The following chart depicts the annual revenues, by type of tax, for the state of Georgia. The chart was developed using Kids Zone, an NCES project. Their website is...
At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the number of cups he sells each day is normally distributed with a mean of 320...
The U. S. Department of Transportation maintains statistics for involuntary denial of boarding. In July September 2013, the American Airlines rate of involuntarily denying boarding was 0.45 per...
Consider this LP formulation: Graphically illustrate the feasible region and apply the isocost line procedure to indicate which corner point produces the optimal solution. What is the cost of this...
Bus and subway ridership in Washington, D.C., during the summer months is believed to be heavily tied to the number of tourists visiting the city. During the past 12 years, the following data have...
You have been informed that the assessor will visit your home sometime between 10: 00 am and 12: 00 pm. It is reasonable to assume that his visitation time is uniformly distributed over the specified...
A psychologist employs a two- factor experiment to study the combined effect of sleep deprivation and alcohol consumption on the performance of automobile drivers. Before the driving test, the...
In a fish farm, a population of fish is introduced into a pond and harvested regularly. A model for the rate of change of the fish population is given by the equation where r0 is the birth rate of...
For a recent year, the following are the numbers of homicides that occurred each month in New York City: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 significance level to test the...
Does posting calorie content for menu items affect people's choices in fast food restaurants? According to results obtained by Elbel, Gyamfi, and Kersh (2011), the answer is no. The researchers...
The Ajax Company uses a portfolio approach to manage their research and development (R&D) projects. Ajax wants to keep a mix of projects to balance the expected return and risk profiles of their R&D...
The Continuing Education Division at the Ozark Community College offers a total of 30 courses each semester. The courses offered are usually of two types: practical, such as woodworking, word...
Hilliard Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip...
The annual demand for Prizdol, a prescription drug manufactured and marketed by the NuFeel Company, is normally distributed with mean 50,000 and standard deviation 12,000. Assume that demand during...
A sales manager is trying to determine appropriate sales performance bonuses for her team this year. The following table contains the data relevant to determining the bonuses, but it is not easy to...
Reiser Sports Products wants to determine the number of All-Pro (A) and College (C) footballs to produce in order to maximize profit over the next four-week planning horizon. Constraints affecting...
Geraldine Shawhan is president of Shawhan File Works, a firm that manufactures two types of metal file cabinets. The demand for her two-drawer model is up to 600 cabinets per week; demand for a...
A recently installed assembly line has problems with intermittent breakdowns. Recently, it seems that the equipment fails at some point during 15% of the eight-hour shifts that the plant operates....
The following table summarizes the key facts about two products, A and B, and the resources, Q, R, and S, required to produce them. All the assumptions of linear programming hold. (a) Formulate a...
HiDec produces two models of electronic gadgets that use resistors, capacitors, and chips. The following table summarizes the data of the situation: Let x1 and x2 be the amounts produced of models 1...
Four bits are transmitted over a digital communications channel. Each bit is either distorted or received without distortion. Let Ai denote the event that the ith bit is distorted, i = 1,.., 4. (a)...
A survey by Mens Health magazine stated that 14% of men said they used exercise to reduce stress. Use = 0.10. A random sample of 100 men was selected, and 10 said that they used exercise to relieve...
Americans appear to be eating healthier. Between 1970 and 2007 the per capita consumption of broccoli increased 1000% from 0.5 to 5.5 pounds. A nutritionist followed a group of people randomly...
Suppose that the only information we have about a function is that f (1) = 5 and the graph of its derivative is as shown. (a) Use a linear approximation to estimate f (0.9) and f (1.1). (b) Are your...
Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the parachutist as a second-order relationship, F U = c v 2 where c = second-order drag coefficient...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: During the next...
Carpetland salespersons average $8,000 per week in sales. Steve Contois, the firms vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial...
A software design company is creating a new, faster search engine. The search engine is clearly faster, but initial tests indicate there is more variation in the time to perform a search. A sample of...
Student Enterprises sells two sizes of wall posters, a large 3- by 4-foot poster and a smaller 2- by 3-foot poster. The profit earned from the sale of each large poster is $3; each smaller poster...
A researcher tests whether the mean cholesterol level among those who eat frozen pizza exceeds the value considered to indicate a health risk. She gets a P-value of 0.07. Explain in this context what...
The mean cost of a meal for two in a mid-range restaurant in Tokyo is $40 (Numbeo.com website, December 14, 2014). How do prices for comparable meals in Hong Kong compare? The Data file Hong Kong...
For the following highway network system, determine the maximal flow in vehicles per hour: The highway commission is considering adding highway section 34 to permit a flow of 2000 vehicles per hour...
After reviewing the waiting line analysis of Problem 12, the manager of Petes Market wants to consider one of the following alternatives for improving service. What alternative would you recommend?...
Refer to Problem 14-19. Suppose the sale of football programs described by the probability distribution in that problem only applies to days when the weather is good. When poor weather occurs on the...
The quantitative methods department head at a major midwestern university will be scheduling faculty to teach courses during the coming autumn term. Four core courses need to be covered. The four...
