideas with Questions
- Question Number 7 Points: 0.00/5.00
- Question Text
- What is the dependent variable in an experiment?
- Your Answer
- B. The part of the experiment that is influenced and assigned to the participants
- Question Number 8 Points: 0.00/5.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. One of the high schools in your state was chosen at random and the students at that school were surveyed. What type of sampling is this using?
- Your Answer
- C. Simple Random Sampling
- Question Number 9 Points: 5.00/5.00
- Question Text
- A study of college tuition costs is being conducted. Ten colleges around the United States are selected at random and all of the students enrolled at those schools are selected to participate in the study. What type of sampling is this using?
- Your Answer
- D. Cluster Sampling
- Question Number 10 Points: 0.00/5.00
- Question Text
- What is the control group of an experiment?
- Your Answer
- A. The data recorded about the participants' behavior
- Question Number 1 Points: 0.00/5.00
- Question Text
- A survey asks, "Have you helped someone cheat on their taxes?" How could this question-wording issue be fixed?
- Your Answer
- C. It could be reworded: "I would never help someone cheat on their taxes unless there was a way we would not get caught."
- Question Number 2 Points: 0.00/5.00
- Question Text
- Researchers want to determine the best treatment for high cholesterol: healthy diet, exercise, or medication. Researchers choose 25 patients with high cholesterol to observe. What would be the exploratory variable in this study?
- Your Answer
- C. The participant's weight
- Question Number 3 Points: 0.00/5.00
- Question Text
- A survey asks, "Do you think teenagers are bad drivers? Do you believe teenagers are distracted by the passengers in their car? Would you support a policy increasing the driving age?" What question-wording issue is this an example of?
- Your Answer
- B. Leading Questions
- Question Number 4 Points: 5.00/5.00
- Question Text
- A survey asks the question, "What is your favorite subject in school?" What kind of question is this an example of?
- Your Answer
- A. Open
- Question Number 5 Points: 5.00/5.00
- Question Text
- What is the definition of a variable?
- Your Answer
- C. Something that can be changed
- Question Number 6 Points: 0.00/5.00
- Question Text
- A survey asks, "Do you think teenagers are bad drivers? Do you believe teenagers are distracted by the passengers in their car? Would you support a policy increasing the driving age?" How could this question-wording issue be fixed?
- Your Answer
- C. It could be reworded: "I would not support increasing the driving age unless teenagers were not allowed to drive with passengers."
- Question Number 7 Points: 0.00/5.00
- Question Text
- Researchers want to determine the best treatment for high cholesterol: healthy diet, exercise, or medication. Researchers choose 25 patients with high cholesterol to observe. What would be the lurking variable in this study?
- Your Answer
- B. Whether each participant's cholesterol improved or not improved
- Question Number 8 Points: 0.00/5.00
- Question Text
- A survey asks, "Have you helped someone cheat on their taxes?" What question-wording issue is this an example of?
- Your Answer
- B. Leading Questions
- Question Number 9 Points: 0.00/5.00
- Question Text
- Researchers want to determine the best treatment for high cholesterol: healthy diet, exercise, or medication. Researchers choose 25 patients with high cholesterol to observe. What would be the response variable in this study?
- Your Answer
- A. The method for treating high cholesterol
- Question Number 10 Points: 5.00/5.00
- Question Text
- What is the definition of a response variable?
- Your Answer
- D. The value that they are trying to make a connection to
- Question Number 1 Points: 5.00/5.00
- Question Text
- Find the mean of the data: 14, 9, 2, 13, 16, 3, 13, 10.
- Your Answer
- A. 10
- Question Number 2 Points: 5.00/5.00
- Question Text
- Identify the median of the lower quartile on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- B. -3.5
- Question Number 3 Points: 5.00/5.00
- Question Text
- You want to conduct a survey in your neighborhood on people's opinions about the performance of the U.S. Congress this year. There are 100 households in your neighborhood, but you are only able to visit four of them this evening. Which of the following is not a valid random sample?
- Your Answer
- B. {tasty, bitter, neutral, bitter}
- Question Number 4 Points: 0.00/5.00
- Question Text
- There are 7 quarters, 2 dimes, 5 nickels, and 11 pennies to choose from. What is the sample space?
- Your Answer
- D. 25P25
- Question Number 5 Points: 5.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats: {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with 2 rats?
- Your Answer
- C. 3
- Question Number 6 Points: 0.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with no rats?
- Your Answer
- B. 2
- Question Number 7 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the batteries have a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. If a battery manufacturer wants all batteries to perform closer to the mean, which of the following should he do?
- Your Answer
- B. Improve the manufacturing process so the standard deviation is decreased.
- Question Number 8 Points: 0.00/5.00
- Question Text
- Which of the following are valid random samples when picking an item from a cabinet of food?
- Your Answer
- C. {Salt, hammer, oatmeal, canned soup}
- Question Number 9 Points: 0.00/5.00
- Question Text
- When ordering a pizza, you can choose from 3 crusts, 5 cheeses, 3 meats, and 12 extra toppings. How many different pizzas can be created using only one option from each category?
- Your Answer
- D. 23P23
- Question Number 10 Points: 5.00/5.00
- Question Text
- Find the mean of the data: 7, 3, 10, 8, 4, 1, 8, 6, 5, 8.
