A health researcher is interested in comparing 3 methods of weight loss: low-calorie diet, low-fat diet and high exercise regimen. He selected 15 moderately overweight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in lbs) were observed after a one-month period. Test the hypothesis that the extent of weight reduction does not differ by type of weight-loss program.

Low Fat : 7 7 5 4 6

Low Calorie : 7 8 8 9 5

High Exercise Regimen : 7 9 7 8 8