A study was conducted to determine the effectiveness of a diet program in reducing the weight of obese people. Eight randomly selected patients were put on this diet and the amount of weight losses (in pounds) were recorded. Suppose the sample mean and the sample standard deviation of weight losses were 36 and 5.291503 pounds, respectively. Construct a 90% confidence interval for the average weight loss and based on the confidence interval constructed determine if you would expect to see an average weight loss of 35 pounds. (Assume that samples were taken independently from a normal distribution.) Answer choice: 90% CI: (32.45478, 39.54522), an average weight loss of 35 pounds is not expected to see. 90% CI: (34.74658, 37.25342), an average weight loss of 35 pounds is expected to see. 90% CI: (32.45478, 39.54522), an average weight loss of 35 pounds is expected to see. 90% CI: (33.35278, 38.64722), an average weight loss of 35 pounds is expected to see. 90% CI: (34.74658, 37.25342), an average weight loss of 35 pounds is not expected to see. 90% CI: (33.35278, 38.64722), an average weight loss of 35 pounds is not expected to see.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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A study was conducted to determine the effectiveness of a diet program in reducing the weight of obese people. Eight randomly selected patients were put on this diet and the amount of weight losses (in pounds) were recorded. Suppose the sample mean and the sample standard deviation of weight losses were 36 and 5.291503 pounds, respectively. Construct a 90% confidence interval for the average weight loss and based on the confidence interval constructed determine if you would expect to see an average weight loss of 35 pounds. (Assume that samples were taken independently from a normal distribution.)

Answer choice:

90% CI: (32.45478, 39.54522), an average weight loss of 35 pounds is not expected to see.
90% CI: (34.74658, 37.25342), an average weight loss of 35 pounds is expected to see.
90% CI: (32.45478, 39.54522), an average weight loss of 35 pounds is expected to see.
90% CI: (33.35278, 38.64722), an average weight loss of 35 pounds is expected to see.
90% CI: (34.74658, 37.25342), an average weight loss of 35 pounds is not expected to see.
90% CI: (33.35278, 38.64722), an average weight loss of 35 pounds is not expected to see.
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