The waiting times​ (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 3.6 minutes. Construct a confidence interval for the population variance σ2 and the population standard deviation σ. Use a 99% level of confidence. Assume the sample is from a normally distributed population. a) The confidence interval for the population variance σ2​ is b) The confidence interval for the population standard deviation σ is The probability that the​ c-confidence interval contains σ is c. Use this information and the confidence interval found in the previous step to interpret the result.

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

The waiting times​ (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 3.6 minutes. Construct a confidence interval for the population variance σ2 and the population standard deviation σ. Use a 99% level of confidence. Assume the sample is from a normally distributed population.

a) The confidence interval for the population variance σ2​ is

b) The confidence interval for the population standard deviation σ is

The probability that the​ c-confidence interval contains σ is c. Use this information and the confidence interval found in the previous step to interpret the result.

Expert Solution
trending now

Trending now

This is a popular solution!

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