A law firm is going to designate associates and partners to a big new case. The dailyrate charged to the client for each associate is $800 and the daily rate for eachpartner is $1800. The law firm assigned a total of 17 lawyers to the case and was ableto charge the client $23600 per day for these lawyers' services. Determine thenumber of associates assigned to the case and the number of partners assigned to thecase.There wereassociates assigned to the case andpartners assigned to the

A law firm is going to designate associates and partners to a big new case. The daily rate charged…

Answered: A law firm is going to designate…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.
A company is testing a new drug and wants to determine what is the most effective dose in reducing the size of cancerous tumors. The company randomly select a sample of 32 individuals and randomly assigns them into 4 groups of 8 each. One group get 5mg of drug x, a second group get 10mg, a third group gets 15 mg, and the fourth group gets 20mg. After two months the company finds the average size of the tumors to be 40mm, 37mm, 26mm, and 12mm for each group, respectively. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income($1,000s) Itemized Deductions($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 19.7 120 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. A scatter diagram has 7 points plotted on it. The horizontal axis ranges from 0 to 140 and is labeled: Adjusted Gross Income ($1,000s). The vertical axis ranges from 0 to 30 and is labeled: Itemized Deductions ($1,000s). The points are…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income($1,000s) Itemized Deductions($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 19.7 120 27.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. (b) Use the least squares method to develop the estimated regression equation that can be used to predict itemized deductions (in $1,000s) given the adjusted gross income (in $1,000s). (Round your numerical values to three decimal…
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?
A professor has been teaching an undergraduate course for the last 15 years and has noticed that in the fall term there are more failures than in the same course offered in the winter term. The professor is wondering if this may be due to students being less prepared for the subject matter in the fall than in the winter because more students are taking the prerequisite simultaneously. Before drawing any conclusions though, the professor goes back over all the grades in all classes she taught in the last 15 years and counts the number of students that passed or failed. She then also records who had and had not completed the prerequisite first (see the table attached for data). On the basis of the last 15 years of data, should the 3 professor conclude that there is a difference in pass and failure rates depending on whether the prerequisite was done or not? Use the alpha of 0.05 and carry out all the steps of hypothesis testing to answer the hypothesis.
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Two of the mathematics professors at Enormous State University are Professor A (known for easy grading) and Professor F (known for tough grading). Last semester, roughly three-fifths of Professor F's class consisted of former students of Professor A; these students apparently felt encouraged by their (utterly undeserved) high grades. (Professor F's own former students had fled in droves to Professor A's class to try to shore up their grade point averages.) At the end of the semester, as might have been predicted, all of Professor A's former students wound up with a C− or lower. The rest of the students in the class—former students of Professor F who had decided to "stick it out"—fared better, and one-fourth of them earned higher than a C−. After discovering what had befallen them, all the students who earned C− or lower got together and decided to send a delegation to the Department Chair to complain that their grade point averages had been ruined by this callous and heartless beast!…
choose one of the following procedures for each of the research scenarios described. In a rural school 202 students from a total school population of 723 suffer from malnutrition while in an urban school, 167 students from a total of 1 001 suffer from malnutrition. A master’s degree student wants to determine whether suffering from malnutrition is dependent on the region (urban versus rural) in which the school is situated.
Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
what does my teacher mean when she wants us to do a resutls section but to attach outputs in order after results? heres an example of one problem
A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and…

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