b. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean? (to 4 decimals) c. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within week of the population mean? (to 4 decimals) 4

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
Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all
unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3.5
weeks. Suppose you would like to select a random sample of 55 unemployed individuals for a follow-up study. Use z-table.
a. Show the sampling distribution of , the sample mean average for a sample of 55 unemployed individuals.
E(7)
σy =
18.5 (to 1 decimal)
4719 (to 4 decimals)
Transcribed Image Text:Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3.5 weeks. Suppose you would like to select a random sample of 55 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of , the sample mean average for a sample of 55 unemployed individuals. E(7) σy = 18.5 (to 1 decimal) 4719 (to 4 decimals)
b. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the
population mean?
(to 4 decimals)
c. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within
population mean?
(to 4 decimals)
week of the
Transcribed Image Text:b. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean? (to 4 decimals) c. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within population mean? (to 4 decimals) week of the
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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