a) A psychologist wishes to estimate the average reaction time to a stimulus among 200 patients in a hospital specializing in nervous disorders. How large a simple random sample should be taken in order to estimate the population mean reaction time with a maximum bound on the error of 1 second on the error of estimation; i.e. E=1 second. Take a=I seconds.
a) A psychologist wishes to estimate the average reaction time to a stimulus among 200 patients in a hospital specializing in nervous disorders. How large a simple random sample should be taken in order to estimate the population mean reaction time with a maximum bound on the error of 1 second on the error of estimation; i.e. E=1 second. Take a=I seconds.
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
![QUESTION 2
a) A psychologist wishes to estimate the average reaction time to a stimulus among 200 patients
in a hospital specializing in nervous disorders. How large a simple random sample should be
taken in order to estimate the population mean reaction time with a maximum bound on the
error of 1 second on the error of estimation; i.e. E=1 second. Take azl seconds.
b) A sampling frame lists 1000 open accounts. Suppose that a simple random sample of
size 200 open accounts gave a sample mean of R94.22 with standard deviation of
R21.10.
i)
Give the sampling fraction and comment in relation to the use of FPCF.
ii)
Estimate the average due for all 1000 open accounts.
i)
Estimate the standard error of the sample mean.
iv)
Estimate the total amount that is due for collection.
v)
Construct and interpret a 95% confidence interval for the population total amount
that is due for collection.
vi)
Give the bound on the error of estimation of the total](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6da3e1f5-1d8b-42cc-86ee-e1250ebe3c73%2F25d323c7-5a81-4818-81e1-edbab5140902%2Frz78sdp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 2
a) A psychologist wishes to estimate the average reaction time to a stimulus among 200 patients
in a hospital specializing in nervous disorders. How large a simple random sample should be
taken in order to estimate the population mean reaction time with a maximum bound on the
error of 1 second on the error of estimation; i.e. E=1 second. Take azl seconds.
b) A sampling frame lists 1000 open accounts. Suppose that a simple random sample of
size 200 open accounts gave a sample mean of R94.22 with standard deviation of
R21.10.
i)
Give the sampling fraction and comment in relation to the use of FPCF.
ii)
Estimate the average due for all 1000 open accounts.
i)
Estimate the standard error of the sample mean.
iv)
Estimate the total amount that is due for collection.
v)
Construct and interpret a 95% confidence interval for the population total amount
that is due for collection.
vi)
Give the bound on the error of estimation of the total
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 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