1.a consumer organization wants to know if there is a difference in

1.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

   

Discount Toys

13.2

5

1.3

   

Variety

16.2

5

1.64

   

Department

18.2

5

1.64

   

Total

15.9

15

2.56

 

 

 

 

 

   

ANOVA table

 

 

 

 

 

Source

SS

df

MS

F

p-value

Treatment

63.33

2

31.667

13.38

0.0009

Error

28.4

12

2.367

 

 

Total

91.73

14

 

 

 

 

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