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In: Statistics and Probability

A hotel manager is looking to enhance the initial impression that hotel guests have when they...

A hotel manager is looking to enhance the initial impression that hotel guests have when they check in. Believed to contribute to initial impressions is the time it takes to deliver a guest’s luggage to his or her room after check-in. A random sample of 20 deliveries on a particular day were selected from Wing A of the hotel, and a random sample of 20 deliveries were selected in Wing B (i.e., the Excel tab LUGGAGE).

(a) Identify which type of test is most appropriate for you to use, justify your answer.

(b) Determine whether or not the mean delivery time differs for the two wings of the hotel (use α = .05).

(c) If faster luggage delivery time is positively related to guests’ initial impression, which wing(s) should receive the highest impression ratings?

Wing A Wing B
13.70 10.20
12.89 12.68
14.83 12.29
12.23 11.95
11.56 9.61
12.21 11.53
12.48 11.92
13.03 10.95
15.67 12.10
11.96 11.70
12.51 14.13
13.85 14.58
13.57 15.01
14.06 8.28
11.91 12.23
14.79 14.25
13.59 11.44
12.13 9.57
14.37 13.61
12.91 9.77

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