Suppose that the heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.68 inches. Suppose further that the heights of adult women in America are also normally distributed, but with a mean of 64.1 inches and a standard deviation of 2.54 inches. a) If a man is 6-feet 3-inches tall, what is his z score? (Round your answer to 2 places after the decimal point, if necessary.) Z = b) What percentage of men are SHORTER 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 "%" symbol after your answer.) c) If a woman is 5-feet 11-inches tall, what is her z score? (Round your answer to 2 places after the decimal point, if necessary.) Z = d) What percentage of women are TALLER than 5-feet 11-inches? (Round your answer to the nearest tenth of a percent--1 place after the decimal point--if necessary. Do NOT type a "%" symbol after your answer.) e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence. Submit Question gation MacBook Pro 888 44 $ o & X # O 3 4 5 6 R T O W E Y U S D F G H K X C V B N M