For the year 2010, 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$16,642. Assume that the standard deviation is σ = $2,360. If required, round your answer to two decimal places.(a) What are the sampling errors of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400?E(X) = $n3050100400(b) What is the advantage of a larger sample size when attempting to estimate the population mean?A larger sample - Select your answer - the standard error and results in a(n) - Select your answer- precise estimate of the population mean.IncreaseDoes not ChangeReducesMoreEquallyLess

Given:mean µ = $16642standard deviation σ = $2360 According to the Central Limit Theorem (CLT), for…

Answered: For the year 2010, 33% of taxpayers…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Alex wants to find out: if the standard deviation of the mean for the sampling distribution of random samples of size 256 from a large or infinite population is 9, how large must the sample size become if the standard deviation is to be reduced to 2.7 (or even smaller)?
Mr. Dela Cruz works for a New York theatrical agency whose employees had an average income last year of $28,000 with a standard deviation of $3,000. How much did Mr. dela Cruz earn last year if his z score is -0.8?O $25,600O -$30,400O $11,400O $45,600O $30,400
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
A city's mean minimum daily temperature in February is 25°F.Suppose the standard deviation of the minimum temperature in February is 3°F and that the distribution of minimum temperatures in February is approximately Normal. What percentage of days in February has minimum temperatures below freezing (32°F)? Round to the nearest integer as needed.
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
You want to assess the differences in frequency counts for four different groups. You know there are 150 people total. Without any additional information about how the data is distributed, what would you use for the "expected frequency" in each group? a.1/4 b.37.5 c.25 d..375
Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 6, 2.7, 3.3, 5.6, 3.7. Calculate the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)
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