Question: 12. Confidence Interval for Comparing Diets Arandomized trial tested the effectiveness of diets on adults. Among 40 subjects using the Weight Watchers diet, the mean

12. Confidence Interval for Comparing Diets Arandomized trial tested the effectiveness of diets on adults. Among 40 subjects using the Weight Watchers diet, the mean weight loss after one year was 3.0 lb with a standard deviation of 4.9 lb. Among 40 subjects using the Atkins diet, the mean weight loss after one year was 2.1 lb with a standard deviation of 4.8 lb. Construct a 95% confidence interval estimate of the difference between the population means. Does there appear to be a difference in the effectiveness of the two diets? Does the amount of weight loss appear to justify either diet?

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