Problem 31: Heights of Women

Statistics
Tutor: None Selected Time limit: 1 Day

Heights of Women: In a survey of women in the United States (ages 20-29), the mean height was 64.3 inches with a standard deviation of 2.6 inches.

(a) What height represents the 95th percentile?
(b) What height represents the firs quartile?

Mar 31st, 2015

a) The probability closest to 0.95 on the table is 0.9495, which happens at z = 1.64.

Solving the equation 1.64 =  (x- 64.3)/2.6 for x, 

z = 1.64 * 2.6 + 64.3 =  4.264 + 64.3 = 68.564

we get that the 90th percentile is 68.56.


b) 

The probability closest to 0.25 on the table is 0.2514, which happens at z =

Mar 31st, 2015

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