A Local Consumer Reporter Wants to Compare the Average Costs

question 90

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

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

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Definitions:

National Defense

Activities and measures undertaken by a government to protect its country from external threats and ensure the safety of its citizens.

Government Expenditures

are the financial spending of government agencies on goods and services, including infrastructure, public welfare, and defense.

Real Federal Spending

Government expenditure adjusted for inflation, reflecting the actual purchasing power of spending.

19th Century

The period from January 1, 1801, to December 31, 1900, characterized by industrialization, colonization, and significant cultural and technological advancements.