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28. Find the z-score for which 99% of the distribution's area lies between -z and z. 29. In a survey of men in the
28. Find the z-score for which 99% of the distribution's area lies between -z and z. 29. In a survey of men in the United States (ages 20-29), the mean height was 69.4 inches with a standard deviation of 2.9 inches. (Adapted from National Center for Health Statistics) (a) What height represents the 90th percentile? (b) What height represents the first quartile? 30. The annual per capita consumption of fresh bananas (in pounds) in the United States can be approximated by a normal distribution, with a mean of 10.4 pounds and a standard deviation of 3 pounds. (Adapted from U.S. Department of Agriculture) (a) What is the smallest annual per capita consumption of bananas that can be in the top 10% of consumptions? (b) What is the largest annual per capita consumption of bananas that can be in the bottom 5% of consumptions?
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