A marketing firm asked a random set of married and single men how much they were willing to spend for a vacation. At ${ } ^ { \star } = .05$, is a difference in the two amounts?
$\begin{array}{|l|c|c|}
\hline & \text { Married men } & \text { Single men } \
\hline \text { Sample size } & 80 & 60 \
\hline \text { Mean spending } & 380 & 325 \
\hline \text { Sample variance } & 6000 & 8000 \
\hline
\end{array}$

A) No, because the test value 0.26 is inside the interval (-1.96, 1.96)
B) Yes, because the test value 3.81 is outside the interval (-1.96, 1.96)
C) Yes, because the test value 1.33 is inside the interval (-1.96, 1.96)
D) No, because the test value 1.33 is outside the interval (-1.96, 1.96)

Question

A marketing firm asked a random set of married and single men how much they were willing to spend for a vacation. At ${ } ^ { \star } = .05$, is a difference in the two amounts?
$\begin{array}{|l|c|c|}
\hline & \text { Married men } & \text { Single men } \
\hline \text { Sample size } & 80 & 60 \
\hline \text { Mean spending } & 380 & 325 \
\hline \text { Sample variance } & 6000 & 8000 \
\hline
\end{array}$

A) No, because the test value 0.26 is inside the interval (-1.96, 1.96)
B) Yes, because the test value 3.81 is outside the interval (-1.96, 1.96)
C) Yes, because the test value 1.33 is inside the interval (-1.96, 1.96)
D) No, because the test value 1.33 is outside the interval (-1.96, 1.96)

Quizplus · Accepted Answer

The test value 3.81 is outside the interval (-1.96, 1.96), indicating a significant difference in spending between married and single men at the 0.05 significance level.

A Marketing Firm Asked a Random Set of Married and Single