In a random sample of seven ​people, the mean driving distance to work was 25.4 miles and the standard deviation was 5.6 miles. Assuming the population is normally distributed and using the​ t-distribution, a 95​% confidence interval for the population mean μ is (20.2, 30.6) ​(and the margin of error is 5.2​). Through​ research, it has been found that the population standard deviation of driving distances to work is 4.8. Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a 95​% confidence interval for the population mean μ. Interpret and compare the results.       Question content area bottom Part 1 Identify the margin of error.   3.6   3.6 miles   ​(Round to one decimal place as​ needed.) Part 2 Construct a 95​% confidence interval for the population mean.   enter your response here   ,enter your response here   ​(Round to one decimal place as​ needed.)

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
seven
​people, the mean driving distance to work was
25.4
miles and the standard deviation was
5.6
miles. Assuming the population is normally distributed and using the​ t-distribution, a
95​%
confidence interval for the population mean
μ
is
(20.2, 30.6)
​(and the margin of error is
5.2​).
Through​ research, it has been found that the population standard deviation of driving distances to work is
4.8.
Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a
95​%
confidence interval for the population mean
μ.
Interpret and compare the results.
 
 
 

Question content area bottom

Part 1
Identify the margin of error.
 
3.6
 
3.6
miles
 
​(Round to one decimal place as​ needed.)
Part 2
Construct a
95​%
confidence interval for the population mean.
 
enter your response here
 
,enter your response here
 
​(Round to one decimal place as​ needed.)
Expert Solution
steps

Step by step

Solved in 2 steps

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