The heights of adult men in America are normally distributed,with a mean of 69.5 inches and a standard deviation of 2.65 inches.The heights of adult women in America are also normallydistributed, but with a mean of 64.7 inches and a standarddeviation of 2.53 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to twodecimal places)?
z =Â Â
b) What percentage of men are shorter than 6 feet 3 inches? Roundto the nearest tenth of a percent.
c) If a woman is 5 feet 11 inches tall, what is her z-score (to twodecimal places)?
z =Â Â
d) What percentage of women are TALLER than 5 feet 11 inches? Roundto nearest tenth of a percent
