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A Local Consumer Reporter Wants to Compare the Average Costs

question 51

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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}{lrrrrr}\text { Source } & \text { df } & \text { Anova SS } & \text { Mean Square } & \text { F Value } & \text { Pr }>\text { F } \\\hline \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 & & \\\hline \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 same average prices?


Definitions:

Functional Approach

A methodology in business or research that focuses on the specific roles and activities within a system or organization.

Universal Process Approach

A methodology that assumes all businesses undergo similar processes and therefore can be improved or optimized through a set of standardized practices.

Behavioral Approach

A study or method focusing on observable behaviors and the ways in which learning occurs through interactions with the environment.

Risky R&D

Research and development activities characterized by high levels of uncertainty and potential for failure, but also the possibility of significant rewards.

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