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 $16,896. Assume that the standard deviation is $2686. 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 $212 of the population mean for each of the following sample sizes: 30 ,50,100 and 400? Round your answers to four decimals.

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 increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within+/-212 of u ranges from blank for a sample size 30 to blank for a sample size 400.

Answer 1

Explanation:

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 $15,983 .

Answer 2

Explanation: