In a random sample of five people, the mean driving distance to work was 21.3 miles and the standard deviation was 7.1 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (6.7, 35.9) (and the margin of error is 14.6). Through research, it has been found that the population standard deviation of driving distances to work is 8.5. Using the standard normal distribution with the appropriate calculations for a standard deviation that known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. (Round one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. OB. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. O C. % of all random samples five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OD. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. Compare these results to the results that used the t-distribution. The new confidence interval is the confidence interval that used the t-distribution and has center.

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
In a random sample of five people, the mean driving distance to work was 21.3 miles and the standard deviation was 7.1 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the
population mean µ is (6.7, 35.9) (and the margin of error is 14.6). Through research, it has been found that the population standard deviation of driving distances to work is 8.5. Using the standard normal distribution with the appropriate
calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results.
Identify the margin of error.
(Round to one decimal place as needed.)
Construct a 99% confidence interval for the population mean.
(Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
A. With
% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
B. With
% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
C. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
D. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
Compare these results to the results that used the t-distribution.
center.
The new confidence interval is
the confidence interval that used the t-distribution and has
Transcribed Image Text:In a random sample of five people, the mean driving distance to work was 21.3 miles and the standard deviation was 7.1 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean µ is (6.7, 35.9) (and the margin of error is 14.6). Through research, it has been found that the population standard deviation of driving distances to work is 8.5. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. B. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. C. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. D. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. Compare these results to the results that used the t-distribution. center. The new confidence interval is the confidence interval that used the t-distribution and has
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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