In a survey of women in a certain country (ages 20-29), the mean height was 66.8

Question

In a survey of women in a certain country (ages 20-29), the mean height was 66.8 inches with about the specified nomal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? a standard deviation of 2.79 inches. Answer the following questions (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) Enter yout answer in each of the answer boxes O Type here to searcih 7B

Explanation / Answer

a) for 95th percentile ; zscore =1.6449

therfore corresponding height =mean+z*Std deviation =71.39

b)for first quartile (25th percentile) ;  zscore = -0.6745

therfore corresponding height =mean+z*Std deviation = 64.92

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