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:

______________________________

LowLow-fatHigh

Calorie dietdietexercise

______________________________

777

768

587

489

568

_____________________________

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

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

c) Calculate the correlation ratio and interpret the result.