SOLUTION: Can you help me solve this problem? Researchers with a health spa have developed five different diet-exercise programs to help obese people lose weight.Results are given below

Question 191461: Can you help me solve this problem?
Researchers with a health spa have developed five different diet-exercise programs to help obese people lose weight.Results are given below as to the amount of weight lost in each program. Is there evidence to suggest that there is a difference in weight loss based on the given regimen? Use a 0.05 level of significance to test the claim.
Weight Loss Program A: 13,16,16,7,12,7,4,12,9
Weight Loss Program B: 12,8,6,9,11,6,10,5,7,9,11,13,11,19,15

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Researchers with a health spa have developed five different diet-exercise programs to help obese people lose weight.Results are given below as to the amount of weight lost in each program. Is there evidence to suggest that there is a difference in weight loss based on the given regimen? Use a 0.05 level of significance to test the claim.
Weight Loss Program A: 13,16,16,7,12,7,4,12,9
Mean loss = 10.67 ; std dev = 4.1833
--------------------------
Weight Loss Program B: 12,8,6,9,11,6,10,5,7,9,11,13,11,19,15
Mean loss = 10.1333 ; std dev = 3.71996
=======================================
Ho: u(A)-u(B) = 0
H1: u(A)-u(B) is not equal to 0
--------------
I ran a 2-Sample t test and got the following results:
test statistic: t = 0.31498
p-value: 0.75700
----
Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
There is no statistical difference between the results of A and B..
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Cheers,
Stan H.
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