Question

A survey found that​ women's heights are normally distributed with mean 62.4 in. and a standard deviation of 3.7 in. The survey also found that​ men's heights are normally distributed with mean 69.4 in. and a standard deviation of 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.

a) Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?

b) If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​men, what are the new height​ requirements?

Answer 1