A Local Consumer Reporter Wants to Compare the Average Costs

question 51

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.
$\begin{array}{lrrrrr}\text { Source } & \text { df } & \text { Anova SS } & \text { Mean Square } & \text { F Value } & \text { Pr }>\text { F } \\\hline \text { Supermkt } & 2 & 2.6412678 & 1.3206399 & 39.23 & 0.0001 \\\text { Item } & 59 & 215.5949311 & 3.6541514 & 108.54 & 0.0001 \\\text { Error } & 118 & 3.9725322 & 0.0336655 & & \\\hline \text { Corrected Total } & 179 & 222.2087311 & & & \\\hline\end{array}$

What is the value of the test statistic for determining whether the three supermarkets have the same average prices?

• A) \(108.54\)
• B) \(1.3206\)
• C) \(39.23\)
• D) \(0.0001\)

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Definitions:

Conversion Reaction

A psychological condition where emotional distress or unconscious conflict is expressed through physical symptoms.

Posttraumatic Stress Disorder

A psychiatric disorder that can occur in people who have experienced or witnessed a traumatic event such as a natural disaster, a serious accident, a terrorist act, war/combat, rape, or other violent personal assault.

Opponent-Process Reaction

A theory suggesting that emotions are regulated by mechanisms that operate in opposing pairs; for example, an increase in happiness leads to a decrease in sadness.

General Adaptation Syndrome

describes the three-stage process (alarm, resistance, exhaustion) that the body undergoes while responding to stress, as identified by Hans Selye.