The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal incometax return. The mean amount of deductions for this population of taxpayers was $16,203. Assume that the standard deviation is σ = $2678. 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 $234 of thepopulation mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.n = 30n = 50n=100n = 400

The question is about central limit theorem.Given :Population mean amount of deduction ( ) =…

Answered: The Wall Street Journal reported that…

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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According to a recent survey, the salaries of entry-level positions at a large company have a mean of $41,750 and a standard deviation of $7000 . Assuming that the salaries of these entry-level positions are normally distributed, find the proportion of employees in entry-level positions at the company who earn at most $45,000 . Round your answer to at least four decimal places.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 243 feet and a standard deviation of 55 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? PP(more than 216 feet) = %
Refer to the accompanying table, which describes the number of adults in groups of five who reported sleepwalking. Find the mean and standard deviation for the numbers of sleepwalkers in groups of five
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 35,000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click to view page 1 of the table. Click to view page 2 of the table. Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)
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. 0Icon…
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Suppose that the weight of male babies less than 2 months old is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. What proportion of babies weigh less than 9.20 pounds?Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at most $53,000. Round your answer to at least four decimal places.

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