- Your Answer
- A. 6
- Question Number 11 Points: 5.00/5.00
- Question Text
- Identify the median of the upper quartile on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- C. 9.5
- Question Number 12 Points: 0.00/5.00
- Question Text
- Jessica has taken 6 English tests and scored: 87, 92, 85, 85, 89, and 98. What does she need to make on her next test to have an A, or an average of 90, in the class?
- Your Answer
- D. 100
- Question Number 13 Points: 5.00/5.00
- Question Text
- Find the mean of the data: 206, 194, 198, 172, 190.
- Your Answer
- A. 192
- Question Number 14 Points: 5.00/5.00
- Question Text
- Find the mean of the data: 37, 46, 32, 40, 33, 40, 36, 30.
- Your Answer
- C. 36.75
- Question Number 15 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?
- Your Answer
- D. Between 28.8 and 34.6 hours
- Question Number 16 Points: 5.00/5.00
- Question Text
- Find the range of the data set: 62, 80, 94, 14, 8, 56
- Your Answer
- C. 86
- Question Number 17 Points: 5.00/5.00
- Question Text
- Find the range of the data: 206, 194, 198, 172, 190.
- Your Answer
- D. 34
- Question Number 18 Points: 5.00/5.00
- Question Text
- Find the range of the data: 72, 74, 70, 77, 76, 72
- Your Answer
- C. 7
- Question Number 1 Points: 5.00/5.00
- Question Text
- Identify the range of the data illustrated on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- C. 6
- Question Number 2 Points: 0.00/5.00
- Question Text
- The test scores for 9 students on the Unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the third quartile for this data set?
- Your Answer
- B. 90
- Question Number 3 Points: 5.00/5.00
- Question Text
- Identify the median on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- C. -2
- Question Number 4 Points: 5.00/5.00
- Question Text
- Identify the upper extreme on the box-and-whisker plot.
- Click here for a long description of the image above.
- Your Answer
- C. 1
- Question Number 5 Points: 0.00/5.00
- Question Text
- The test scores for 9 students on the Unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the second quartile for this data set?
- Your Answer
- C. 80
- Question Number 1 Points: 5.00/5.00
- Question Text
- Suppose a coin is flipped four times. Which of the following is a valid random sample?
- Your Answer
- D. Three tails and a head
- Question Number 2 Points: 0.00/5.00
- Question Text
- Which of the following are valid random samples when picking an item from a cabinet of food?
- Your Answer
- A. {Salt, sugar, corn flakes, canned soup, tennis racket}
- Question Number 3 Points: 0.00/5.00
- Question Text
- Jessica weighed herself every day. The following graph shows her weight distribution over a number of days. How many days in total did she weigh 138 or less?
- Question Number 1 Points: 5.00/5.00
- Question Text
- Find the range of the data set: 18, 51, 23, 9, 62, 23, 24
- Your Answer
- C. 53
- Question Number 2 Points: 5.00/5.00
- Question Text
- A spark plug is guaranteed to last 50,000 miles, with a standard deviation of 1,500 miles. If this spark plug becomes defective at 49,000 miles, is it still under warranty?
- Your Answer
- A. Yes
- Question Number 3 Points: 5.00/5.00
- Question Text
- A brand of light bulb is rated to last 2,250 hours, with a standard deviation of 300 hours. Suppose a particular light bulb of this brand burned out at 1,970 hours. Which of the following is the correct way to describe the performance of this bulb?
- Your Answer
- B. It performed as expected.
- Question Number 4 Points: 0.00/5.00
- Question Text
- A courier company claims in its advertisement that it can get all packages from city A to city B in exactly 12 hours; no more, no less. Which of the following does NOT represent the company's claim?
- Your Answer
- A. The range of delivery times is zero
- Question Number 5 Points: 5.00/5.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the batteries have a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. If a battery manufacturer wants all batteries to perform closer to the mean, which of the following should he do?
- Your Answer
- B. Improve the manufacturing process so the standard deviation is decreased.
- Question Number 6 Points: 5.00/5.00
- Question Text
- Find the range of the data set: 10, 18, 21, 28, 12, 20
- Your Answer
- C. 18
- Question Number 7 Points: 5.00/5.00
- Question Text
- Find the range of the data set: 3, 17, 19, 30, 22, 13
- Your Answer
- C. 27
- Question Number 8 Points: 0.00/5.00
- Question Text
- Deaths due to malaria in a certain African country were estimated to be 811 in 2008, with a standard deviation of 44. If you want to see if the conditions have improved in 2011, which of the following would you looking for in the 2011 report?
- Your Answer
- C. A decrease in the range
- Question Number 9 Points: 5.00/5.00
- Question Text
- Find the range of the data set: -15, 11, 12, -10, 12, -4
- Your Answer
- D. 27
- Question Number 10 Points: 5.00/5.00
- Question Text
- Find the range of the data set: 1, 20, 13, 33, 24, 22
- Your Answer
- B. 32
- Your Answer
- D. 21
- Question Number 4 Points: 0.00/5.00
- Question Text
- There are an estimated 12,000 houses in a certain city. The city wanted to find out what percentage of houses have more than 1 floor. It did a survey of 400 households and found that 160 of them have more than 1 floor. What is the population size of this study?
- Your Answer
- C. 400
- Question Number 5 Points: 5.00/5.00
- Question Text
- There are 75 people entering a drawing. Determine the sample space for 5 people being chosen at random as prize winners.
