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Question
NARRBEGIN: SA_126_128The retailing manager of Meijer supermarket chain in Michigan wants to determine whether product location has any effect on the sale of children toys. Three different aisle locations are considered: front, middle, and rear. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. The size of the display area and price of the product are constant for all the stores. At the end of one-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as shown below:
NARRBEGIN: SA_126_128
The retailing manager of Meijer supermarket chain in Michigan wants to determine whether product location has any effect on the sale of children toys. Three different aisle locations are considered: front, middle, and rear. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. The size of the display area and price of the product are constant for all the stores. At the end of one-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as shown below:
| Front Aisle | Middle Aisle | Rear Aisle |
| 10.0 | 4.6 | 6.0 |
| 8.6 | 3.8 | 7.4 |
| 6.8 | 3.4 | 5.4 |
| 7.6 | 2.8 | 4.2 |
| 6.4 | 3.2 | 3.6 |
| 5.4 | 3.0 | 4.2 |
(A) At the 0.05 level of significance, is there evidence of a significant difference in average sales among the various aisle locations?
(B) If appropriate, which aisle locations appear to differ significantly in average sales? (Use
= 0.05)(C) What should the retailing manager conclude? Fully describe the retailing manager's options with respect to aisle locations?
Answer
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