A Marketing Firm Asked a Random Set of Married Women $\alpha = 0.05$

Multiple Choice

A marketing firm asked a random set of married women and married men how much they were willing to spend for jewelry as a present for their spouse. Can the firm conclude, at $\alpha = 0.05$ , that the two groups have a different willingness to spend?
$\begin{array}{lcc}\hline & \text { Women } & \text { Men } \\\hline \text { Sample size } & 9 & 16 \\\text { Sample mean } & \$ 160 & \$ 205 \\\text { Sample standard deviation } & \$ 34 & \$ 38\end{array}$

A) No, because the test value $- 0.21$ is inside the noncritical region $- 2.262 < t < 2.262$
B) Yes, because the test value $- 3.04$ is outside the noncritical region $- 2.306 < t <$
C) No, because the test value $- 1.12$ is outside the noncritical region $- 2.306 < t < 2.306$
D) Yes, because the test value $- 1.12$ is inside the noncritical region $- 2.262 < t < 2.262$