The lawyer is worried that her sample mean will be

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The workers in a large meat packing plant earn annual incomes with mean = $30,000 and standard deviation of $9000. A labor lawyer plans to randomly sample 36 incomes from this population. The lawyer is worried that her sample mean will be misleadingly high. A statistician assures her that it is unlikely that the sample mean will exceed the population mean by more than 10%. Calculate just how unlikely it is

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