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The retailing manager of a supermarket chain wants to determine whether product location has any effect...

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Statistics

The retailing manager of a supermarket chain wants to determinewhether product location has any effect on the sale of pet toys.Three different aisle locations are considered: front, middle, andrear. A random sample of 18 stores is selected with 6 storesrandomly assigned to each aisle location. The size of the displayarea and price of the product are constant for all stores. At theend of a 1-month trial period, the sales volumes (in thousands ofdollars) of the product in each store were as follows:

                  Aisle Location

Front             Middle                 Rear

8.8                   3.4                      4.6

7.4                   2.6                      6.0

5.6                   2.2                      4.0

6.4                   1.6                      2.8

5.2                   2.0                      2.2

4.2                   1.8                      2.8

  1. At the 0.05 level of significance, is there evidence of asignificant difference in mean sales among the various aislelocations?
  1. What should the retailing manager conclude?

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