The Wail Street Joumal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemued deductiond on their federal income tax retiarn. The mean amount of deducbons for this population of taxpovers was $16,384. Assurne that the standard devatian is =$2496. Use 7 -table. a. What is the probability that a sample of taxpayeis from this noome groop who have itenized deductions will show a sample mean mathin $151 of the population mean for each of the following sample sizesi 30,50,100, and 400 ? Round your answers to four decimals. n=30n=50n=100333 b. What is the advantage of a larget sample saze when attemgting to estimate the population mean? Round your answers to four decimats. A larger samide the probability that the sample mean will be within a specitied distance of the population meat In this inskance, the probability. of being within \pm 151 of ranges from for a sample of sime 30 to 6 for a sample of size 400