Hint(s) Check My WorkThe Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions ontheir federal income tax return. The mean amount of deductions for this population of taxpayers was $15,778. Assume that the standarddeviation is σ = $2552. 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$220 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.л=30.2650n=50.4575n = 100л=400.6102.7836b. 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 a specified distance of the population mean. Inthis instance, the probability of being within ±220 of ranges from400..6102 for a sample of size 30 to .9140for a sample of size

For n = 30:Step 1: List the given values. We are told that the population mean amount of deductions…

Answered: Hint(s) Check My Work The Wall Street…

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.
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?
Scores on an aptitude test are normally distributed with a mean of 960 and standard deviation of 120. Use the Cumulative Z-Score Table to answer the following questions. Write your answer rounded to the nearest whole number. If 1,570,000 students take the test.. how many would you expect to score above 1224? students ...how many would you expect to score above 972? students ...how many would you expect to score between 972 and 1224? students
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. IN EXCEL sketch this exponential distribution, and Standard deviation. B. IN EXCEL What is the probability that the arrival time between vehicles is 12 seconds or less. C. IN EXCEL What is the probability that the arrival time between vehicles is 6 seconds or less.
(See photo) The data set on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. What proportion of the observations is within one standard deviation of the mean for each data set?
College Professors have incomes with a standard deviation that is less than $21,000. A recent study of 225 College Professors income showed a standard deviation of $24,750. State whether it is Right Tail (one), Left Tail (one), In between, or Two tailed?
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)
The average number of kilos of meat a person consumes in a year is 90 kilos. Assume that the standard deviation is 10 kilos and the distribution is approximately normal. If a sample of 45 individuals is selected, find the probability that the mean of the sample will be 87 kilos or greater per year. Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%) type your answer...
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. If the standard deviation of the ages of all individuals in the city is σ = 20, find the probability that the mean age of the individuals sampled is within 1.5 years of the mean age for all individuals in the city. Do not round your answer. Hints: Find the sampling distribution of the sample mean age and use the central limit theorem. You don’t have to know the population mean to answer this, but if it makes it easier, use a value such as μ=35.
The average number of kilos of meat a person consumes in a year is 100 kilos. Assume that the standard deviation is 11 kilos and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probability that the mean of the sample will be 105 kilos or greater per year. Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). type your answer... Next

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