- Your Answer
- C. 75C5
- Question Number 6 Points: 0.00/5.00
- Question Text
- There are 250 students in the junior class. 50 of them will be selected at random to participate in a survey. Determine the sample space for the students being chosen.
- Your Answer
- A. 250P50
- Question Number 7 Points: 0.00/5.00
- Question Text
- Jessica weighed herself every day. The following graph shows her weight distribution over a number of days. How many days in total did she weigh herself?
- Your Answer
- B. 9
- Question Number 8 Points: 5.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the relative frequency of units with 3 rats?
- Your Answer
- D. 0.22
- Question Number 9 Points: 5.00/5.00
- Question Text
- You want to conduct a survey in your neighborhood on people's opinions about the performance of the U.S. Congress this year. There are 100 households in your neighborhood, but you are only able to visit four of them this evening. Which of the following is not a valid random sample?
- Your Answer
- B. {tasty, bitter, neutral, bitter}
- Question Number 10 Points: 0.00/5.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. If the sample data is representative of the rat population, how many units in the entire apartment complex have 3 rats?
- Your Answer
- C. 17
- Question Number 11 Points: 0.00/5.00
- Question Text
- There are 9 blue marbles, 4 green marbles, 6 white marbles, 1 red marble, and 8 yellow marbles to choose from. What is the sample space?
- Your Answer
- B. 28C28
- Question Number 12 Points: 0.00/5.00
- Question Text
- There are 25 players on a lacrosse team. Determine the sample space for choosing players for the 10 starting positions.
- Your Answer
- B. 25C10
- Question Number 1 Points: 1.00/1.00
- Question Text
- In deciding whether to pay for a high or low deductible auto insurance policy, which of the following is NOT a factor in the decision process?
- Your Answer
- B.
- Which policy most of the client's friends bought
- Question Number 2 Points: 0.00/1.00
- Question Text
- Determine the probability of drawing a 1 from a regular deck of cards.
- Your Answer
- A. 1/13
- Question Number 3 Points: 1.00/1.00
- Question Text
- What is the total area to the right of the mean under a normal distribution curve?
- Your Answer
- C. 0.5
- Question Number 4 Points: 0.00/1.00
- Question Text
- The formula associated with a binomial model is .
- Click here for a long description of the image above.
- What does the "x" in the formula represent?
- Your Answer
- B. number of trials
- Question Number 5 Points: 1.00/1.00
- Question Text
- What is the approximate conditional probability of someone being female, given a preference for two-lane highways with traffic lights?
- Your Answer
- C. 0.46
- Question Number 6 Points: 0.00/1.00
- Question Text
- Which of the following graphs is a valid probability distribution of a random variable over a week?
- Your Answer
- D.
- Question Number 7 Points: 1.00/1.00
- Question Text
- A researcher wants to conduct a genetic study using 15 randomly-selected volunteers. He has a volunteer pool of 30, composed of 15 males and 15 females. What is the probability that the randomly-selected group will be all male OR all female?
- Your Answer
- B. 1/77,558,760
- Question Number 8 Points: 0.00/1.00
- Question Text
- What is the quadratic regression equation for the points (4, 75), (6, 14), (7, 22), and (9, 120)?
- Your Answer
- C. y = 25.96x^2 - 125.43x + 682.73
- Question Number 9 Points: 0.00/1.00
- Question Text
- Let the random variable A represent the outcome of a dice roll. Which of the following bar graphs correctly represent the probability distribution of A?
- Your Answer
- B.
- Question Number 10 Points: 1.00/1.00
- Question Text
- Describe the following scatterplot.
- Your Answer
- B. negative correlation
- Question Number 11 Points: 1.00/1.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula P(x) = {n! / [x! (n-x)!]} * p^x * q^(n-x) to determine the probability of how many games they will win. How many of the next 15 games should you expect the Rangers to win?
- Your Answer
- D. 8
- Question Number 12 Points: 1.00/1.00
- Question Text
- Scott plays video games every day after school. It seems like the more he plays, the better his scores get. (Practice makes perfect, right?) The scatter plot below compares Scott’s high scores to the amount of time he’s played. What is the slope of the line of best fit?
- Your Answer
- C. 1/4
- Question Number 13 Points: 0.00/1.00
- Question Text
- To win a lottery, a person must pick five numbers from 1 to 50 in any order AND a MEGA number from 1 to 30 on the play slip. Determine the probability for winning the jackpot.
- Your Answer
- B. 1/7,627,536,000
- Question Number 14 Points: 0.00/1.00
- Question Text
- There are 9 music students, 2 music professors, and 5 computer science students sitting in a waiting room. If a professor leaves the room, what is the conditional probability that the person is a musician?
- Your Answer
- C. 9/14
- Question Number 15 Points: 0.00/1.00
- Question Text
- The parents of a child who participates in full-contact sports are trying to decide if they should purchase a sports insurance policy for their child. Which of the following is NOT a factor in their decision process?
- Your Answer
- C.
- Historical frequency of injuries of their child
- Question Number 16 Points: 1.00/1.00
- Question Text
- MacArthur High School created a scatter plot to illustrate the number of graduates it has produced over the past several years. Which of the following scatter plots has the most appropriate line of best fit?
- Your Answer
- D.
