A Local Consumer Reporter Wants to Compare the Average Costs

question 72

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. $$\begin{array} { c l r c c } \hline & { \text { Item } } & \mathrm { A } & \mathrm { B } & \mathrm { C } \\\hline \text { 1) } & \text { paper towels } & 1.21 & 1.41 & 1.36 \\\text { 2) } & \text { cereal } & 2.81 & 3.26 & 3.01 \\\text { 3) } & \text { floor cleaner } & 6.03 & 5.91 & 6.92 \\\text { | } & \text { | } &\text { | } &\text { | } &\text { | } \\\text { 59) } & \text { shaving cream } & 1.09 & 0.99 & 1.05 \\\text { 60) } & \text { canned green beans } & 0.45 & 0.60 & 0.37 \\\hline\end{array}$$ Identify the blocks for this experiment.

• A) the 60 grocery items
• B) the three supermarkets
• C) the 60 × 3 = 180 prices
• D) the day on which the data were collected

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Definitions:

Correlation Coefficient

A statistical measure that indicates the extent to which two variables fluctuate together. A positive correlation indicates that as one variable increases, the other does too, and vice versa for a negative correlation.

Correlation Coefficients

Statistical measures that quantify the degree to which two variables are related, indicating the strength and direction of a relationship.

Sexual Harassment

Unwelcome sexual advances, requests for sexual favors, and other verbal or physical harassment of a sexual nature.

Illusory Correlation

The perception of a relationship between two variables when no such relationship exists or the perception is stronger than the actual relationship.