Answer Happy

The Wall Street Journal reports 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 $16,642. Assume the standard deviation is a-$2,400 (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following sample sizes: 30, 50, 150, and 300? (Round your answers to four decimal places) sample size n 30 3519 4443 sample size = 50 sample size n. 150 5453 sample size n-300 8510 ✔ X (b) What is the advantage of a larger sample size when attempting to estimate the population mean? OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean. A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. OA larger sample lowers the population standard deviation. OA larger sample has a standard error that is closer to the population standard deviation.