Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 17 mortgage institutions, the mean interest rate was 3.59% and the standard deviation was 0.44%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? O A. Use a normal distribution because the interest rates are normally distributed and a is known. O B. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed. O C. Use a normal distribution because n<30 and the interest rates are normally distributed. O D. Use a t-distribution because the interest rates are normally distributed and o is known. O E. Cannot use the standard normal distribution or the t-distribution because a is unknown, n<30, and the interest rates are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. The 90% confidence interval is (. ). (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below. O A. It can be said that 90% of institutions have an interest rate between the bounds of the confidence interval. O B. With 90% confidence, it can be said that the population mean interest rate is between the bounds of the confidence interval. O C. Ifa large sample of institutions are taken approximately 90% of them will have an interest rate between the bounds of the confidence interval. O D. Neither distribution can be used to construct the confidence interval. O Time Remaining: 01:2: