A Zone diet is one with a 40%-30%-30% distribution of

Chapter 6, Problem 6CT

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QUESTION:

A Zone diet is one with a 40%-30%-30% distribution of carbohydrate, protein, and fat, respectively, and is based on the book Enter the Zone. In a study conducted by researchers Christopher Gardner and associates, 79 subjects were administered the Zone diet. After 12 months, the mean weight loss was 1.6 kg, with a standard deviation of 5.4 kg. Do these results suggest that the weight loss was statistically significantly greater than zero at the 0.05 level of significance? Do you believe the weight loss has any practical significance? Why? Source: Christopher D. Gardner, Alexandre Kiazand, and Sofiya Alhassan, et al. “Comparison of the Atkins, Zone, Ornish, and LEARN Diets for Change in Weight and Related Risk Factors among Overweight Premenopausal Women. The A to Z Weight Loss Study: A Randomized Trial.” Journal of the American Medical Association, March 2007.

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QUESTION:

A Zone diet is one with a 40%-30%-30% distribution of carbohydrate, protein, and fat, respectively, and is based on the book Enter the Zone. In a study conducted by researchers Christopher Gardner and associates, 79 subjects were administered the Zone diet. After 12 months, the mean weight loss was 1.6 kg, with a standard deviation of 5.4 kg. Do these results suggest that the weight loss was statistically significantly greater than zero at the 0.05 level of significance? Do you believe the weight loss has any practical significance? Why? Source: Christopher D. Gardner, Alexandre Kiazand, and Sofiya Alhassan, et al. “Comparison of the Atkins, Zone, Ornish, and LEARN Diets for Change in Weight and Related Risk Factors among Overweight Premenopausal Women. The A to Z Weight Loss Study: A Randomized Trial.” Journal of the American Medical Association, March 2007.

ANSWER:

Step 1 of 2

Consider the hypothesis,

With  = 0.05 level of significance.

The Test Statistic is as follows,

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