Q1) Retailing manager of the supermarket chain wishes to find out whether product location has any effect on sale of pet toys. 3 various aisle locations are considered: front, middle, and rear. Random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. Size of display area and price of product are constant for all stores. At the end of a one-month trial period, sales volumes (in thousands of dollars) of product in each 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
|
i) At the 0.05 level of significance, is there evidence of the significant difference in mean sales among different aisle locations?
ii) If suitable, which aisle locations appear to vary significantly in mean sales?
iii) At 0.05 level of significance, is there evidence of noteworthy difference in variation in sales among different aisle locations?
iv) What must retailing manager conclude? Explain retailing manager's options with respect to aisle locations.