'iI: MindTap - Cengage Learning X n Homework Help - Q&A from On X I + v _ x ( a C' i ng.cengage.com/staticb/ui/evo/index.html?deploymentld=572119194181470026681871688eISBN=9781337114264&id=1500477059&snapshotld... 15> o a El 0 5 v::CENGAGE I MINDTAP Q Search this course 0 Bonus HW - ST 260 o x 9. | 10. O 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 $16,041. Assume that the standard deviation is 0' : $2,264. Use 2- table. A a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $155 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n=30 73:50 11:100 112400 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 the probability that the sample mean will be within a specied distance of the population mean. In the automobile insurance example, the probability of being within i155 of .u ranges from for a sample of size 30 to for a sample of size 400. Check My Work (3 remaining) 0-: Icon Key Exercise 07.26 Algorithmic I Question 9 of 10 I ' o. - .s 6:25PM :5 /0 TVpeheretosearch 0 El 0 a a) "I G 6 89F A a Q\") g k '56 7/26/2022