Moderate# Relative Position of a Woman's Height to a Man

APSTAT-LISKNH

The height of an adult male is approximately normally distributed, with a mean of $69$ inches and a standard deviation of $2.8\text{ inches}$. The height of an adult female is approximately normally distributed, with a mean of $63.6$ inches and standard deviation $2.5\text{ inches}$.

What would be the approximate height of an adult female with the same standardized score ($z$-score) as an adult male with a height of $70.4\text{ inches}$?