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[answered] A consumer preference study compares the effects of three d


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A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular fabric softener.

 

A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these

 

supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded.

 

The data obtained are displayed in the following table. Bottle Design Study Data

 

A

 

B

 

C

 

18

 

31

 

28

 

13

 

31

 

25

 

14

 

29

 

22

 

13

 

29

 

26

 

15

 

29

 

20 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY

 

Groups Count Sum AverageVariance

 

Design A 5

 

73

 

14.6

 

4.3

 

Design B 5 149

 

29.8

 

1.2

 

Design C 5 121

 

24.2

 

10.2 ANOVA

 

Source of Variation

 

SS

 

df

 

Between Groups

 

590.9333

 

2

 

Within Groups

 

62.8 12.0

 

Total

 

653.7333

 

14 MS

 

F

 

P-Value F crit

 

295.4667 56.463.23E-063.88529

 

5.2333

 


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