(a) What are the sampling distributions of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? Ex) = $ ofx) 30 50 100 400 (b) What is the advantage of a larger sample size when attempting to estimate the population mean?

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For the year 2010, 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 $16,642. Assume that the standard deviation is o = $2,440. If required, round your answer to two decimal places.
(a) What are the sampling distributions of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400?
E(x) =S
30
50
100
400
(b) What is the advantage of a larger sample size when attempting to estimate the population mean?
A larger sample- Select your answer-
v the standard error and results in a - Select your answer - v
precise estimate of the population mean.
Transcribed Image Text:For the year 2010, 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 $16,642. Assume that the standard deviation is o = $2,440. If required, round your answer to two decimal places. (a) What are the sampling distributions of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? E(x) =S 30 50 100 400 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample- Select your answer- v the standard error and results in a - Select your answer - v precise estimate of the population mean.
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