The heights of women aged 20 to 29 are approximately normal withmean 64 inches and standard deviation 2.7 inches. Men the same agehave mean height 69.3 inches with standard deviation 2.8 inches. a)What is the z-scores for a woman 6 feet tall? b) What is thez-scores for a man 6 feet tall? c) What information do the z-scoresgive that the actual heights do not? d) What percent of men areshorter than 5 feet, 5 inches tall? e) What percent of women areover 6 feet, 1 inch tall? f) Find the interquartile range for theheight of women aged 20-29.