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 = $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) = $ n (x) 30 $ 50 $ 100 $ 400 $ (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample the standard error and results in a precise estimate of the population mean.