The Wall Street Journal reported that 33 of taxpayers with adjusted gross incomes between 30 000 and 60 000 itemized deductions

Question

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 16 554 Assume that the standard deviation is a 2379 Use z table a What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 213 of the population mean for each of the following sample sizes 30 50 100 and 400 Round your answers to four decimals n 30 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 Select your answer A larger sample size 30 to the probability that the sample mean will be within a specified distance of the population mean In this instance the probability of being within 213 of 4 ranges from for a sample of size 400 for a sample of

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