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A Marketing Firm Asked a Random Set of Married and Single

Question 42

Multiple Choice

A marketing firm asked a random set of married and single men how much they were willing to spend on a vacation. Is there sufficient evidence at α=0.05\alpha = 0.05 to conclude that is there a difference in the two amounts?
 Married Men  Single Men  Sample size 7070 Sample mean $880$825 Population variance 57007900\begin{array}{lcc}\hline & \text { Married Men } & \text { Single Men } \\\hline \text { Sample size } & 70 & 70 \\\text { Sample mean } & \$ 880 & \$ 825 \\\text { Population variance } & 5700 & 7900 \\\hline\end{array}


A) Yes, because the test value 3.953.95 is outside the critical region 1.96<z<1.96- 1.96 < z < 1.96 .
B) Yes, because the test value 1.391.39 is inside the critical region 1.96<z<1.96- 1.96 < z < 1.96 .
C) No, because the test value 0.280.28 is inside the critical region 1.96<z<1.96- 1.96 < z < 1.96 .
D) No, because the test value 1.391.39 is outside the critical region 1.96<z<1.96- 1.96 < z < 1.96 .

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