- Question Number 17 Points: 0.00/1.00
- Question Text
- You purchase a lottery ticket for $2 from a grocery store. There are a total of 100,000 tickets in circulation. The grand prize is $10,000. What are your expected winnings?
- Your Answer
- B. $1.00
- Question Number 18 Points: 0.00/1.00
- Question Text
- You conduct an experiment where you roll a die and record the results. You roll the die 1230 times and the results are shown in the table below:
- Result
- Frequency
- 1
- 245
- 2
- 172
- 3
- 219
- 4
- 201
- 5
- 137
- 6
- 256
- In which result was the experimental probability the closest to the theoretical probability?
- Your Answer
- D. Roll of 6
- Question Number 19 Points: 0.00/1.00
- Question Text
- What is the significance of a correlation coefficient of 0.16?
- Your Answer
- C. The points do not follow the line of fit and the line is decreasing.
- Question Number 20 Points: 0.00/1.00
- Question Text
- You are doing an experiment for the Science Fair. You set up a booth at lunch that has a spinner with three equal parts (red, green, blue). You determine the probabilities of landing on each color and then have anyone who is interested spin the spinner and you record the results. After 500 spins, you are surprised to find that 82% of the spins that start in the green sector end up in the blue sector. Based on your research you begin to predict the outcomes. When your fellow students begin gambling on the outcomes, the principal shuts down your booth and you receive 3 days of in-school suspension.
- Which part of this story involves theoretical probability?
- Your Answer
- B. After 500 spins, you are surprised to find that 82% of the spins that start in the green sector end up in the blue sector.
- Question Number 21 Points: 1.00/1.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 0.4 cubic feet smaller. What is the standard deviation in the actual size of the freezers purchased by all customers?
- Your Answer
- B. 2.0
- Question Number 22 Points: 1.00/1.00
- Question Text
- Which linear equation would be the best fit for the following scatter plot?
- Your Answer
- D. y = (4/5)x - 8
- Question Number 23 Points: 1.00/1.00
- Question Text
- Jackson earns commission according to how much he sells. Since he is a fast learner, he is becoming a better and better salesman by the month. The scatter plot below shows how much commission Jackson has earned over the past twelve months. Approximately how much do you predict Jackson will make in commission during the month of December?
- Your Answer
- C. $3,400
- Question Number 24 Points: 1.00/1.00
- Question Text
- What is the total area under a normal distribution curve?
- Your Answer
- D. 1
- Question Number 25 Points: 0.00/1.00
- Question Text
- What is the value of c in the quadratic regression equation for these points: (-3, 1.2), (1, 0.4), (5, 1.6), (11, 2.6)?
- Your Answer
- C. 0.83
- Question Number 26 Points: 0.00/1.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a negative correlation?
- Your Answer
- A. The weight of a package and the cost to mail the package.
- Question Number 27 Points: 0.00/1.00
- Question Text
- Question
- Lemon = 15, orange = 15, cola = 10, and grape = 10
- There are 50 cans of soda in a cooler. The table shows the
- number of each kind of soda. Two cans of soda are taken from
- the cooler at random. What is the probability that both cans are
- Lemon?
- Your Answer
- B. 9 100
- Question Number 28 Points: 0.00/1.00
- Question Text
- Allen collects rare coins. He has prepared this scatterplot to
- compare the number of each type of coin that was produced
- with the value of the coin to collectors. What conclusion can you
- draw from this scatterplot?
- Your Answer
- B. The more valuable the coin, the more coins there are.
- Question Number 29 Points: 1.00/1.00
- Question Text
- Let X represent the outcome of a single roll of a fair die. Suppose you win $1 if the outcome is either 2 or 5, and lose no money if the outcome is otherwise. "What can you expect to win after tossing the die 20 times?"
- Your Answer
- C. $6.67
- Question Number 30 Points: 0.00/1.00
- Question Text
- Find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162).
- Your Answer
- A. y = 8.43(1.69)^x
- Question Number 31 Points: 1.00/1.00
- Question Text
- A sample set contains the following data: {2.5, 4.1, 6, 8, 9, 9, 9.5, 10}. Approximately where is the mean value located?
- Your Answer
- B.
- Closer to 10 than 2.5
- Question Number 32 Points: 1.00/1.00
- Question Text
- A biologist is researching a newly-discovered species of bacteria. He puts 200 bacteria into what he has determined to be a favorable growth medium. Nine hours later, he measures 380 bacteria. Assuming exponential growth, find the growth equation and use it to determine the number of bacteria after eight hours.
- Your Answer
- B. 354
- Question Number 33 Points: 0.00/1.00
- Question Text
- A sample set contains the following data: {2.5, 4.1, 6, 8, 9, 9, 9.5, 10}. What is the shape of its probability distribution curve?
- Your Answer
- B.
- Positively skewed
- Question Number 34 Points: 1.00/1.00
- Question Text
- A appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3 Now suppose the sizes are measured inaccurately by the manufacturer, so that each model should be 0.4 cubic feet smaller. What is the mean actual size of the freezers purchased by all customers?
- Your Answer
- B. 16.0
- Question Number 35 Points: 0.00/1.00
- Question Text
- Find the exponential regression equation for the data points (-3, 8), (0, 5), (2, 4), and (5, 3).
