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 (round to the nearest thousandth)? 12.333 48.250 59.667 60.917 What is s^2_p (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 17.526 57.092 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.

The average no of units sold in a supermarket is: c) 59.667

(it is obtained from the summary table - under average)

15.

The average number of units sold from a shelf level below is: b) 48.250

(it is obtained from the summary table - under average)

16.

se2 or sr2: is the mean sum of squares of residuals or the mean residual sum of squares: a) 2.111.

(It is obtained from the ANOVA table under MS (Mean sum of squares) of Error. )

17.

The types of stores are given as rows. So the test statistic to check if there are any differences across types of stores is: d) 57.092.

(It is obtained from tha Anova table under F of the rows).

18.

The shelf levels are given as columns. So the critical boud to check if there are any differences across shelf levels are: b) 5.143.

(It is obtained from the Anova table under F crit in the columns. )

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