In: Statistics and Probability
A national health survey found that men’s heights are normally distributed with mean 69.0 and a standard deviation of 2.8 inches. The same survey found that woman’s heights are normally distributed with a mean of 63.6 and a standard deviation of 2.5 inches. (a) If the International Tall club has a minimum height requirement of 74 inches, what percentage of men meet this requirement? (b) If the International Tall Club accepts the tallest 4% of all women, what is the new minimum height for women?Show your answers in DETAIL utilizing correct formulas.