18 of 22 (1 complete) This Test: 22 pts possil An engineer is going to redesign

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18 of 22 (1 complete) This Test: 22 pts possil An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 191 lb. The new population of pilots Question Help has normally distributed weights with a mean of 157 lb and a standard deviation of 34.8 lb. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb The probability is approximately Round to four decimal places as needed) b. If 35 differen The probability is approximately (Round to four decimal places as needed ) c. When redesigning the ejection seat, which probability is more relevant? 0 A. Part(b) because the seat performance for a single pilot is more important. t pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 b B. Part (a) because the seat performance for a single pilot is more important. O C. Part (b) because the seat performance for a sample of pilots is more important D. Part (a) because the seat performance for a sample of pilots is more important. Click to select your answer(s) Section 8.1 Homework 10/28/17

Explanation / Answer

a) P(150<X<191) =P((150-157)/34.8<Z<(191-157)/34.8)=P(-0.2011<Z<0.9770)=0.8357-0.4203 =0.4154

b)std error =std deviaiton/(n)1/2 =5.8823

P(150<X<191) =P((150-157)/5.8823<Z<(191-157)/5.8823)=P(-1.1900<Z<5.7801)=1-0.1170 =0.8830

c)

option B

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