Question

when women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. the ejection seats were designed for men weighing between 130 lb and 181 lb. weights of women are now normally distributed with a mean of 165 lb and a standard deviation of 46 lb. complete parts (a) through (c) below.

b. if 25 different women are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb. the probability is approximately.9589. (round to four decimal places as needed.)

c. when redesigning the ejection seat, which probability is more relevant?

○ a. the part (b) probability is more relevant because the seat performance for a single pilot is more important.

○ b. the part (a) probability is more relevant because the seat performance for a single pilot is more important.

○ c. the part (a) probability is more relevant because the seat performance for a sample of pilots is more important.

○ d. the part (b) probability is more relevant because the seat performance for a sample of pilots is more important.

Explanation:

When redesigning the ejection seat, we need to consider the performance for a single pilot. Part (a) likely deals with the probability for a single woman (since part (b) is for a sample of 25 women). The seat is used for each individual pilot, so the probability relevant to a single pilot (part (a)) is more important.

Answer:

B. The part (a) probability is more relevant because the seat performance for a single pilot is more important.