Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 48 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.9 kilograms with a sample standard deviation of 4.46 kilograms. A second sample of 46 subjects went on a low-fat diet. Their sample mean weight loss was 1.5 kilograms with a standard deviation of 3.44 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 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 a=0.1 level and the TI-84 Plus calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. Ho ₁ = ₂ H₁ H₁ H₂ This hypothesis test is a right-tailed test. Part: 1 / 4 Part 2 of 4 Compute the P-value. Round the answer to four decimal places. P= X 5

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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 48 subjects went on a
low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.9 kilograms with a sample
standard deviation of 4.46 kilograms. A second sample of 46 subjects went on a low-fat diet. Their sample mean weight loss
was 1.5 kilograms with a standard deviation of 3.44 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 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 a=0.1 level and the TI-84 Plus
calculator.
Part 1 of 4
State the appropriate null and alternate hypotheses.
:
Ho |-1 = U2
:
H₁ H₁ H₂
This hypothesis test is a right-tailed
Part: 1 / 4
Part 2 of 4
Compute the P-value. Round the answer to four decimal places.
P =
X
test.
3
Transcribed Image Text:Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 48 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.9 kilograms with a sample standard deviation of 4.46 kilograms. A second sample of 46 subjects went on a low-fat diet. Their sample mean weight loss was 1.5 kilograms with a standard deviation of 3.44 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 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 a=0.1 level and the TI-84 Plus calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. : Ho |-1 = U2 : H₁ H₁ H₂ This hypothesis test is a right-tailed Part: 1 / 4 Part 2 of 4 Compute the P-value. Round the answer to four decimal places. P = X test. 3
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