A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 28 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 28 weeks and that the population standard deviation is 3.8 weeks. Suppose you would like to select a random sample of 60 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 27.2. P(X> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 60 is randomly selected with a mean greater than 27.2. P(M> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.)
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 28 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 28 weeks and that the population standard deviation is 3.8 weeks. Suppose you would like to select a random sample of 60 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 27.2. P(X> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 60 is randomly selected with a mean greater than 27.2. P(M> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.)
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

Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an
individual is unemployed is 28 weeks. Assume that for the population of all unemployed
individuals the population mean length of unemployment is 28 weeks and that the population
standard deviation is 3.8 weeks. Suppose you would like to select a random sample of 60
unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value greater than 27.2.
P(X> 27.2) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size n = 60 is randomly selected with a mean greater
than 27.2.
(Enter your answers as numbers accurate to 4 decimal places.)
P(M> 27.2) :
=
Expert Solution

Step 1
The question is about sampling distribution
Given :
Popl. mean length of unemployment ( ) = 28 weeks
Popl. std. deviation of length of unemployment ( ) = 3.8 weeks
Randomly selected no. of unemployed individuals ( n ) = 60
To find :
1 ) Prob. that a randomly selected value is greater than 27.2
2 ) Prob. that sample mean is greater than 27.2
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman