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

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 $- 2.447 < t < 2.447$