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A Bond Analyst Is Analyzing the Interest Rates for Equivalent α=0.05\alpha = 0.05

Question 5

Multiple Choice

A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states. At α=0.05\alpha = 0.05 , is there enough evidence to conclude that there is a difference in the interest rates paid by the two states?
 State A  State B  Sample size 6040 Mean interest rate (%)  3.53.9 Population variance 0.020.04\begin{array}{lcc}\hline & \text { State A } & \text { State B } \\\hline \text { Sample size } & 60 & 40 \\\text { Mean interest rate (\%) } & 3.5 & 3.9 \\\text { Population variance } & 0.02 & 0.04 \\\hline\end{array}


A) No, because the test value 0.02- 0.02 is inside the critical region 1.96<z<1.96- 1.96 < z < 1.96
B) Yes, because the test value 120.00120.00 is outside the critical region 1.96<z<1.96- 1.96 < z < 1.96
C) Yes, because the test value 3.00- 3.00 is outside the critical region 1.96<z<1.96- 1.96 < z < 1.96
D) Yes, because the test value 10.95- 10.95 is outside the critical region 1.96<z<1.96- 1.96 < z < 1.96

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