Question: [15 points] About two years ago, a major domestic airline started charging passengers for checked bags. Prior to this policy being instituted, historical records for the airline show that the average weight of checked bags for a passenger was 50 pounds. The airline suspects that the new policy has resulted in passengers traveling lighter. A sample of checked bags for 49 recent passengers yielded a sample mean of 48 pounds. Historical data shows that the population standard deviation is 8 pounds. At the 5% level of significance, can the airline conclude that passengers are traveling lighter? Would your answer change at a 1% level of significance? Justify.

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