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) If we want to solve the problem, we have to write allthe data in a document, and we must find what percentage of the bell curve is within the given range. Doing this, we see that $75.48$ %of women are eligible. Hence we can see that the height requirement restricts many women (about $25$ % of them).
b) Using the same process with the data for men, we find that $99.9$ % of men are eligible. Thus, most men meet the height requirement.
c) Using our document, we can find the new range for women lies, hence we can see that the range is $58.$5 to $69.1$ inches.
d) Using the same process as in part c), we can find that the new height requirement for men is $63.9$ to $75.1$ inches.
