You may need to use the appropriate appendix table or technology to answer this question. A random sample of 121 checking accounts at a bank showed an average daily balance of $290. The standard deviation of the population is known to be $77. (a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain. No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped. No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution. No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution. Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately bell shaped. (b) Find the standard error of the mean (in dollars). (c) Give a point estimate of the population mean (in dollars). $
You may need to use the appropriate appendix table or technology to answer this question. A random sample of 121 checking accounts at a bank showed an average daily balance of $290. The standard deviation of the population is known to be $77. (a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain. No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped. No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution. No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution. Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately bell shaped. (b) Find the standard error of the mean (in dollars). (c) Give a point estimate of the population mean (in dollars). $
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
![You may need to use the appropriate appendix table or technology to answer this question.
A random sample of 121 checking accounts at a bank showed an average daily balance of $290. The standard deviation of the population is known to be $77.
(a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain.
No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution.
Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped.
No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution.
No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution.
Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately bell shaped.
(b) Find the standard error of the mean (in dollars).
(c) Give a point estimate of the population mean (in dollars).
$
(d) Construct an 80% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.)
to $
(e) Construct a 95% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.)
to $
Need Help?
Read It
Viewing Saved Work Revert to Last Response
Submit Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffe44e21-fe3e-4321-8a17-32cc68e1a437%2Fe16ffe5e-049e-4f20-a145-bf4a3e5f467b%2Fdsjysp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
A random sample of 121 checking accounts at a bank showed an average daily balance of $290. The standard deviation of the population is known to be $77.
(a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain.
No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution.
Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped.
No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution.
No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution.
Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately bell shaped.
(b) Find the standard error of the mean (in dollars).
(c) Give a point estimate of the population mean (in dollars).
$
(d) Construct an 80% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.)
to $
(e) Construct a 95% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.)
to $
Need Help?
Read It
Viewing Saved Work Revert to Last Response
Submit Answer
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman