4. 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 5. was $16,019. Assume that the standard deviation is o = $2377. Use z-table. 6. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a 7. sample mean within $245 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. 8. 9. n = 30 79.233 10. 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 increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 1245 of / ranges from for a sample of size 30 to for a sample of size 400