A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 15 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 15 weeks and that the population standard deviation is 3.1 weeks. Suppose you would like to select a random sample of 54 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 15.5. P(X > 15.5) = 0.4359 (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 54 is randomly selected with a mean greater than 15.5. P(M > 15.5) = 0.50 x (Enter your answers as numbers accurate to 4 decimal places.)

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I ended up with 0.4912 or 0.50 as my answer but it is still wrong how do I know what is the correct answer?

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is
unemployed is 15 weeks. Assume that for the population of all unemployed individuals the population mean
length of unemployment is 15 weeks and that the population standard deviation is 3.1 weeks. Suppose you
would like to select a random sample of 54 unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 15.5.
P(X > 15.5) = 0.4359
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size n =
54 is randomly selected with a mean greater than 15.5.
P(M > 15.5) = 0.50
x (Enter your answers as numbers accurate to 4 decimal places.)
Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 15 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 15 weeks and that the population standard deviation is 3.1 weeks. Suppose you would like to select a random sample of 54 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 15.5. P(X > 15.5) = 0.4359 (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 54 is randomly selected with a mean greater than 15.5. P(M > 15.5) = 0.50 x (Enter your answers as numbers accurate to 4 decimal places.)
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