A Local Consumer Reporter Wants to Compare the Average Costs

question 8

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 are summarized in the following table. $$\begin{array} { l r r r r r } \text { Source } & \text { df } & \text { Anova SS } & \text { Mean Square } & \text { F Value } & \operatorname { Pr } > \mathrm { F } \\\hline \text { Supermkt } & 2 & 2.6412678 & 1.3206399 & 39.23 & 0.0001 \\\text { Item } & 59 & 215.5949311 & 3.6541514 & 108.54 & 0.0001 \\\text { Error } & 118 & 3.9725322 & 0.0336655 & & \\\text { Corrected Total } & 179 & 222.2087311 & & & \\\hline\end{array}$$ Based on the p-value of the test, make the proper conclusion.

• A) There is sufficient evidence (at ? = .01) to indicate differences among the mean prices of grocery items at the three supermarkets.
• B) There is insufficient evidence (at ? = .01) to indicate differences among the mean prices of grocery items at the three supermarkets.
• C) There is sufficient evidence (at ? = .01) to indicate that the mean prices of grocery items at the three supermarkets are identical.
• D) No conclusions can be drawn from the given information.

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Definitions:

Intrinsic Motivation

is the internal drive to perform an activity for its own sake, deriving pleasure and satisfaction from the activity itself rather than external rewards.

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, or praise, rather than for the inherent enjoyment of the activity itself.

Emotional Regulation

The skill of handling and reacting to feelings in a constructive and beneficial way.

Emotional Regulation

The ability to manage and respond to an emotional experience in a healthy and productive manner.