Federal Income Tax Returns. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between$30,000and$60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was$16,642.  Assume the standard deviation is σ=$2400.   What is the probability that a sample of taxpayers from this in-come group who have itemized deductions will show a sample mean within$200 of the population mean for sample sizes 30?

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Federal Income Tax Returns. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between$30,000and$60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was$16,642.  Assume the standard deviation is σ=$2400.

 

  1. What is the probability that a sample of taxpayers from this in-come group who have itemized deductions will show a sample mean within$200 of the population mean for sample sizes 30?
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