Part 2 of 3 O Points: U OT I 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 16 mortgage institutions, the mean interest rate was 3.52% and the standard deviation was 0.34%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? GA. Use a normal distribution because n<30 and the interest rates are normally distributed. 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 t-distribution because the interest rates are normally distributed and o is known. O D. Use a normal 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 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. O A. The 99% confidence interval is ( ). (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval. (1,1) More Clear a

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Part 2 of 3
Points: U of 1
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 16 mortgage institutions, the mean interest rate was 3.52% and the standard deviation was 0.34%. Assume the interest rates are normally distributed.
Which distribution should be used to construct the confidence interval?
GA. Use a normal distribution becausen<30 and the interest rates are normally distributed.
CB. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed.
O C. Use a t-distribution because the interest rates are normally distributed and o is known.
O D. Use a normal 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 99% confidence interval is (.).
(Round to two decimal places as needed.)
O B. Neither distribution can be used to construct the confidence interval.
Vi
(1,1)
More
Clear a
View an example
Get more help -
Help me solve this
MacBook Air
F7
80
F6
F4
F3
esc
&
%
8
5
6
Transcribed Image Text:Part 2 of 3 Points: U of 1 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 16 mortgage institutions, the mean interest rate was 3.52% and the standard deviation was 0.34%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? GA. Use a normal distribution becausen<30 and the interest rates are normally distributed. CB. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed. O C. Use a t-distribution because the interest rates are normally distributed and o is known. O D. Use a normal 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 99% confidence interval is (.). (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval. Vi (1,1) More Clear a View an example Get more help - Help me solve this MacBook Air F7 80 F6 F4 F3 esc & % 8 5 6
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman