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

Question 26

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 α=0.05\alpha = 0.05 , that the two groups have a different willingness to spend?
 Women  Men  Sample size 916 Sample mean $160$205 Sample standard deviation $34$38\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- 0.21 is inside the noncritical region 2.262<t<2.262- 2.262 < t < 2.262
B) Yes, because the test value 3.04- 3.04 is outside the noncritical region 2.306<t<- 2.306 < t <
C) No, because the test value 1.12- 1.12 is outside the noncritical region 2.306<t<2.306- 2.306 < t < 2.306
D) Yes, because the test value 1.12- 1.12 is inside the noncritical region 2.262<t<2.262- 2.262 < t < 2.262

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