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A Local Consumer Reporter Wants to Compare the Average Costs

question 90

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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} { l r r r r r } \text { Source } & \text { df } & \text { Anova SS } & \text { Mean Square } & \text { F Value } & \operatorname { Pr } > \mathrm { 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 & & \\\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:

Sensory Input

Information that the body gathers from the environment via the senses, including sight, sound, touch, taste, and smell.

Stereotype Threat

The thought in a person’s mind that one’s appearance or behavior will be misread to confirm another person’s oversimplified, prejudiced attitudes.

Ageist Beliefs

Ageist beliefs are prejudicial views and stereotypes that are based on the age of an individual, often leading to discrimination.

Without Glasses

Refers to the condition or moment when an individual who typically needs corrective lenses is not wearing them, potentially affecting vision clarity.

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