MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 34.7 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 34.7 weeks and that the population standard deviation is 7.5 weeks. Suppose you would like to select a random sample of 167 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 34.5 and 36.4.
P(34.5<x<36.4)=P(34.5<x<36.4)= 

Find the probability that a sample of size n=167n=167 is randomly selected with a mean between 34.5 and 36.4.
P(34.5<¯x<36.4)=P(34.5<x¯<36.4)= 

Enter your answers as numbers accurate to 4 decimal places.
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It is given that the mean is 34.7 and the standard deviation is 7.5.

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