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In a survey of women in a certain country​ (ages 20-​29), the mean height was 66.3...

In a survey of women in a certain country​ (ages 20-​29), the mean height was 66.3 inches with a standard deviation of 2.71 inches. Answer the following questions about the specified normal distribution.

​(a) What height represents the 95th ​percentile? round to two decimal places as needed

​(b) What height represents the first​ quartile? round to two decimal places as needed

Homework Answers

Answer #1

Given that, mean = 66.3 inches

standard deviation = 2.71 inches

a) We want to find, x such that, P(X < x) = 0.95

Required height is 70.76 inches.

b) We want to find, x such that, P(X < x) = 0.25

Required height is 64.48 inches.

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