Question: 11.34 Airline passengers get heavier.In response to the
increasing weight of airline passengers, the Federal Aviation Administration in
2003 told airlines to assume that passengers average 190 pounds in the summer,
including clothing and carry-on baggage. But passengers vary, and the FAA did
not specify a standard deviation. A reasonable standard deviationis 35 pounds.
Weights are not Normally distributed, especially when the populationincludes both men and women, but they
are not very non-Normal. A commuter plane carries 19 passengers. What is the
approximate probabilitythat the total
weight of the passengers exceeds 4000 pounds? Use the four-step processto guide your work.Hint: To
apply the central limit theorem, restate the problem
in terms of the meanweight.)  Edit

Answer: Here population mean=190 and sd= 35 Using Central limit theorem , we can find x bar= 4000/19=210.5 and sample sd= 35/sqrt(19)=8.029 and test statistic, z= (x bar - mean)/sample sd= (210.5-190)/8.029=2.55 Need to find ( x bar > 210.5)=? So, P(x bar > 210.5)=P(z>2.55)=0.5-0.4946=0.0054(Ans.)  Edit