Use the standard normal distribution or the t-distribution to construct a 99% 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 12 mortgage institutions, the mean interest rate was 3.49% and the standard deviation was 0.31%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? OA. Use a normal distribution because the interest rates are normally distributed and a is known. OB. Use a normal distribution because n <30 and the interest rates are normally distributed. OC. Use a t-distribution because the interest rates are normally distributed and a is known. OD. Use a t-distribution because it is a random sample, a is unknown, and the interest rates are normally distributed. OE. Cannot use the standard normal distribution or the t-distribution because o 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. QA. The 99% confidence interval is (Round to two decimal places as needed) B. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use the standard normal distribution or the t-distribution to construct a 99% 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 12 mortgage institutions, the mean interest rate was 3.49% and the standard deviation was
0.31%. Assume the interest rates are normally distributed.
Which distribution should be used to construct the confidence interval?
OA. Use a normal distribution because the interest rates are normally distributed and o is known.
OB. Use a normal distribution because n < 30 and the interest rates are normally distributed.
OC. Use a t-distribution because the interest rates are normally distributed and σ is known.
OD. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally
distributed.
OE. Cannot use the standard normal distribution or the t-distribution because o 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.
A. The 99% confidence interval is (
(Round to two decimal places as needed)
OB. Neither distribution can be used to construct the confidence interval.
Interpret the results. Choose the correct answer below.
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Transcribed Image Text:← Use the standard normal distribution or the t-distribution to construct a 99% 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 12 mortgage institutions, the mean interest rate was 3.49% and the standard deviation was 0.31%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? OA. Use a normal distribution because the interest rates are normally distributed and o is known. OB. Use a normal distribution because n < 30 and the interest rates are normally distributed. OC. Use a t-distribution because the interest rates are normally distributed and σ is known. OD. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed. OE. Cannot use the standard normal distribution or the t-distribution because o 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. A. The 99% confidence interval is ( (Round to two decimal places as needed) OB. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below. hp insert Next 36°C Partly sunny delete
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