# Need statistics help with a consumer organization

Jan 8th, 2016
Anonymous
Category:
Mathematics
Price: \$5 USD

Question description

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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