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Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard...

Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. Find the probability to 4 decimals that the sample of 55 will provide a mean within 1 week of the population mean. (20.5<x<22.5)

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