Assuming that the heights of college women are normally distributed with mean 68
ID: 3349847 • Letter: A
Question
Assuming that the heights of college women are normally distributed with mean 68 inches and standard deviation 1.8 inches, answer the following questions. (Hint: Use the figure below with mean and standard deviation .)
(a) What percentage of women are taller than 68 inches?
%
(b) What percentage of women are shorter than 68 inches?
%
(c) What percentage of women are between 66.2 inches and 69.8 inches?
%
(d) What percentage of women are between 64.4 and 71.6 inches?
%
Explanation / Answer
population mean,u = 68
standard deviation,sigma = 1.8
a.
Since 68 is mean
percentage of women are taller than 68 inches
= 50%
b. similarly Since 68 is mean
percentage of women are shorter than 68 inches
= 50%
c.
66.2 = 68 - 1*1.8
69.8 =68 + 1*8
68% data lies within 1 standard deviation from mean.
d.
64.4 = 68 - 2*1.8
71.6 = 68 + 2*1.8
95% data lies within 2 standard deviation from mean.