The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was 17226. Assume that the standard deviation is 2011. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 182 of the population mean for each of the following sample sizes: 30, 50,100, and 400? Round your answers to four decimals. b.A larger sample (increases) the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 182(+-) of u ranges from (____) for a sample of size to (____) for a sample of size 400.

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The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was 17226. Assume that the standard deviation is 2011.

a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 182 of the population mean for each of the following sample sizes: 30, 50,100, and 400? Round your answers to four decimals.

b.A larger sample
(increases)
the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 182(+-) of u ranges from
(____)
for a sample of size to
(____)
for a sample of size 400.

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