Shelf height may affect the volume of sales for a product. In order to determine

Question

Shelf height may affect the volume of sales for a product. In order to determine whether or not. there is any effect on average sales due to product shelf height, a marketing consultant chooses four typical outlets, a supermarket, a drug store, a discount store, and a variety store, and for one week places the product chosen at one eye level. A resting week follows and the product is moved to another height and so on for three different heights. The number of units sold per week at each location and height are shown below followed by their analysis. What is the average number of units sold in a supermarket (rounded to the nearest thousandth)? 12.333 48.250 59.667 60.917 What is the average number of units sold from a shelf level below (rounded to the nearest thousandth)? 12.333 48.250 59.667 60.917 What is S_r^2 (rounded to the thousandths place)? 2.111 8.333 10.333 12.333 To test whether there are any differences across types of stores. What test statistic would you use(rounded to the nearest thousandth)? 4.757 5.143 17.52657.092 To test whether there are any differences across shelf levels What critical bound would you use at the 95% level (rounded to the nearest thousandth)? 4.757 5.143 17.526 57.092

Explanation / Answer

14) Average units sold in a supermarket is = 179/3 = 59.667 (Option c).

15) Average number of units sold from a shelf level below = 193/4 = 48.25 (Option b).

16) What is Sr2(mean square of error) = 2.111 (Option a).

17) Test statistic to be used for across types of stores is the F value for the rows = 57.092 (Option d).

18) The critical value across shelf levelsis the Fcritical for the columns = 5.143 (Option b).

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