Question: A customer satisfaction study is conducted for the two leading home improvement stores: Home Pro and Index Mart. A group of people chosen randomly is
A customer satisfaction study is conducted for the two leading home improvement stores: Home Pro and Index Mart. A group of people chosen randomly is asked to rate Home Pro's products and services on a scale of 0 to 100 (100 is best). Another group of people chosen randomly is asked to rate Index Mart on the same scale. Data set is provided in the Excel Template file. Can it be concluded that the average customer satisfaction scores are different?
| HomePro | IndexMart |
| 90 | 86 |
| 89 | 87 |
| 91 | 89 |
| 81 | 80 |
| 75 | 80 |
| 95 | 87 |
| 87 | 95 |
| 87 | 85 |
| 89 | 87 |
| 82 | 87 |
| 84 | 94 |
| 80 | 86 |
| 87 | 90 |
| 86 | 85 |
| 84 | 84 |
| 87 | 83 |
| 70 | 84 |
| 80 | 85 |
| 88 | 82 |
| 86 | 94 |
| 83 | 86 |
| 85 | 94 |
| 80 | 87 |
| 87 | 91 |
| 86 | 89 |
Part A: What is the appropriate tool for this analysis and why? Be as specific as possible. Part B: Specify the null and alternative hypotheses. Part C: What is the conclusion at 5% significance level? Why? Also provide a complete interpretation of the result (i.e., what the result means in the context of the problem). Part D: Based on the same data, can you conclude that the average customer satisfaction score of Home Pro is higher than that of Index Mart (5% significance level)? Why?
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