IBecause of different sales ability, experience, and devotion, theincomes of real estate agents vary considerably. Suppose that in a largecity the annual income is normally distributed with a standard deviationof $15,000. A real estate industry expert claims that the mean annualincome of all real estate agents in the city is equal to $79,000. A sampleof 30 real estate agents showed that their mean annual income was$84,230. Test the manager's claim using a level of significance of 0.05.What your conclusion?(:W8ICStylesAcEME24°C Partly cloudy

test the expert's claim about the mean annual income of all real estate agents in the city, we can…

Answered: I Because of different sales ability,…

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.
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable
It is known that incomes from the USA follow a normal distribution with a mean of $55,000 and a standard deviation of $12,000. A researcher took a sample of 100 people in the USA and obtained a sample mean of $67,000 with a standard deviation of $18,000. What are the characteristics of the sampling distribution. A. Mean = $55,000 and Standard Deviation of the Mean = $1200 B. Mean = $55,000 and Standard Deviation of the Mean = $12000 C. Mean = $67,000 and Standard Deviation of the Mean = $569.21 D. Mean = $67,000 and Standard Deviation of the Mean = $1800
According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed.(a) What proportion of tax returns show a refund greater than $1,900?(b) What proportion of the tax returns show that the taxpayer owes money to the government?(c) What proportion of the tax returns show a refund between $150 and $600?(Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x > $1,900) = (enter proportion rounded to 4 decimal places)(b) P(x < 0) = (enter proportion rounded to 4 decimal places) (c) P($150 ≤ x ≤ $600) = (enter…
. Ketchup. A fast-food restaurant has just installed a new automatic ketchup dispenser for use in preparing its burgers. The amount of ketchup dispensed by the machine follows a normal distribution with a mean of 1.05 fluid ounces and a standard deviation of 0.08 fluid ounces. If the restaurant’s goal is to put between 1 and 1.2 fluid ounces of ketchup on each burger, what percent of the time will this happen? Show your work. Find the 99th percentile of the distribution of the amount of ketchup dispensed by the machine. Show your work
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 the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than adult men. A recent study showed women spent an average of 36 hours per week watching TV and men, 30 hours per week. Assume that the distribution of hours watched follows the normal distribution for both groups and that the standard deviation among the women is 4.8 hours and is 5.2 hours for the men. A. What percent of women watch TV for less than 38 hours per week? B. What percent of men watch TV for more than 25 hours per week? C. How many hours of TV do the three percent of women who watch the most TV per week watch? Find the comparable value for the men.
According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed.(a) What proportion of tax returns show a refund greater than $2,400?(b) What proportion of the tax returns show that the taxpayer owes money to the government?(c) What proportion of the tax returns show a refund between $110 and $710?(Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x > $2,400) = enter proportion rounded to 4 decimal places(b) P(x < 0) = enter proportion rounded to 4 decimal places (c) P($110 ≤ x ≤ $710) = enter proportion rounded to 4…
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?
A gambling casino records and plots the mean daily gain or loss from 5 blackjack tables. The population mean for the month from these 5 tables is $10,825 and the known standard deviation is $1,610. Using 3, what are the Control Limits that the manager of the casino should look out for?
The average McDonald's restaurant generates $2.6 million in sales each year with a standard deviation of 1. Tatiana wants to know if the average sales generated by McDonald's restaurants in Alaska is different than the worldwide average. She surveys 25 restaurants in Alaska and finds the following data (in millions of dollars):3.2, 1.8, 0.9, 3.2, 3.6, 1.7, 4.2, 2, 3.1, 3.9, 3, 2.9, 2.5, 3.5, 3, 3, 2.4, 5, 3.8, 0.9, 2.2, 2.4, 2.6, 2.8, 3.3Perform a hypothesis test using a 10% level of significance. Find the pp-value of the point estimate. P(p( <or > )= P(z<)=P( ? )=)=? p value =?pp-value==
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 11 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $45,000 with a standard deviation of $9700. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $31,000 with a standard deviation of $10,000. Assume that the population variances are not the same. Construct a 95% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary. LOWER AND UPPER ENDPOINT

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