Question

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?

Answer 1

a) µ = 69

                        

                         = P(Z > 1.79)

                         = 1 - P(Z < 1.79)

                         = 1 - 0.9633

                         = 0.0367

b) µ = 63.6

or, x = 67.975 inches or 68 inches