Question

The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.57 inches.

a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.

e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.

Answer 1