s going to redesign an ejection seat for an airplane. The seat was designed for
ID: 3313359 • Letter: S
Question
s going to redesign an ejection seat for an airplane. The seat was designed for piliots weighing between 120 b and 171 tb. The new population of plots has nomaily distrnibuted of 126 ib and a standard deviation of 32 4 lb. a. If a pliot is randomly selected, find the probability that his weight is between 120 ib and 171 The probability is approximately (Round 10 four decimal places as needed ) b. If 40 dfferent pilots are randomly selected, find the probability that their mean weight is between 120 b and 171 The probability is approximately (Round to four deamal places as needed ) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance tor a single pict is more important. A OB Part (b) because the seat performance for a sample of pilots is more important yo C. Pan (a) because the seat performanoo fr a sample of plots is more important mei sd O D. Part (a) because the seat performance for a single plot is more important WaExplanation / Answer
a)P(120<X<171)=P((120-126)/32.4<Z<(171-126)/32.4)=P(-0.1852<Z<1.3889)=0.9176-0.4265 =0.4910
b)fore n=40 ; std error of mean =std deviaiton/(n)1/2 =5.1229
tehrefore
P(120<X<171)=P((120-126)/5.1229<Z<(171-126)/5.1229)=P(-1.1712<Z<8.7841)=1.0000-0.1208 =0.7892
c)
option D is correct
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