Answer
a) 75.48%
b) 99.9%
c) 58.5 to 69.1 inches
d) 63.9 to 75.1 inches
Work Step by Step
a) In order to solve this problem, we write all of the data in a document, and we find what percentage of the bell curve is within the given range. Doing this, we see that 75.48 percent of women are eligible. Thus, we see that the height requirement does restrict many women (about 25 percent of them).
b) Using the same process with the data for men, we find that 99.9 percent of men are eligible. Thus, most men meet the height requirement.
c) Using our document, we find where the new range for women lies. Doing this, we see that the range is 58.5 to 69.1 inches.
d) Using the same process as in part c), we find that the new height requirement for men is 63.9 to 75.1 inches.
