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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 |
|||
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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