A filmologist is currently writing a report about feature films in the late 2010s. As a part of his research, the filmologist would like to estimate the mean length of feature films in the late 2010s. A random sample of 208 feature films from the 2010s was selected and the average of the sample was found to be 100 minutes. Suppose the standard deviation of the lengths of all feature films in the late 2010s is known to be 8.1 minutes. Find three different confidence intervals - one with a 98% confidence level, one with a 96% confidence level, and one with a 95% confidence level - for the average length of all feature films in the late 2010s. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Round solutions to three decimal places, if necessary. • The margin of error for a 98% confidence interval is given by E = A 98% confidence interval is given by • The margin of error for a 96% confidence interval is given by E = A 96% confidence interval is given by • The margin of error for a 95% confidence interval is given by E = A 95% confidence interval is given by

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
100%
#7). Need help solving.
A filmologist is currently writing a report about feature films in the late 2010s. As a part of his research,
the filmologist would like to estimate the mean length of feature films in the late 2010s. A random sample
of 208 feature films from the 2010s was selected and the average of the sample was found to be 100
minutes.
Suppose the standard deviation of the lengths of all feature films in the late 2010s is known to be 8.1
minutes. Find three different confidence intervals - one with a 98% confidence level, one with a 96%
confidence level, and one with a 95% confidence level - for the average length of all feature films in the
late 2010s. Notice how the confidence level affects the margin of error and the width of the interval.
Report confidence interval solutions using interval notation. Round solutions to three decimal places, if
necessary.
• The margin of error for a 98% confidence interval is given by E =
A 98% confidence interval is given by
• The margin of error for a 96% confidence interval is given by E =
A 96% confidence interval is given by
• The margin of error for a 95% confidence interval is given by E =
A 95% confidence interval is given by
Transcribed Image Text:A filmologist is currently writing a report about feature films in the late 2010s. As a part of his research, the filmologist would like to estimate the mean length of feature films in the late 2010s. A random sample of 208 feature films from the 2010s was selected and the average of the sample was found to be 100 minutes. Suppose the standard deviation of the lengths of all feature films in the late 2010s is known to be 8.1 minutes. Find three different confidence intervals - one with a 98% confidence level, one with a 96% confidence level, and one with a 95% confidence level - for the average length of all feature films in the late 2010s. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Round solutions to three decimal places, if necessary. • The margin of error for a 98% confidence interval is given by E = A 98% confidence interval is given by • The margin of error for a 96% confidence interval is given by E = A 96% confidence interval is given by • The margin of error for a 95% confidence interval is given by E = A 95% confidence interval is given by
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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