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
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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