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 120 lb and 181 lb. weights of women are now normally distributed with a mean of 165 lb and a standard deviation of 41 lb. complete parts (a) through (c) below.
b. if 35 different women are randomly selected, find the probability that their mean weight is between 120 lb and 181 lb.
the probability is approximately 0.9896. (round to four decimal places as needed.)
c. when redesigning the ejection seat, which probability is more relevant?
a. the part (a) probability is more relevant because the seat performance for a single pilot is more important.
b. the part (b) probability is more relevant because the seat performance for a single pilot is more important.
c. the part (b) probability is more relevant because the seat performance for a sample of pilots is more important.
d. the part (a) probability is more relevant because the seat performance for a sample of pilots is more important.

Explanation:

When redesigning the ejection seat, the performance for an individual pilot (single - person) is crucial. Part (a) deals with the probability for a single woman's weight, while part (b) is about the mean weight of a sample. Since the ejection seat is used by one pilot at a time, the probability related to a single pilot (part (a)) is more relevant.

Answer:

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