15. A study is conducted to determine whether dieting plus exercise is more effective in producing weight loss than dieting alone. Twelve pairs of matched subjects are run in the study. Subjects are matched on initial weight, initial level of exercise, age, and gender. One member of each pair is put on a diet for 3 months. The other member receives the same diet but, in addition, is put on a moderate exercise regimen.

The following scores indicate the weight loss in pounds over the 3-month period for each subject:

In answering the following questions, assume the data are very nonnormal so as to preclude using the appropriate parametric test.

a. What is the alternative hypothesis? Use a directional hypothesis.

b. What is the null hypothesis?

c. Using 0.051 tail, what do you conclude? health

Pair Diet Plus Exercise Diet Alone 1 24 16 2 20 18 3 22 19 4 15 16 5 23 18 6 21 18 7 16 17 8 17 19 9 19 13 10 25 18 11 24 19 12 13 14 16