Suppose the heights of women aged 20 to 29 follow approximately the N(66.7, 2.4) distribution. Also suppose men the same age have heights distributed as N(70.5, 2.2).

Question

What percent (± 0.1) of young men are shorter than average young women?

Answer 1

Z = (female mean-male mean)/male SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.