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
(a) why is this a matched - pairs?
(b) Test the claim that the flexibility before the exercise program is less than the flexibility after
the exercise program at a significance level of 0.02. Note: the data is approximately normal with
no outliers.
(c) Using the data from the previous problem, construct a 95% confidence interval about the
population mean difference. Interpret your result.
Solution
(a) why is this a matched - pairs? Since the subjects are tested both before and after
an intensive eight-week training program, it uses matched t-pairs test..
Part 1) A physical therapists wishes to determine whether an exerc.pdf
1. 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
(a) why is this a matched - pairs?
(b) Test the claim that the flexibility before the exercise program is less than the flexibility after
the exercise program at a significance level of 0.02. Note: the data is approximately normal with
no outliers.
(c) Using the data from the previous problem, construct a 95% confidence interval about the
population mean difference. Interpret your result.
Solution
(a) why is this a matched - pairs? Since the subjects are tested both before and after
an intensive eight-week training program, it uses matched t-pairs test.
