The U.S. Marine Corps requires that men have heights between 64 in. and 80 in.

a. Find the percentage of men who meet the height requirements. Are many men denied the opportunity to become a Marine because they do not satisfy the height requirements?

b. If the height requirements are changed so that all men are eligible except the shortest 3% and the tallest 4%, 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.