The U.S. Army requires women’s heights to be between 58 in. and 80 in.

a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join the Army because they are too short or too tall?

b. If the U.S. Army changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?

Use this information (based on data from the National Health Survey):

• Men’s heights are normally distributed with mean 69.0 in. and standard deviation 2.8 in.

• Women’s heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in.