Hint(s) Check yy Work For the year 2010,33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federat income tax return, The mean amount of deductions for this population of taxpayers was $16,642. Assume that the standard deviation is =$2,520,1f required, round vour 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 ? (x~)=56 (b) What is the advantage of a larger sample stre when attempting to estimate the population mean? A targer sample 8 the standard error and results in a(n) 8 precise estmate of the population mean