In a survey of women in a certain country (ages 20 - 29), the mean height was 65.6 inches with a standard deviation of 2.89 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? (a) The height that represents the 95th percentile is ? ? inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is ? ? inches. (Round to two decimal places as needed.)
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(a) For the 95th percentile, we look for the z-score corresponding to an area of 0.95 to the left of the curve. From the table, we find that the z-score is approximately 1.645. (b) For the first quartile (25th percentile), we look for the z-score corresponding Show more…
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