- Your Answer
- D. y = 5.53(1.08)^x
- Question Number 36 Points: 0.00/1.00
- Question Text
- About 5% of a certain type of wall nails made by a hardware supplier exceeds the requirement of being able to support 500 pounds of weight. The supplier decides to remove these nails and sell them as premium wall nails. What will happen to the standard deviation of the weight the regular nails can support?
- Your Answer
- A.
- It will increase.
- Question Number 37 Points: 1.00/1.00
- Question Text
- When playing a game, the winner must roll a number less than 3 or more than 4. What type of events are these?
- Your Answer
- C. Mutually exclusive
- Question Number 38 Points: 1.00/1.00
- Question Text
- What is the quadratic regression equation for the points (-3, 1.2), (1, 0.4), (5, 1.6), (11, 2.6)?
- Your Answer
- B. y = 0.016x^2 - 0.01x + 0.86
- Question Number 39 Points: 0.00/1.00
- Question Text
- What is the value of b in the quadratic regression equation for these points: (2, 5), (4, 11), (5, 41), and (9, -2)?
- Your Answer
- C. 15.62
- Question Number 40 Points: 0.00/1.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 56.8 grams of radioactive substance. 12 days later, there are 55.45 grams. After 25 days, there are 54.03 grams. After 41 days, there are 52.32 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days and use the equation to determine the amount of radioactive material remaining after 500 days.
- Your Answer
- B. 2.25 g
- Question Number 41 Points: 0.00/1.00
- Question Text
- What does it mean if a is negative in the quadratic regression equation?
- Your Answer
- D. The vertex of the parabola is to the left of the y-axis.
- Question Number 42 Points: 0.00/1.00
- Question Text
- Which type of question fits a binomial model?
- Your Answer
- C. multiple choice
- Question Number 43 Points: 0.00/1.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula
- Click here for a long description of the image above.
- to determine the probability that they will win 4 of their next 5 games. What value will be substituted for "q" in the formula?
- Your Answer
- C. 35
- Question Number 44 Points: 0.00/1.00
- Question Text
- Suppose a randomly-picked number is 11. Where is this number located in the Venn diagram below?
- Your Answer
- A. Inside the circle on the left, excluding the intersection
- Question Number 45 Points: 0.00/1.00
- Question Text
- Which of the following does the entire area enclosed by the two ovals (including the intersection) in the Venn diagram below represent?
- Your Answer
- C. An event that is both A and B
- Question Number 46 Points: 0.00/1.00
- Question Text
- There are 20 players on a hockey team. 5 of them are rookies. Determine the probability that none of the rookies will be randomly selected to be included in the team's group of 6 starters.
- Your Answer
- C. 1 38,760
- Question Number 47 Points: 1.00/1.00
- Question Text
- Which of the following does the entire area outside the two ovals in the Venn diagram below represent?
- Your Answer
- A. An event that is neither A nor B
- Question Number 48 Points: 1.00/1.00
- Question Text
- The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 40,000 miles.
- Your Answer
- A. 50%
- Question Number 49 Points: 1.00/1.00
- Question Text
- Determine the probability of drawing an ace from a regular deck of cards.
- Your Answer
- A. 1/13
- Question Number 50 Points: 0.00/1.00
- Question Text
- A manufacturer makes ceramic heaters that have a life expectancy of 10 years. Two percent of the heaters are defective because they break down after the first month. If the manufacturing process is improved so that the number of defective units drops to 1%, how will the standard deviation of the heaters change?
- Your Answer
- B.
- It will not change at all.
- Question Number 51 Points: 0.00/1.00
- Question Text
- Which of these pairs of variables would you expect to be
- represented by a scatterplot with a positive correlation?
- Your Answer
- B. The number of miles driven and the number of people on the
- bus.
- Question Number 52 Points: 1.00/1.00
- Question Text
- What percentage of people who prefer to drive on multi-lane highways with traffic lights are male?
- Your Answer
- C. 56%
- Question Number 53 Points: 1.00/1.00
- Question Text
- An appliance dealer sells three different models of freezers having 13.5, 15.9, and 19.1 cubic feet of storage space respectively. Suppose the probabilities of a customer purchase for the models are as follows:
- x 13.5 15.9 19.1
- P(x) 0.2 0.5 0.3
- What is the mean size of the freezers purchased by all customers?
- Your Answer
- C. 16.38
- Question Number 54 Points: 1.00/1.00
- Question Text
- Question
- Marco is taking a multiple-choice test. There are 5 choices for each question. Marco does not know how to answer one of the questions. If he guesses, what is the probability that he will guess the correct answer?
- Your Answer
- B. 0.20
- Question Number 55 Points: 0.00/1.00
- Question Text
- A bag contains 5 blue and 3 green marbles. Marbles are drawn at random without replacement. Which of the following gives the probability of drawing a green marble on both your first and second draw?
- Your Answer
- D. (5/8)(3/7)
- Question Number 56 Points: 1.00/1.00
- Question Text
- A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 6.2 grams of radioactive substance. 12 days later, there are 6.16 grams. After 19 days, there are 6.13 grams. After 46 days, there are 5.92 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days.
- Your Answer
- C. y = 6.23(0.999)x
- Question Number 57 Points: 0.00/1.00
- Question Text
- After 75 games of the 2009 baseball season, the Texas Rangers had a record of 40 wins and 35 losses for a winning percentage of .533. You realize that this data fits a binomial model and want to use the formula P(x) = {n! / [x! (n-x)!]} * p^x * q^(n-x) to determine the probability of how many games they will win. What is the expected number of games the Rangers will win in the next 5 games?
