Bolivian adult females are much shorter than US females although the standard deviation of their heights is about the same at 2.3 inches. Only 4.1% of Bolivian females are at least five feet tall. What is the mean height of adult Bolivian women assuming their heights are normally distributed?

Question

Can the process to find this please be explained? There are multiple problems like this that provide a percentage and SD and ask for a mean or provide a mean and ask for the SD.

Answer 1

Use:
http://davidmlane.com/hyperstat/z_table.html

use - Value from area
A = .041
SD = 2.3

input means by trial and error
I get
mean = 56 inches ---> .041 above 60.001 inches