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Social ScienceTaller Young Women. In the document Anthropometric Reference Data for Children and Adults, C. Fryer et al. present data from the National Health and Nutrition Examination Survey on a variety of human body measurements. A half-century ago, the mean height of (U.S.) women in their 20s was 62.6 inches. Assume that the heights of today’s women in their 20s are approximately normally distributed with a standard deviation of 2.88 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 25 of today’s women in their 20s have mean heights of at least 64.24 inches?
Taller Young Women. In the document Anthropometric Reference Data for Children and Adults, C. Fryer et al. present data from the National Health and Nutrition Examination Survey on a variety of human body measurements. A half-century ago, the mean height of (U.S.) women in their 20s was 62.6 inches. Assume that the heights of today’s women in their 20s are approximately normally distributed with a standard deviation of 2.88 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 25 of today’s women in their 20s have mean heights of at least 64.24 inches?
Expert Answer
Sampling distribution of a sample mean:
The mean value is,
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