Statistics
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The retailing manager of a supermarket chain wants to determine whether product location has any effect on the sale of pet 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 stores. At the end of a one month trial period, the sales volumes (in thousands of dollars) of the product in each store were as follows:
Front Aisle Location: 8.6, 7.2, 5.4, 6.2, 5.0, 4.0
Middle Aisle Location: 3.2, 2.4, 2.0, 1.4, 1.8, 1.6
Rear Aisle Location: 4.6, 6.0, 4.0, 2.8, 2.2, 2.8
a. At the 0.05 level of significance, is there evidence of a significant difference in mean sales among the various aisle locations?
b. If appropriate, which aisle locations appear to differ significantly in mean sales?
c. n/a
d. What should the retailing manager conclude? Fully describe the retailing manager's options with respect to aisle locations.
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