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Assume that for the population of all unemployed individuals the population mean length of unemployment is 32 weeks and that the population standard deviation is

Assume that for the population of all unemployed individuals the population mean length of unemployment is 32 weeks and that the population standard deviation is 2.1 weeks. Suppose you would like to select a random sample of 100 unemployed individuals for a follow-up study.

Find the probability that the mean of this sample of size is more than 32.3.

Round your answer to at least three decimals.

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