Because of the pandemic, Wegman’s wants to expedite theirgrocery services by reorganizing so that people do not have tospend as much time in their store each visit. They sample randomcustomers to see how long they spend shopping at the store. Afterreorganizing, they measure how long those same customers take inthe grocery store.
Your data show the following for a sample of 16 customers.
Minutes Spent Shopping | Before Reorganization | After Reorganization | Difference |
Mean | 43.2 | 37.9 | 5.3 |
Standard Deviation | 10.3 | 9.0 | 7.8 |
a. Wegmans hires you to determine how successful theirreorganization was. Did the reorganization reduce the amount oftime customers shop in the store? Set up, conduct, and interpret ahypothesis test to answer this question based on a Type-I errorrate of 0.01.
b. The p-value for this test was found to be about 0.008,explain what that means.
c. What assumption do you need to make in order for this test tobe valid? Be specific.
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