Question

3. A health researcher was interested in comparing three methods of weight loss: low-calorie diet, low-fat diet, and high-exercise regimen. He selected 15 moderately overnight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in pounds) were observed after a one-month period:

______________________________

Low             Low-fat               High

Calorie diet diet                     exercise

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7                  7                          7

7                  6                          8

5                  8                          7

4                  8                          9

5                  6                          8

_____________________________

a) Test the null hypothesis that the extent of weight reduction does not differ by type of weight-loss program. (Set α=.01 level) (10 points)

b) If the result at a) rejects the null hypothesis, use an appropriate multiple comparison procedure and determine where the significant differences occur. (5 points)

c) Calculate the correlation ratio and interpret the result. (3 points)

Answer 1