Question

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 211lb. The new population of pilots has normally distributed weights with a mean of 155lbs and 32.9lb standard deviation of .

a. If a pilot is randomly​ selected, find the probability that his weight is between 150lb and 211lb. The probability is approximately _______. ​(Round to four decimal places as​ needed.)

b. If different pilots are randomly​ selected, find the probability that their mean weight is between 150lb and 211lb. The probability is approximately ______. ​(Round to four decimal places as​ needed.)

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

A. Part​ (b) because the seat performance for a single pilot is more important.

B. Part​ (b) because the seat performance for a sample of pilots is more important.

C. Part​ (a) because the seat performance for a single pilot is more important.

D. Part​ (a) because the seat performance for a sample of pilots is more important. Click to select your answer(s).

Answer 1

A.

B.

Your question does not provide information on the value of n. So I am assuming n to be 36. Please use your value of n to solve this part following the solution below. So,

= 155

=

= 32.9/6

= 5.483

C.

C. Part​ (a) because the seat performance for a single pilot is more important.

Please upvote if you have liked my answer, would be of great help. Thank you.