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 deductions for this population of taxpayers was $16,541. Assume that the standard deviation is $2097. 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 $245 of the population mean for each of the followin sample sizes: 30, 50, 100, and 4007 Round your answers to four decimals n=30 n-50 n100) - 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimais. A larger sample ranges from Select your answer for a sample of size 30 to the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 245 of for a sample of size 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 $16,541. Assume that the standard deviation is a $2007. Use 2-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 $245 of the population mean for each of the following
sample sizes: 30, 50, 100, and 4007 Round your answers to four decimals
n=30
n = 50
n
100
n-400
b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals.
A larger sample
ranges from
Select your answer
for a sample of size 30 to
the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 245 of
for a sample of size 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 $16,541. Assume that the standard deviation is a $2007. Use 2-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 $245 of the population mean for each of the following sample sizes: 30, 50, 100, and 4007 Round your answers to four decimals n=30 n = 50 n 100 n-400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. A larger sample ranges from Select your answer for a sample of size 30 to the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 245 of for a sample of size 400.
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