Posted by **Rob** on Monday, March 7, 2011 at 8:01am.

Part 1)

A physical therapists wishes to determine whether an exercise program increases flexibility. He measures the flexibility (in inches) of 12 randomly selected subjects both before and after an intensive eight-week training program and obtains the following data:

Before: 18.5, 21.5, 16.5, 21, 20, 15, 19.75, 15.75, 18, 22, 15, 20.5

After: 19.25, 21.75, 16.5, 20.5, 22.25, 16, 19.5, 17, 19.25, 19.5, 16.5, 20

Test the claim that the flexibility before the exercise program is less than the flexibility after the exercise program at a significance level of 0.01. Note: the data is approximately normal with no outliers.

Part 2)

Using the data from the previous problem, construct a 95% confidence interval about the population mean difference. Interpret your result.

Any help would be greatly appreciated. Thank you for your time.

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