The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively. a. Find a 99% confidence interval for μ if n = 121. b. Find a 99% confidence interval for μ if n = 484. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence interval for p if n = 121 is approximately ( (Round to three decimal places as needed.) CI

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 mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively.
a. Find a 99% confidence interval for μ if n = 121.
b. Find a 99% confidence interval for u if n = 484.
c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence
coefficient fixed?
a. The 99% confidence interval for μ if n = 121 is approximately
(Round to three decimal places as needed.)
C...
Transcribed Image Text:The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively. a. Find a 99% confidence interval for μ if n = 121. b. Find a 99% confidence interval for u if n = 484. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence interval for μ if n = 121 is approximately (Round to three decimal places as needed.) C...
Expert Solution
Step 1: Determine the given information

For the provided sample information, it is obtained that:

The sample mean, x¯=34.7.

The sample standard deviation, s=3.2

As the true standard deviation is unspecified, in order to obtain (1α)% confidence interval, the t-critical value is to be used. 




steps

Step by step

Solved in 3 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