The retailing manager wants to determine whether product location has any effect on the sale of products or its only Brand Spinney’s which has an impact. Three different locations are considered:...

The retailing manager wants to determine whether product location has any effect on the sale of products or its only Brand Spinney’s which has an impact. Three different locations are considered: Location A, Location B and Location C. 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 the one-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as shown:

1. At the 0.05 level of significance, is there evidence of a significant difference in average sales among the various locations? Why (statistically)
   
   
   
   


2. To test at the 0.05 level of significance whether the average sales volumes in thousands of dollars are different across the three store locations, you need to conduct a test, also clearly mention Null and Alternative hypothesis
   
   
   
   


3. Your decision? If appropriate, which locations appear to differ significantly in average sales? (Use = 0.05), what should the retailing manager conclude? Fully describe the retailing manager’s options with respect to various locations?