The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal incom- cax return. The mean amount of deductions for this population of taxpayers was $16,941. Assume that the standard deviation is o = $2942. 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 $176 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. A larger sample Select your answer - the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within ±176 of µ ranges from for a sample of size 30 to for a sample of size 400.
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal incom- cax return. The mean amount of deductions for this population of taxpayers was $16,941. Assume that the standard deviation is o = $2942. 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 $176 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. A larger sample Select your answer - the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within ±176 of µ ranges from for a sample of size 30 to for a sample of size 400.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text: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 $16.941. Assume that the standard deviation iso = $2942. 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 $176 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.
A larger sample - Select your answer the probability that the sample mean will be within a specified distance of the population mean. In this instance, the
probability of being within +176 of µ ranges from
for a sample of size 30 to
for a sample of size 400.
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