eBook 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 a $2,420. 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 4007 EX)-S n $ o(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 -Select your answer the standard error and results in a Select your answer precise estimate of the population mean.