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A Local Consumer Reporter Wants to Compare the Average Costs

Question 46

Multiple Choice

A local consumer reporter wants to compare the average costs of grocery items purchased at three different supermarkets, A, B, and C. Prices (in dollars) were recorded for a sample of 60 randomly selected grocery items at each of the three supermarkets. In order to reduce item-to-item variation,
The prices were recorded for each item on the same day at each supermarket.
The results of the ANOVA test are summarized in the following table.

 Source  df  Anova SS  Mean Square  F Value  Pr > F  Supermkt 22.64126781.320639939.230.0001 Item 59215.59493113.6541514108.540.0001 Error 1183.97253220.0336655 Corrected Total 179222.2087311\begin{array} { l r r r r r } \text { Source } & \text { df } & \text { Anova SS } & \text { Mean Square } & \text { F Value } & \text { Pr > F } \\\text { Supermkt } & 2 & 2.6412678 & 1.3206399 & 39.23 & 0.0001 \\\text { Item } & 59 & 215.5949311 & 3.6541514 & 108.54 & 0.0001 \\\text { Error } & 118 & 3.9725322 & 0.0336655 & & \\\text { Corrected Total } & 179 & 222.2087311 & & & \\\hline\end{array} What is the value of the test statistic for determining whether the three supermarkets have the sam average prices?


A) 0.0001
B) 108.54
C) 1.3206
D) 39.23

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