The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,203. Assume that the standard deviation is σ = $2678. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $234 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n=100 n=400

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The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income
tax return. The mean amount of deductions for this population of taxpayers was $16,203. Assume that the standard deviation is σ = $2678. Use z-table.
a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $234 of the
population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.
n = 30
n = 50
n=100
n = 400
Transcribed Image Text:The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,203. Assume that the standard deviation is σ = $2678. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $234 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n=100 n = 400
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