A shoe retailer conducted a study to determine whether there is a difference in the number of pairs of shoes sold per day by stores according to the number of competitors within a 1-mile radius and the location of the store. The company researchers selected three types of stores for consideration in the study: stand-alone suburban stores, mall stores, and downtown stores. These stores vary in the numbers of competing stores within a 1-mile radius, which have been reduced to four categories: 0 competitors, 1 competitor, 2 competitors, and 3 or more competitors. Suppose the following data represent the number of pairs of shoes sold per day for each of these types of stores with the given number of competitors.

Use α = .05 and a two-way ANOVA to analyze thedata.

Number of Competitors 0 3 or more Stand-Alone 41 30 45 25 31 38 31 39 29 35 30 59 48 51 47 40 39 43 42 53 24 27 32 Store Location Mall 48 50 29 28 26 Downtown 18 29 17 25