Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 40 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.4 kilograms with a sample standard deviation of 3.72 kilograms. A second sample of 43 subjects went on a low-fat diet. Their sample mean weight loss was 1.4 kilograms with a standard deviation of 3.21 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let u, denote the mean weight lost on the low-carb diet and , denote the mean weight lost on the low-fat diet. Use the a=0.05 level and the TI-84 Plus calculator. db Part 1 of 4 State the appropriate null and alternate hypotheses. Ho: This hypothesis test is a (Choose one) test. Part 2 of 4 Compute the P-value. Round the answer to four decimal places. P = Part 3 of 4 Determine whether to reject Ho. (Choose one) the null hypothesis Ho. Part 4 of 4 State a conclusion. There (Choose one) - enough evidence to conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets.

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Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 40 subjects went on a low-carbohydrate diet for six
months. At the end of that time, the sample mean weight loss was 2.4 kilograms with a sample standard deviation of 3.72 kilograms. A second sample of 43
subjects went on a low-fat diet. Their sample mean weight loss was 1.4 kilograms with a standard deviation of 3.21 kilograms. Can you conclude that the mean
weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let u, denote the mean weight lost on the
low-carb diet and H, denote the mean weight lost on the low-fat diet. Use the a=0.05 level and the TI-84 Plus calculator.
Part 1 of 4
State the appropriate null and alternate hypotheses.
H:
This hypothesis test is a (Choose one) v test.
Part 2 of 4
Compute the P-value. Round the answer to four decimal places.
P =
Part 3 of 4
Determine whether to reject Ho.
(Choose one) ▼
the null hypothesis H.
Part 4 of 4
State a conclusion.
There (Choose one) v enough evidence to conclude that the mean weight loss of subjects having low-carb diets is
greater than the mean weight loss of subjects having low-fat diets.
Transcribed Image Text:Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 40 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.4 kilograms with a sample standard deviation of 3.72 kilograms. A second sample of 43 subjects went on a low-fat diet. Their sample mean weight loss was 1.4 kilograms with a standard deviation of 3.21 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let u, denote the mean weight lost on the low-carb diet and H, denote the mean weight lost on the low-fat diet. Use the a=0.05 level and the TI-84 Plus calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. H: This hypothesis test is a (Choose one) v test. Part 2 of 4 Compute the P-value. Round the answer to four decimal places. P = Part 3 of 4 Determine whether to reject Ho. (Choose one) ▼ the null hypothesis H. Part 4 of 4 State a conclusion. There (Choose one) v enough evidence to conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets.
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