The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.58 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z =
b) What percentage of men are SHORTER than 6 feet 3 inches? Round to the nearest tenth of a percent. %
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z =
d) What percentage of women are TALLER than 5 feet 11 inches? Round to the nearest tenth of a percent. %