The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.1 inches and a standard deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score?
z =
b) What percentage of men are SHORTER than 6 feet 3 inches?
c) If a woman is 5 feet 6 inches tall, what is her z-score?
z =
d) What percentage of women are TALLER than 5 feet 6 inches?