A Reporter Bought Hamburgers at Randomly Selected Stores of Two $\alpha = 0.05$

question 24

Multiple Choice

A reporter bought hamburgers at randomly selected stores of two different restaurant chains, and had the number of Calories in each hamburger measured. Can the reporter conclude, at $\alpha = 0.05$ , that the hamburgers from the two chains have a different number of Calories?
$\begin{array}{lcc}\hline & \text { Chain A } & \text { Chain B } \\\hline \text { Sample size } & 7 & 8 \\\text { Sample mean } & 280 \mathrm{Cal} & 315 \mathrm{Cal} \\\text { Sample standard deviation } & 23 \mathrm{Cal} & 27 \mathrm{Cal} \\\hline\end{array}$

• A) No, because the test value \(- 1.17\) is inside the noncritical region \(- 2.262 < t < 2.262\)
• B) Yes, because the test value \(- 0.21\) is inside the noncritical region \(- 2.447 < t < 2.447\)
• C) No, because the test value \(- 0.21\) is inside the noncritical region \(- 2.262 < t < 2.262\)
• D) Yes, because the test value \(- 2.71\) is outside the noncritical region \(- 2.447 < t < 2.447\)

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