Problem 06-08 Algo (Sampling Distributions) Question 1 of 6 Check My Work (2 remaining) 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 = $2,460. If required, round your answer to two decimal places. (a) What are the sampling errors 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 (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(n) | - Select your answer precise estimate of the population mean.