- Your Answer
- C. 2.33
- Question Number 58 Points: 0.00/1.00
- Question Text
- There are 15 players on a football team. 3 are related to each other. Determine the probability of choosing none of the relatives to be one of the 11 starters in the game.
- Your Answer
- B. 1 1,365
- Question Number 59 Points: 0.00/1.00
- Question Text
- This scatterplot compares the amount of money earned at the
- fundraiser with the number of raffle tickets sold. What
- conclusion can you draw from this scatterplot?
- Your Answer
- B. The amount of money raised increases as the number of tickets
- sold decreases.
- Question Number 60 Points: 1.00/1.00
- Question Text
- The following two sets of measurements are for the weight of the same object in grams:
- {2.0, 1.9, 2.1, 1.8, 2.0} {1.9, 1.8, 2.0, 2.1, 2.0} Which of these two sets of measurements is more reliable?
- Your Answer
- C.
- Both sets are equally reliable.
- Question Number 1 Points: 0.00/1.00
- Question Text
- A researcher wants to determine the best method for teaching college students: traditional campus classes or online classes. The researcher chooses to observe the final exam grades of fifty college students enrolled in both types of courses. What would be the response variable in this study?
- Your Answer
- C. The participant's learning style
- Question Number 2 Points: 1.00/1.00
- Question Text
- What is the mean of the following data set?
- {15, 93, 72, 32, 64}
- Your Answer
- B. 55.2
- Question Number 3 Points: 1.00/1.00
- Question Text
- You are making a line graph for the price of gasoline on the first day of the last five months. The data is shown in the following table:
- January 1
- February 1
- March 1
- April 1
- May 1
- $2.05
- $2.12
- $2.53
- $2.10
- $2.45
- Which of the following is not an ordered pair you would use to make the graph?
- Your Answer
- A. (0, $2.05)
- Question Number 4 Points: 1.00/1.00
- Question Text
- You collected the following data about the color of dresses at the prom:
- Red
- Black
- Blue
- White
- Other
- 14
- 37
- 22
- 56
- 33
- When making a pie chart for this data, what percentage of the circle would the sector labeled "Black" take up? Round your answer to the nearest whole percent.
- Your Answer
- B. 23%
- Question Number 5 Points: 1.00/1.00
- Question Text
- Find the range of the data set: 4, 16, 23, 32, 11, 12
- Your Answer
- B. 28
- Question Number 6 Points: 0.00/1.00
- Question Text
- When ordering a pizza, you can choose from 3 crusts, 5 cheeses, 3 meats, and 12 extra toppings. How many different pizzas can be created using only one option from each category?
- Your Answer
- N/A
- Question Number 7 Points: 1.00/1.00
- Question Text
- What is the mean of the following data set?
- {72, 67, 42, 95, 83, 70, 55, 93, 77}
- Your Answer
- A. 72.67
- Question Number 8 Points: 1.00/1.00
- Question Text
- According to the bar graph, how many countries will have a population in excess of 40 million in 2050?
- Click here for a long description of the image above.
- Your Answer
- C. 3
- Question Number 9 Points: 1.00/1.00
- Question Text
- To determine the effectiveness of a classroom management program, teachers watch and record changes in student behavior that occur in response to this methodology. What type of study design is this?
- Your Answer
- B. Observational Study
- Question Number 10 Points: 1.00/1.00
- Question Text
- The following graph shows wins per season for the Texas Rangers for the years 2000 - 2008.
- Click here for a long description of the image above.
- In which year did the Rangers' wins increase from the previous year?
- Your Answer
- D. 2006
- Question Number 11 Points: 1.00/1.00
- Question Text
- Question
- Find the median of the given set of data. Shoe sizes of a class of twenty students.
- 6, 9, 10, 8.5, 9.5, 11, 13, 10, 7, 9, 7.5, 10, 9, 14, 12, 10, 7, 9, 10, 11
- Your Answer
- C. 9.75
- Question Number 12 Points: 0.00/1.00
- Question Text
- A researcher wants to determine the best method for teaching college students: traditional campus classes or online classes. The researcher chooses to observe the final exam grades of fifty college students enrolled in both types of courses. What would be the exploratory variable in this study?
- Your Answer
- N/A
- Question Number 13 Points: 0.00/1.00
- Question Text
- You have 3 pairs of pants, 7 shirts, and 5 hats to make an outfit with. How many different outfits can be created?
- Your Answer
- N/A
- Question Number 14 Points: 0.00/1.00
- Question Text
- A survey question is worded as, "Congressmen make at least $100,000 more than the average American. Do you think congressmen make enough money?" What question-wording issue is this an example of?
- Your Answer
- N/A
- Question Number 15 Points: 1.00/1.00
- Question Text
- The following graph shows wins per season for the Texas Rangers for the years 2000 - 2008.
- Click here for a long description of the image above.
- In what year did the Rangers win total decrease for the second consecutive year?
- Your Answer
- C. 2003
- Question Number 16 Points: 0.00/1.00
- Question Text
- A student survey is issued to determine how helpful a study guide was, asking students to choose one of the following: 1) extremely helpful 2) very helpful 3) helpful 4) not helpful. What question-wording issue is this an example of?
