Are low-fat diets or low-carb diets more effective for weight loss? A sample of 72 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.3 kilograms with a sample standard deviation of 5.23 kilograms. A second sample of 70 subjects went on a low-fat diet. Their sample mean weight loss was 4.4 kilograms with a standard deviation of 6.70 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Let μ1 denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the α=0.01 level and the TI-84 Plus calculator. a)State the appropriate null and alternate hypotheses b)Compute the P-value. Round the answer to four decimal places. c)Determine whether to reject H0. d)There (is/is not) enough evidence to conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets.

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Are low-fat diets or low-carb diets more effective for weight loss? A sample of 72 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.3 kilograms with a sample standard deviation of 5.23 kilograms. A second sample of 70 subjects went on a low-fat diet. Their sample mean weight loss was 4.4 kilograms with a standard deviation of 6.70 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Let μ1 denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the α=0.01 level and the TI-84 Plus calculator.

a)State the appropriate null and alternate hypotheses

b)Compute the P-value. Round the answer to four decimal places.

c)Determine whether to reject H0.

d)There (is/is not) enough evidence to conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets.

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