s Problem 06-08 Algo (Sampling Distributions) Question 1 of 6 Hint(s) Check My Work (No more tries available) 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) = $ 16,642 n 30 50 100 400 246 123 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample reduces -Icon Key the standard error and results in a(n) more precise estimate of the population mean. Hint(s) Check My Work (No more tries available)