A hotel manager looks to enhance the initial impressions that hotel guests have when they check in. Contributing to initial impressions is the time it takes to deliver a guest’s luggage to the room after check-in. A random sample of 20 deliveries on a particular day were selected in Wing A of the hotel, and a random sample of 21 deliveries were selected in Wing B. The following statistics on delivery times were obtained: Wing A Wing B Mean (in minutes) 10.4 8.1 Variance 1.88 2.01 Observations 21 20 Determine whether there is a difference between the mean delivery times in the two wings of the hotel (use alpha =0.05). Make sure to analyze sample variances to choose an appropriate test of the differences in means. Make sure to also state the following: state the hypotheses; determine the degrees of freedom, if you conduct a one or two tail test, determine the critical values, draw a graph showing the critical values, calculate the test statistic; make a decision graphically and in your own words to conclude your tests. Show the underlying formulas.
A hotel manager looks to enhance the initial impressions that hotel guests have when they check in. Contributing to initial impressions is the time it takes to deliver a guest’s luggage to the room after check-in. A random sample of 20 deliveries on a particular day were selected in Wing A of the hotel, and a random sample of 21 deliveries were selected in Wing B. The following statistics on delivery times were obtained:
|
|
Wing A |
Wing B |
|
Mean (in minutes) |
10.4 |
8.1 |
|
Variance |
1.88 |
2.01 |
|
Observations |
21 |
20 |
Determine whether there is a difference between the mean delivery times in the two wings of the hotel (use alpha =0.05). Make sure to analyze sample variances to choose an appropriate test of the differences in means. Make sure to also state the following: state the hypotheses; determine the degrees of freedom, if you conduct a one or two tail test, determine the critical values, draw a graph showing the critical values, calculate the test statistic; make a decision graphically and in your own words to conclude your tests. Show the underlying formulas.
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