An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 128 lb and a standard deviation of 33.2 lb. Click here to view page 1 of the standard normal distribution, Click here to view page 2 of the standard normal distribution. CHILD a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb. The probability is approximately (Round to four decimal places as needed.) b. If 39 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. The probability is approximately. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot s more important. O B. Part (a) because the seat performance for a sample of pilots is more important. OC. Part (b) because the seat performance for a single pilot more important. OD. Part (b) because the seat performance for a sample of pilots is more important.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights
with a mean of 128 lb and a standard deviation of 33.2 lb.
Click here to view page 1 of the standard normal distribution.
Click here to view page 2 of the standard normal distribution.
a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.
The probability is approximately
(Round to four decimal places as needed.)
b. If 39 different pilots are randomly
The probability is approximately
selected, find the probability that their mean weight is between 120 lb and 161 lb.
(Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?
O A. Part (a) because the seat performance for a single pilot is more important.
B.
Part (a) because the seat performance for a sample of pilots is more important.
O C.
Part (b) because the seat performance for a single pilot is more important.
O D.
Part (b) because the seat performance for a sample of pilots is more important.
Transcribed Image Text:K An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 128 lb and a standard deviation of 33.2 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb. The probability is approximately (Round to four decimal places as needed.) b. If 39 different pilots are randomly The probability is approximately selected, find the probability that their mean weight is between 120 lb and 161 lb. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. B. Part (a) because the seat performance for a sample of pilots is more important. O C. Part (b) because the seat performance for a single pilot is more important. O D. Part (b) because the seat performance for a sample of pilots is more important.
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