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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Low Calorie 7 7 5 4 6 3 9 10 5 2 78895 Low Fat 8 7 10 11 5 2 797∞0 00 Low Carb 8 7 11 40156 8 6