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In a survey of men in a certain country (ages 20-29), the mean height was 64.1 i

ID: 2908527 • Letter: I

Question

In a survey of men in a certain country (ages 20-29), the mean height was 64.1 inches with a standard deviation of 29 inches. (a) What height represents the 99th percentile? (b) What height represents the first quartile? Click to view page 1 of the Standard Normal Table. Click to view page 2 of the Standard Normal Table (a) The height that represents the 99th 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.)

Explanation / Answer

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We use the Z tables to find the percentile' Z value.

a. 99th percentile is : Mean + Z*Stdev = 64.1 + 2.326*2.9 = 70.85 inches

For 1st quartile , we have Z = 64.1 -.675*2.9 = 62.14 inches

a. 99th percentile is : Mean + Z*Stdev = 64.1 + 2.326*2.9 = 70.85

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