SOLUTION: Heights of American women aged 20 to 29 years are normally distributed with a mean of 64.3 inches and an SD of 2.4 inches. We want to find the bottom 5% of the height distribution.

Algebra ->  Probability-and-statistics -> SOLUTION: Heights of American women aged 20 to 29 years are normally distributed with a mean of 64.3 inches and an SD of 2.4 inches. We want to find the bottom 5% of the height distribution.      Log On


   

Question 948957: Heights of American women aged 20 to 29 years are normally distributed with a mean of 64.3 inches and an SD of 2.4 inches. We want to find the bottom 5% of the height distribution.
How is this done?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z-score where P=0.05
For that probability,
z=-1.66485
%28x-64.3%29%2F2.4=-1.66485
x-64.3=-3.94765
highlight%28x=60.35%29
So H%3C60.35in is the bottom 5%.