The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized

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The Wall Street Journal Reported That 33 Of Taxpayers With Adjusted Gross Incomes Between 30 000 And 60 000 Itemized 1 (39.75 KiB) Viewed 94 times

The Wall Street Journal reported that 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 $16,910. Assume that the standard deviation is a = $2,065. 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 $181 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Rour your answers to four decimals. n = 30 n = 50 n = 100 n = 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. A larger sample - Select your answer the probability that the sample mean will be within a specified distance of the population mean. In the automobile insurance example, the probability of being within +181 of u ranges from for a sample of size 30 to for a sample of size 400.