A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 39 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 39 weeks and that the population standard deviation is 7 weeks. Suppose you would like to select a random sample of 37 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 38. P(X<38) = 1 Find the probability that a sample of size n = 37 is randomly selected with a mean less than 38. P(M<38) = Enter your answers as numbers accurate to 4 decimal places. > Next Question

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 39 weeks. Assume that for the population of all unemployed individuals the length of
unemployment is normally distributed where the population mean length of unemployment is 39 weeks and
that the population standard deviation is 7 weeks. Suppose you would like to select a random sample of 37
unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is less than 38.
P(X < 38) =
1
Find the probability that a sample of size n = 37 is randomly selected with a mean less than 38.
P(M<38) =
Enter your answers as numbers accurate to 4 decimal places.
> Next 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 39 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 39 weeks and that the population standard deviation is 7 weeks. Suppose you would like to select a random sample of 37 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 38. P(X < 38) = 1 Find the probability that a sample of size n = 37 is randomly selected with a mean less than 38. P(M<38) = Enter your answers as numbers accurate to 4 decimal places. > Next Question
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ISBN:
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