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
icon
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
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 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