A health researcher is interested in comparing three methods of weight loss: low-calorie diet, low-fat diet, and low carb diet. He selects 30 moderately overweight subjects and randomly assigns 10 to each weight-loss program. The following weight reductions (in pounds) were observed after a 1-month period:

Test the null hypothesis that the extent of weight reduction does not differ by type of weight-loss program.

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obtained F ratio 13.14 table F ratio 3.47 df 2,21 a 05