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