The Wall Street Journal reported that of taxpayers with adjustedgross incomes between and itemized deductions on their federalincome tax return. The mean amount of deductions for thispopulation of taxpayers was . Assume that the standard deviation is. Use z-table. a. What is the probability that a sample oftaxpayers from this income group who have itemized deductions willshow a sample mean within of the population mean for each of thefollowing sample sizes: , , , and ? Round your answers to fourdecimals. b. What is the advantage of a larger sample size whenattempting to estimate the population mean? Round your answers tofour decimals. A larger sample the probability that the sample meanwill be within a specified distance of the population mean. In theautomobile insurance example, the probability of being within ofranges from for a sample of size to for a sample of size .
