A simple random sample with n = 58 provided a sample mean of 23.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean. 23.6 to 23.4 (b) Develop a 95% confidence interval for the population mean. to (c) Develop a 99% confidence interval for the population mean. to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a wider confidence interval. O As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a wider confidence interval.
A simple random sample with n = 58 provided a sample mean of 23.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean. 23.6 to 23.4 (b) Develop a 95% confidence interval for the population mean. to (c) Develop a 99% confidence interval for the population mean. to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a wider confidence interval. O As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a wider confidence interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Confidence Interval and Margin of Error**
You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample with \( n = 58 \) provided a sample mean of \( 23.5 \) and a sample standard deviation of \( 4.4 \). (Round your answers to one decimal place.)
**(a)** Develop a 90% confidence interval for the population mean.
\[ 23.6 \text{ to } 23.4 \]
**(b)** Develop a 95% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(c)** Develop a 99% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(d)** What happens to the margin of error and the confidence interval as the confidence level is increased?
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a wider confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a wider confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2214e4ab-0c78-4aff-ad5b-f1d0321d389f%2F2df10873-3ae4-4ef1-89c1-6e60264f4263%2Fa0w252_processed.png&w=3840&q=75)
Transcribed Image Text:**Confidence Interval and Margin of Error**
You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample with \( n = 58 \) provided a sample mean of \( 23.5 \) and a sample standard deviation of \( 4.4 \). (Round your answers to one decimal place.)
**(a)** Develop a 90% confidence interval for the population mean.
\[ 23.6 \text{ to } 23.4 \]
**(b)** Develop a 95% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(c)** Develop a 99% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(d)** What happens to the margin of error and the confidence interval as the confidence level is increased?
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a wider confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a wider confidence interval.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 11 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman