Heights of American adult males and females ages 20-49 are approximately normally distributed. Male heights have a mean of 69.3 inches and a standard deviation of 2.92 inches. Female heights have a mean of 64.1 inches and a standard deviation of 2.75 inches.

a. The height standards are the same for both male and female applicants for the U.S. Navy. Applicants

cannot be below 57 inches and not above 80 inches. What percent of the U.S. adult men and women are

NOT qualified for the height requirements for the U.S. Navy?

b. An architect needs to make sure that 90% of men can fit through a door without bending. What should be the height of the door? =73

c. Refer back to part b. Would the tallest 2% of women fit through the same door without bending? d. According to a national survey, 80% of women refuse to date men who are under 5.5 feet. What percent of men are shorter than 5.5?