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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 $17,546. Assume that the standard deviation is o = $2675. 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 $220 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.
n = 30
.3474
n = 50
n = 100
.5885
n = 400
.8995
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 within 220 of u ranges from
the probability that the sample mean will be within a specified distance of

Sagot :

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