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3. [-I30 Points] ASWSBE14 7.E.026. - ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reporu 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, 60, 100, and 300? (Round your answers to four decimal places.) sample size n - 30 sample size n - 60 sample size n - 100 HHHH sample size n - 300 (b) What is the advantage of a larger sample size when attempting to estimate the population mean':I O A larger sample increases the probability that the sample mean will be a specified distance away from the population mean. 0 A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. 0 A larger sample lowers the population standard deviation. 0 A larger sample has a standard error that Is closer to the population standard deviation. Need Help