USA Today reports (Gary Stoller, Hotel Bill Mistakes Mean Many Pay Too Much) that George Hansen, CEO

USA Today reports (Gary Stoller, €œHotel Bill Mistakes Mean Many Pay Too Much€) that George Hansen, CEO of Wichita-based Corporate Lodging Consultants, conducted a recent review of hotel bills over a 12-month period. The review indicated that, on average, errors in hotel bills resulted in overpayment of $11.35 per night. To determine if such mistakes are being made at a major hotel chain, the CEO might direct a survey yielding the following data:

The file OverPay contains these data.
a. Conduct a hypothesis test with α = 0.05 to determine if the average overpayment is smaller than that indicated by Corporate Lodging Consultants.
b. If the actual average overpayment at the hotel chain was $11 with an actual standard deviation of $1.50, determine the probability that the hypothesis test would correctly indicate that the actual average is less than $11.35.

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9.99 9.87 11.53 12.40 12.36 1168 12.52 9.34 13.13 10.78 9.76 10.88 10.61 0.29 10.23 9.29 8.82 8.70 8.22 11.01 12.40 9.55 1.30 02 8.19 1056 8.49 7.99 8.03 10.53