A leading magazine reported at one time that the average number of weeks an individual is unemployed is 32 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 32 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 32 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 31. P(X < 31) = Find the probability that a sample of size n=32 is randomly selected with a mean less than 31. P(M < 31) = Enter your answers as numbers accurate to 4 decimal place

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A leading magazine reported at one time that the average number of weeks an individual is unemployed is 32 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 32 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 32 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is less than 31.
P(X < 31) =

Find the probability that a sample of size n=32 is randomly selected with a mean less than 31.
P(M < 31) =

Enter your answers as numbers accurate to 4 decimal places.

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