Question

Does brand and location of the product increase sales? A market researcher designs an experiment to see if the

brand and location of chewing gum in a grocery store have anything to do with the average volume of gum sales.

Six brands of chewing gum are moved to four different locations within a store. The gum sale results can be

found in the excel file. Important Information to know:

Run all tests at the 5% significance level. When running a chi square test for association, you MUST check off “each cell’s contribution to Chi-Square” in MiniTab (this is found by selecting “statistics” when in the test dialog box). If using Excel you must complete these by hand within excel. When running a one-way or two-way ANOVA test, also perform a Fisher’s LSD comparison test for significant factors, at the 5% significance level. ChewingGum. Run the appropriate tests and place the screen shot of your minitab or excel output below.

Brand

Location

Sales

A

Front

150

B

Front

156

C

Front

203

D

Front

183

E

Front

147

F

Front

190

A

Back

58

B

Back

62

C

Back

89

D

Back

73

E

Back

46

F

Back

83

A

Left

111

B

Left

98

C

Left

117

D

Left

118

E

Left

101

F

Left

113

A

Right

130

B

Right

117

C

Right

105

D

Right

113

E

Right

114

F

Right

115

Answer 1

We conduct Anova: Two Way

Factor Information

Factor Type Levels Values
Brand Fixed 6 A, B, C, D, E, F
Location Fixed 4 Back, Front, Left, Right

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Brand 5 2177 435.5 2.53 0.075
Location 3 32258 10752.6 62.51 0.000
Error 15 2580 172.0
Total 23 37015

Model Summary

S R-sq R-sq(adj) R-sq(pred)
13.1157 93.03% 89.31% 82.15%

p-value of Brand = 0.075 > alpha

hence there is not significant difference in Brand

p-value of Location = 0.000 < alpha

hence there is significant difference in Location