You may need to use the appropriate appendix table or technology to answer this question. Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 5 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 50 unemployed individuals. O ^ ^ ^ -2.1 1.4 -0.7 0 0.7 1.4 2.1 47.9 48.6 49.3 50 50.7 51.4 52.1 15.4 16.1 16.8 17.5 18.2 18.9 19.6 2.5 7.5 12.5 17.5 22.5 27.5 32.5 weeks weeks X Q weeks weeks Ⓡ (b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.) x (c) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within week of the population mean? (Round your answer to four decimal places.) 2

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
You may need to use the appropriate appendix table or technology to answer this question.
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of
unemployment is 17.5 weeks and that the population standard deviation is 5 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study.
(a) Show the sampling distribution of x, the sample mean average for a sample of 50 unemployed individuals.
-2.1 -1.4 -0.7 0 0.7 1.4 2.1
2.5 7.5 12.5 17.5 22.5 27.5 32.5
weeks
weeks
X
^^.
weeks
15.4 16.1 16.8 17.5 18.2 18.9 19.6
47.9 48.6 49.3 50 50.7 51.4 52.1
weeks
(b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.)
(c) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within week of the population mean? (Round your answer to four decimal
places.)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 5 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 50 unemployed individuals. -2.1 -1.4 -0.7 0 0.7 1.4 2.1 2.5 7.5 12.5 17.5 22.5 27.5 32.5 weeks weeks X ^^. weeks 15.4 16.1 16.8 17.5 18.2 18.9 19.6 47.9 48.6 49.3 50 50.7 51.4 52.1 weeks (b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.) (c) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within week of the population mean? (Round your answer to four decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 8 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