The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 30.2 lb.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 30.2 lb.
a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.)
b. If 35 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb 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 sample of pilots is more important
B. Part(a) 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 (b) because the seat performance for a single pilot is more important
Homework Answers
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.4238, TRUE)" & "=NORM.S.DIST(-0.2649, TRUE)" to find the probability.
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(8.4236, TRUE)" & "=NORM.S.DIST(-1.5672, TRUE)" to find the probability.
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