Suppose that the heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.66 inches. Suppose further that the heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.5? inches. a} If a man is 6-feet 3-inches tall, what is his 2 score? {Round your answer to 2 places after the decimal point, if necessary.) b) What percentage of men are SHURTER than 6-feet-3 inches? [Round your answer to the nearest tenth of a percent--1 place after the decimal point--if necessary. Do NOT type a "BS" symbol after your answer.) c] If a woman is 5-feet11inches tall, what is her 2 score? {Round your answer to 2 places after the decimal point, if necessary.) d) What percentage of women are TALLER than 5feet 11-inches? {Round your answer to the nearest tenth of a percent1 place after the decimal pointuif necessary. Do NOT type a "92'.\" symbol after your answen] e) Who is relatively taller: a 6'3\" American man or a 5'11"American woman? Defend your choice in a meaningful sentence