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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
- 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 |
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Mean | n | Std. Dev |
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| 13.2 | 5 | 1.30 | Discount Toys |
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| 16.2 | 5 | 1.64 | Variety |
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| 18.2 | 5 | 1.64 | Department |
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15.9 | 15 | 2.56 | Total |
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ANOVA table |
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Source | SS | df | MS | F | p-value |
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Treatment | 63.33 | 2 | 31.667 | 13.38 | .0009 |
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Error | 28.40 | 12 | 2.367 |
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Total | 91.73 | 14 |
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