The Wall Street Journal reported that of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16558. Assume that the standard deviation is $2151. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $234 of the population mean for each of the following sample sizes: 30,50,100,400 and ? Round your answers to four decimals.