Discount toy Variety Department and ANOVA table, homework help

  

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

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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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