The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000and $60,000 itemized deductions on their federal income tax return. The mean amount of deductionsfor this population of taxpayers was $17,033. Assume that the standard deviation is a $2359. UseOz-table.a. What is the probability that a sample of taxpayers from this income group who have itemizeddeductions will show a sample mean within $161 of the population mean for each of the followingsample sizes: 30, 50, 100, and 400? Round your answers to four decimals.Ⓡ**kn=30 430.69n=50n=100n = 400b. 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 Increasesthe probability that the sample mean will be within aspecified distance of the population mean. In this instance, the probability of being within 161 ofranges fromfor a sample of size 30 tofor a sample of size 400.

The z score formula for the sampling distribution is given by z=x-μσn Here,x=sample…

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 health foundation survey from 2018 and 2016, the average annual premiums for employer-sponsored health insurance for family coverage was $16,834 in 2018 and $15,745 in 2016. Suppose the survey for 2018, was based on 250 employees who had employer-sponsored health insurance and the survey for 2016 was based on 200 employees who had employer-sponsored health insurance. Assume the population standard deviation for 2018 and 2016 were $2160 and $1990; respectively. Find a 97% confidence interval for the mean difference. (Round your answer to 1 decimal place.)Lower limit = Upper limit =
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) = ______%
The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
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) =
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 $17,908. Assume that the standard deviation is o = : $2,838. 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 $195 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 п 3D 100 п 3D 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. - Select your answer - v the probability that the sample mean will be within a specified distance of the A larger sample population mean. In the automobile insurance example, the probability of being within ±195 of µ ranges from for a sample of size 30 to for a…
Suppose you pay $500 per year to insure your car worth $10,000. The probability that you get in an accident, totaling the car, in any year is 0.001. Find your standard deviation for the insurance. Round your answer to the nearest dollar.
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 $16,772. Assume that the standard deviation is o = $2321. 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 $198 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. the A larger sample increases being within +198 of ranges from probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of for a sample of size 30 to for a sample of size 400.

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