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
|
|
|
|