A Marketing Firm Asked a Random Set of Married Women

Multiple Choice

A marketing firm asked a random set of married women and married men how much they were willing to spend for jewellery as a present for their spouse. Can the firm conclude, at , that
Each of the two groups has a different willingness to spend? (Use the unequal variances formula.)
$$\begin{array} { | l | c | c | } \hline & \text { Women } & \text { Men } \\\hline \text { Sample size } & 8 & 11 \\\hline \text { Mean spending amount } & 80 & 55 \\\hline \text { Sample variance } & 50 & 800 \\\hline\end{array}$$

A) No, because the test value 0.32 is inside the interval (-2.31, 2.31)
B) Yes, because the test value 2.81 is outside the interval (-2.36, 2.36)
C) Yes, because the test value 16.00 is inside the interval (-2.31, 2.31)
D) No, because the test value 16.00 is outside the interval (-2.36, 2.36)