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 σ = $2,380. 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) = $
(b)What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample - Select your answer -
does not change
the standard error and results in a - Select your answer -
precise estimate of the population mean.