Question

A survey found that​ women's heights are normally distributed with mean 63.7 in and standard deviation 2.2 in. A branch of the military requires​ women's heights to be between 58 in and 80 in.

a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too​ tall?

b. If this branch of the military changes the height requirements so that all women are eligible except the shortest​ 1% and the tallest​ 2%, what are the new height​ requirements?

USE Z SCORE TABLES

a. The percentage of women who meet the height requirement is __________%. ​(Round to two decimal places as​ needed.)

Are many women being denied the opportunity to join this branch of the military because they are too short or too​ tall?

A. ​No, because the percentage of women who meet the height requirement is fairly small.

B. ​No, because only a small percentage of women are not allowed to join this branch of the military because of their height.

C. ​Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.

D. ​Yes, because the percentage of women who meet the height requirement is fairly large.

.

b. For the new height​ requirements, this branch of the military requires​ women's heights to be at least _____ inches and at most _______in.

Answer 1

For the new height​ requirements, this branch of the military requires​ women's heights to be at least __58.6___ inches and at most ___68.2____in.