- Your Answer
- N/A
- Question Number 17 Points: 1.00/1.00
- Question Text
- A student survey asks how helpful a study guide was by choosing one from the following: 1) extremely helpful 2) very helpful 3) helpful 4) not helpful. Is this an example of open or closed questioning?
- Your Answer
- B. Closed
- Question Number 18 Points: 1.00/1.00
- Question Text
- Which of the following values is included in the data set illustrated by this stem-and-leaf plot?
- Click here for a long description of the image above.
- Your Answer
- C. 44
- Question Number 19 Points: 0.00/1.00
- Question Text
- You wish to plot the data value 556 in a stem-and-leaf plot. What is the stem of 556?
- Your Answer
- A. 5
- Question Number 20 Points: 1.00/1.00
- Question Text
- If you needed to plot the data shown in the stem-and-leaf plot below using a different graph type, what would be the best choice?
- Click here for a long description of the image above.
- Your Answer
- A. Bar graph or pictogram; there are only a few data values, and a bar graph or pictogram will make a more impressive display.
- Question Number 21 Points: 0.00/1.00
- Question Text
- You want to conduct a survey in your neighborhood on people's opinions about the performance of the U.S. Congress this year. There are 100 households in your neighborhood, but you are only able to visit four of them this evening. Which of the following is not a valid random sample?
- Your Answer
- N/A
- Question Number 22 Points: 0.00/1.00
- Question Text
- Your friend has a quarter (Q), a dime (D) and a nickel (N). He keeps each coin hidden under a small styrofoam cup so you do not know the location of the coin. You randomly pick two coins out of the three by lifting two cups. Which of the following is a valid sample space?
- Your Answer
- N/A
- Question Number 23 Points: 1.00/1.00
- Question Text
- What is the definition of a lurking variable?
- Your Answer
- B. Something that may affect the results of a study that has not been included in the design
- Question Number 24 Points: 1.00/1.00
- Question Text
- According to the bar graph, how many countries can expect to lose population from 2000 to 2050?
- Click here for a long description of the image above.
- Your Answer
- B. 2
- Question Number 25 Points: 0.00/1.00
- Question Text
- You wish to plot the data value 168 in a stem-and-leaf plot. What is the stem of 168?
- Your Answer
- A. 1
- Question Number 26 Points: 0.00/1.00
- Question Text
- There are an estimated 12,000 houses in a certain city. The city wanted to find out what percentage of houses have more than 1 floor. It did a survey of 400 households and found that 160 of them have more than 1 floor. Based on these results, how many houses in the city can be inferred to have more than 1 floor?
- Your Answer
- N/A
- Question Number 27 Points: 1.00/1.00
- Question Text
- Which of the following data sets is illustrated by this stem-and-leaf plot?
- Click here for a long description of the image above.
- Your Answer
- B. 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123
- Question Number 28 Points: 0.00/1.00
- Question Text
- A student survey is issued to determine how helpful a study guide was, asking students to choose one of the following: 1) extremely helpful 2) very helpful 3) helpful 4) not helpful. How could this question-wording issue be fixed?
- Your Answer
- N/A
- Question Number 29 Points: 1.00/1.00
- Question Text
- According to the bar graph, which country has the largest population size in 2050?
- Click here for a long description of the image above.
- Your Answer
- C. Egypt
- Question Number 30 Points: 0.00/1.00
- Question Text
- Doctors want to determine the best medication for Alzheimer's, medication A or medication B. They randomly choose participants to be given one of the unmarked medications. Neither the participants nor the researchers are aware of which medication was given to which of the participants. Identify the type of experiment described.
- Your Answer
- N/A
- Question Number 31 Points: 1.00/1.00
- Question Text
- 100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?
- Your Answer
- D. Between 28.8 and 34.6 hours
- Question Number 32 Points: 0.00/1.00
- Question Text
- A study of college tuition costs is being conducted. The names of 15 students currently enrolled have been selected from each college. What type of sampling is this using?
- Your Answer
- N/A
- Question Number 33 Points: 0.00/1.00
- Question Text
- The city transit bus is supposed to arrive at a bus stop at 15 minutes past the hour every hour. The arrival time has a standard deviation of 4 minutes. If the bus company wants the arrival time to be more consistent, which of the following should be done?
- Your Answer
- A. Increase the standard deviation of the arrival time
- Question Number 34 Points: 1.00/1.00
- Question Text
- Which bar chart accurately reflects the data in the table below?
- Miles Driven
- Bill
- Sue
- Mary
- Cristina
- Year 1
- 500
- 875
- 1000
- 650
- Year 2
- 700
- 950
- 1200
- 500
- Your Answer
- B.
- Question Number 35 Points: 0.00/1.00
- Question Text
- There are 7 quarters, 2 dimes, 5 nickels, and 11 pennies to choose from. What is the sample space?
- Your Answer
- C. 25C25
- Question Number 36 Points: 1.00/1.00
- Question Text
- The pie chart below shows the results of a survey of 120 people.
- Circle chart with 4 sectors: Republican 36 %, Democrat 31 percent, Independent 18 %, and not registered 15 %.
- How many people in the survey are registered as Republicans? Be sure to round decimal answers to the nearest whole number.
- Your Answer
- D. 43
- Question Number 37 Points: 0.00/1.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. You survey only the students in your math class at your high school. What type of sampling is this using?
