A Reporter Bought a Hamburger at Each of a Set $\ddagger=.05,$

question 17

Multiple Choice

A reporter bought a hamburger at each of a set of random stores of two different restaurant chains. She then had the number of calories in each hamburger measured. Can the reporter conclude, at $\ddagger=.05,$ that the two sets of hamburgers have different amounts of calories? (Use the equal variances formula.)
$$\begin{array} { | l | c | c | } \hline & \text { Women } & \text { Men } \\\hline \text { Sample size } & 7 & 8 \\\hline \text { Mean spending amount } & 80 & 95 \\\hline \text { Sample variance } & 400 & 800 \\\hline\end{array}$$

• A) No, because the test value -0.09 is inside the interval (-2.14, 2.14)
• B) No, because the test value -0.09 is inside the interval (-2.16, 2.16)
• C) No, because the test value -1.17 is inside the interval (-2.16, 2.16)
• D) No, because the test value -2.00 is inside the interval (-2.16, 2.16)

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Definitions:

Regression Analysis

A statistical process for estimating the relationships among variables, often to determine the effect of one or more independent variables on a dependent variable.

Least Squares Line

A line of best fit determined by minimizing the sum of squares of the differences between observed and predicted values in regression analysis.

Weight

A measure of the heaviness or mass of an object or individual.

Coefficient Of Determination

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s), indicating the strength of the relationship.