You may need to use the appropriate appendix table or technology to answer this question.Accounting Today reports that the mean preparation fee for an itemized 1040 and state return in 2020 was $302. Use this price as the population mean and assume the population standard deviation of preparation fees is $100.(a) What is the probability that the mean price for a sample of 40 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)(b) What is the probability that the mean price for a sample of 70 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)(c) What is the probability that the mean price for a sample of 121 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)(d) Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to ensure at least a 0.95 probability that the sample mean is within $16 of the population mean? (Select all that apply.)40 customersO 70 customers121 customersOnone of the above

The population mean: The population standard deviation: Sample sizes: , , and

Answered: You may need to use the appropriate…

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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Answer the three following questions a, b, and c. Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
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Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. a. mean= 12,700; median= 13,156; no mode; the mean is the best choice because it is representative of the entire data set. b. mean= 13,156; median= 12,700; mode= 3,628; the median is the best choice because it is not skewed by the high outlier. c. mean= 13,156; median= 12,700; no mode; the mean is the best choice because it is representative of the entire data set. d. mean= 13,156; median= 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
It has been reported that 84% of federal government employees use e- mail. If a sample of 235 federal government employees is selected, find the mean, variance, and standard deviation of the number who use e-mail. Round your answers to three decimal places. a. Find mean
According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about half had blue eyes. (Source: Data from The Boston Globe on October 17, 2006.) a. For a random sample of 100 living Americans, find the mean and standard deviation of the proportion that have blue eyes. b. In a course you are taking with 100 students, half of the students have blue eyes. Would this have been a surprising result if the sample were a random sample of Americans? Answer by finding how many standard deviations that sample result falls from the mean of the sampling distribution of the proportion of 100 students who have blue eyes. c. In part b, identify the population distribution, the data distribution, and the sampling distribution of the sample proportion.
Number of persons in the household 1 2 A. Below is a distribution of the variable "hompop" from the 2016 General Social Survey dataset. This variable is a measure of the number of people in each respondent's household. Use the table to answer the following questions. 3 4 5 7 8 9 10 11 Total www Freq. 850 1,069 436 278 139 58 19 2,867 percent 29.65 37.29 15.21 9.70 4.85 2.02 0.66 0.31 0.24 0.03 0.03 100.00 Cum. 29.65 66.93 82.14 91.84 96.69 98.71 99.37 99.69 99.93 99.97 100.00 1
Corporate Farms. The U.S. Census Bureau estimates the mean value of the land and buildings per corporate farm. Those estimates are published in the Census of Agriculture. Suppose that an estimate, x, is obtained and that the margin of error is $1000. Does this result imply that the true mean, μ, is within $1000 of the estimate? Explain your answer.
A labor rights group wants to determine the mean salary of app-based drivers. If she knows that the standard deviation is $3.8, how many drivers should she consider surveying to be 95% sure of knowing the mean will be within +$0.77? O 10 1351 38 O 94 66
A. Population ? B. Population mean ? C. Median ? F. IQR ? G. Population standard deviation ?H. population variance ?
The mean and median both estimate the "average" of a sample. In 2020, the US mean and median net compensations were approximately $53,383 and $34,612, respectively. What does the difference between the mean and median imply for the distribution of incomes in the US? (Use the term "skew" correctly in your answer)
Recently, a random sample of 13–18 year olds was asked, "How much do you currently have in savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. LOADING... Click the icon to view the frequency distribution for the amount of savings. Savings Frequency $0– $199 343 $200– $399 94 $400– $599 62 $600– $799 21 $800– $999 9 $1000– $1199 5 $1200– $1399 3 The sample mean amount of savings is $nothing. (Round to the nearest dollar as needed.) The sample standard deviation is $nothing. (Round to the nearest dollar as needed.)
You may need to use the appropriate appendix table or technology to answer this question. If we model after-tax household income with a normal distribution, then the figures of a study imply the information in the following table. Assume that the distribution of incomes in each country is normal. Country Country A Country B Country C Country D Country E Mean Household Income $38,000 $21,000 $40,000 $14,000 $32,000 Standard Deviation $26,000 $38,000 $26,000 $17,000 $19,000 What percentage of households in Country A had an income of $45,000 or more? (Round your answer to the nearest percent.) %

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