- Your Answer
- B. Self-Selected Sampling
- Question Number 38 Points: 0.00/1.00
- Question Text
- There are 15 players on a hockey team. Determine the sample space for choosing players for the 6 starting positions.
- Your Answer
- C. 15C6
- Question Number 39 Points: 1.00/1.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats: {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with 2 rats?
- Your Answer
- C. 3
- Question Number 40 Points: 1.00/1.00
- Question Text
- The pie chart below shows the results of a survey of 120 people.
- Circle chart with 4 sectors: Republican 36 %, Democrat 31 percent, Independent 18 %, and not registered 15 %.
- How many people in the survey are not registered to vote? Be sure to round decimal answers to the nearest whole number.
- Your Answer
- B. 18
- Question Number 41 Points: 0.00/1.00
- Question Text
- A study of college tuition costs is being conducted. The college students surveyed all attend the same college as the person performing the study. What type of sampling is this using?
- Your Answer
- D. Cluster Sampling
- Question Number 42 Points: 1.00/1.00
- Question Text
- Pie chart of sporting goods sales with six sectors: shoes 52 %, socks 9 %, shirts 11 %, shorts 17 %, headbands 5 %, and jogging suits 6 %.
- According to the circle graph, what percent of sales came from items other than shoes and socks?
- Your Answer
- B. 39%
- Question Number 43 Points: 0.00/1.00
- Question Text
- Suppose that you would like to study the occurrence of obesity in high schools in your state. Twenty students are selected at random from each high school in the state to be surveyed. What type of sampling is this using?
- Your Answer
- A. Opportunity Sampling
- Question Number 44 Points: 0.00/1.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the relative frequency of units with no rats?
- Your Answer
- C. 0.16
- Question Number 45 Points: 0.00/1.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. If the sample data is representative of the rat population, how many units in the entire apartment complex have no rats?
- Your Answer
- D. 33
- Question Number 46 Points: 1.00/1.00
- Question Text
- A group of students are asked questions to determine what learning strategy they utilize. What type of study design is this an example of?
- Your Answer
- A. Survey
- Question Number 47 Points: 0.00/1.00
- Question Text
- What is the definition of an explanatory variable?
- Your Answer
- C. Something that can be changed
- Question Number 48 Points: 0.00/1.00
- Question Text
- A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of rats {2, 5, 3, 1, 0, 3, 7, 2, 2}. What is the frequency of units with no rats?
- Your Answer
- C. 3
- Question Number 49 Points: 1.00/1.00
- Question Text
- To determine the effectiveness of an exercise plan on weight-loss, participants are divided into two groups. One group is given an exercise plan and the second group is responsible for creating their own exercise plan. After 8 weeks, the results of the participants in each group are observed. What type of study design is this an example of?
- Your Answer
- C. Experiment
- Question Number 50 Points: 0.00/1.00
- Question Text
- A candle company sets up a booth and has participants choose scent A or scent B. What type of study design is this an example of?
- Your Answer
- B. Observational Study
- Question Number 51 Points: 1.00/1.00
- Question Text
- Pie charts are especially useful for representing which type of data?
- Your Answer
- C. Parts of a whole
- Question Number 52 Points: 0.00/1.00
- Question Text
- Doctors want to determine the best medication for Alzheimer's, medication A or medication B. They randomly choose participants to be given one of the unmarked medications. Only the researchers know which participants were given which medication. Identify the type of experiment described.
- Your Answer
- C. Randomized controlled double-blind experiment
- Question Number 53 Points: 1.00/1.00
- Question Text
- What are the subjects of an experiment?
- Your Answer
- C. The participants in the study
- Question Number 54 Points: 1.00/1.00
- Question Text
- Find the mode of the data: 72, 74, 70, 77, 76, 72.
- Your Answer
- A. 72
- Question Number 55 Points: 0.00/1.00
- Question Text
- The city transit bus is supposed to arrive at a bus stop at 15 minutes past the hour every hour. If the arrival time has a standard deviation of 4 minutes, when should you expect the bus to arrive?
- Your Answer
- B. Between 4 and 15 minutes past the hour
- Question Number 56 Points: 1.00/1.00
- Question Text
- What is the independent variable in an experiment?
- Your Answer
- B. The part of the experiment that is influenced and assigned to the participants.
- Question Number 57 Points: 0.00/1.00
- Question Text
- What kind of graph is being used here to present population growth?
- Click here for a long description of the image above.
- Your Answer
- D. All of these
- Question Number 58 Points: 0.00/1.00
- Question Text
- There are an estimated 12,000 houses in a certain city. The city wanted to find out what percentage of houses have more than 1 floor. It did a survey of 400 households and found that 160 of the houses have more than 1 floor. What is the sample size of this study?
- Your Answer
- D. 12,000
- Question Number 59 Points: 0.00/1.00
- Question Text
- When there is a decrease from one data point to the next in a line graph, what type of slope does the line that connects them have?
- Your Answer
- C. Undefined
- Question Number 60 Points: 1.00/1.00
- Question Text
- The pie chart below shows the results of a survey of 120 people.
- Circle chart with 4 sectors: Republican 36 %, Democrat 31 percent, Independent 18 %, and not registered 15 %.
- How many people in the survey are registered as Democrats? Be sure to round decimal answers to the nearest whole number.
- Your Answer
- C. 37
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