13. A mortgage broker is offering home mortgages at a rate of 9.5%, but the broker is fearful that this value is higher than many others are charging. A sample of 40 mortgages filed in the county courthouse shows an average of 9.25% with a standard deviation of 8.61%. Does this sample indicate a smaller average? Use = 0.05 and assume a normally distributed population.

A. No, because the test statistic is -1.85 and falls in the rejection region.

B. Yes, because the test statistic is greater than -1.645.

C. No, because the test statistic falls in the acceptance region.

D. Yes, because the sample mean of 9.25 is below 9.5.