The retailing manager of a supermarket chain wants to determine whether product situation 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 chosen, with six stores randomly assigned to each and every aisle location. The size of display area and price of product are stable for all stores. At end of one-month trial period, the sales volumes (in thousands of dollars) of product in each and every store were as follows.
|
Aisle Location
|
|
Front
|
Middle
|
Rear
|
|
8.6
|
3.2
|
4.6
|
|
7.2
|
2.4
|
6.0
|
|
5.4
|
2.0
|
4.0
|
|
6.2
|
1.4
|
2.8
|
|
5.0
|
1.8
|
2.2
|
|
4.0
|
1.6
|
2.8
|
- At the 0.05 level of significance, is there evidence of significant difference in mean sales among many aisle locations?
- If appropriate, which aisle locations appear to differ significantly in mean sales?
- At 0.05 level of importance, is there evidence of significant difference in variation in sales among the many aisle locations?
- What should the retailing manager conclude? Describe the retailing manager's options with respect to aisle locations.