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A group of researchers investigated the impact of every-other-day fasting on weight loss in humans. After...

A group of researchers investigated the impact of every-other-day fasting on weight loss in humans. After 22 days of every-other-day fasting, the researchers measured the amount of weight that was lost by each of 16 human subjects. These data were used to construct a 95% confidence interval for predicting the mean weight loss for the population of people who followed the every-other-day fasting diet for 22 days. The computed interval was (3.4, 4.8) pounds. The interpretation of the interval given by the researchers was: With 95% confidence, we can infer that a randomly selected person from the population who follows the every-other-day fasting diet for 22 days would lose between 3.4 and 4.8 pounds. Why is the researchers’ interpretation of the confidence interval incorrect?

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