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 = $2,540. 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 30 50 100 400 +A +A σ(x) (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample - Select your answer- - Select your answer the standard error and results in a precise estimate of the population mean.