Micah Green Stat Crunch Assignment:
Paired T hypothesis test:
μD = μ1 - μ2 : Mean of the difference between Before and After
H0 : μD = 0
HA : μD > 0
Hypothesis test results:
Difference	Mean	Std. Err.	DF	T-Stat	P-value
Before - After	11	3.0043619	6	3.6613432	0.0053

μ1 =   Mean blood pressure – Before
μ2 =    Mean blood pressure -After
μD = μ1- μ2
H0 : μD = 0
HA : μD > 0

D.R If p-value  < α = 0.05, reject H0
T-stat=3.66
P-value= 0.0053
Since p=value = 0.0056 < α = 0.05, reject H0
At 0.05 significance level, there is sufficient evidence to conclude that the training produces a reduction in mean blood pressure for participants.
Paired T confidence interval:
μD = μ1 - μ2 : Mean of the difference between Before and After
95% confidence interval results:
Difference	Mean	Std. Err.	DF	L. Limit	U. Limit
Before - After	11	3.0043619	6	3.6485915	18.351408

95% C.I. for μD = μ1- μ2
(3.65, 18.35)
With 95% confidence we estimate the mean reduction in blood pressure after the training is at least
3.65 and at most 18.35 units.