[Solved] 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
Question: 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 | ||||
Deliverable: Word Document 