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A CONSUMER ORGANIZATION WANTS TO KNOW IF THERE IS A DIFFERENCE

A CONSUMER ORGANIZATION WANTS TO KNOW IF THERE IS A DIFFERENCE

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Author: Christine Farr
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Please answer all three questions and show the work. Thank you
A consumer organization wants to know if there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount toy stores, five variety stores, and five department stores. The results are shown below.
Discount toy

Variety

Department

$12

15

19

13

17

17

14

14

16

12

18

20

15

17

19

An ANOVA was run and the results are shown below. At the .05 significance level, is there a difference in the mean prices between the three stores? What is the p-value? Explain why an ANOVA was used to analyze this problem.
 
One factor ANOVA

 
Mean

n

Std. Dev

 
13.2

5

1.30

Discount Toys

16.2

5

1.64

Variety

18.2

5

1.64

Department

 
15.9

15

2.56

Total

 
ANOVA table

 
Source

SS

df

MS

F

p-value

Treatment

63.33

2

31.667

13.38

.0009

Error

28.40

12

2.367

Total

91.73

14

 
 


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