The distance from Potsdam to larger markets and limited air service have hindered the town in attracting new industry. Air Express, a major overnight delivery service, is considering establishing a...
Show & Sell can advertise its products on local radio and television (TV), or in newspapers. The advertising budget is limited to $10,000 a month. Each minute of advertising on radio costs $15 and...
Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material...
A Florida coastal community experiences a population increase during the winter months, with seasonal residents arriving from northern states and Canada. Staffing at a local post office is often in a...
Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follows: The critical path calculation shows B-D-E-F-H is the critical path,...
1. Does Steve need additional information from Iverstine and Walker? 2. What would you recommend? In 1979, Steve Blake founded Blake Electronics in Long Beach, California, to manufacture resistors,...
Andrades equation has been proposed as a model of the effect of temperature on viscosity, = DeB/T0 Where = dynamic viscosity of water (10-3 N s/m2), T = absolute temperature (K), and D and B are...
The National Basketball Association had 39 African-American top executives (presidents or vice presidents) among its 388 senior managers. Meanwhile, Major League Baseball had only 11 African...
Investment advisors recommend risk reduction through international diversification. International investing allows you to take advantage of the potential for growth in foreign economies, particularly...
An architect wants to determine the relationship between the heights (in feet) of a building and the number of stories in the building. The data for a sample of 10 buildings in Pittsburgh are shown....
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is repeated from Exercise 17. Frequent Flier Miles (000)...
The stock brokerage firm of Blank, Leibowitz, and Weinberger has analyzed and recommended two stocks to an investors' club of college professors. The professors were interested in factors such as...
The state of Missouri has three major power-generating companies (A, B, and C). During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess supply...
A.J. has 20 jobs that she must do in sequence, with the times required to do each of these jobs being independent random variables with mean 50 minutes and standard deviation 10 minutes. M.J. has 20...
Jim Sellers is thinking about producing a new type of electric razor for men. If the market were favorable, he would get a return of $100,000, but if the market for this new type of razor were...
According to a recent survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random...
Hundreds of thousands of drivers dropped their automobile insurance in 2008 as the unemployment rate rose (Wall Street Journal, December 17, 2008). Sample data representative of the national...
A survey found that 62% of callers in the United States complain about the service they receive from a call center if they suspect that the agent who handled the call is foreign.11 Given this...
Why do you think many quantitative analysts don't like to participate in the implementation process? What could be done to change this attitude?
The Orange County Register, as part of its Sunday health supplement, reported that 64% of American men over the age of 18 consider nutrition a top priority in their lives. Suppose we select a sample...
A pharmaceutical firm is about to begin production of three new drugs. An objective function designed to minimize ingredient costs and three production constraints are as follows: Maximize profit =...
Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But does trust in Pinterest differ by...
A random sample of 50 units is drawn from a production process every half hour. The fraction of nonconforming product manufactured is 0.02. What is the probability that be p 0.04 if the fraction...
Alexandra Damonte will be building a new resort in Myrtle Beach, South Carolina. She must decide how to design the resort based on the type of activities that the resort will offer to its customers....
A Gallup Poll showed that 30% of Americans are satisfied with the way things are going in the United States (Gallup website, September 12, 2012). Suppose a sample of 20 Americans is selected as part...
Strom Construction made a bid on two contracts. The owner identified the possible outcomes and subjectively assigned the following probabilities. a. Are these valid probability assignments? Why or...
A clinical trial was conducted to test the effectiveness of the drug Zopiclone for treating insomnia in older subjects. Before treatment with Zopiclone, 16 subjects had a mean wake time of 102.8 min....
The Move-It Company has two plants producing forklift trucks that then are shipped to three distribution centers. The production costs are the same at the two plants, and the cost of shipping for...
A random sample of six music students played a short song, and the number of mistakes each student made was recorded. After they practiced the song 5 times, the number of mistakes each student made...
It costs a pharmaceutical company $40,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be...
Regional Airlines is establishing a new telephone system for handling flight reservations. During the 10:00 A.M. to 11:00 A.M. time period, calls to the reservation agent occur randomly at an average...
AndrewCarter, Inc. (AC), is a major Canadian producer and distributor of outdoor lighting fixtures. Its fixture is distributed throughout North America and has been in high demand for several years....
An analyst thinks that next year there is a 20% chance that the world economy will be good, a 50% chance that it will be neutral, and a 30% chance that it will be poor. She also predicts...
A process is in control with x = 100.s = 1.05, and n = 5. The process specifications are at 95 ± 10. The quality characteristic has a normal distribution. (a) Estimate the potential...
In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score one or two additional points. Going for one point is virtually an...
Continuing its monitoring of the upload speed first de-scribed in the Chapter 6 Managing Ashland MultiComm Services case on page 221, the technical operations department wants to ensure that the mean...
Using aggressive mail promotion with low introductory interest rates, Yeager National Bank (YNB) built a large base of credit card customers throughout the continental United States. Currently, all...
Let g(x) = ∫x f(t) dt, where f is the function whose graph is shown. (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. (b) Estimate g(7). (c) Where does have a maximum value? Where does it have...
Simkin's Hardware Store simulated an inventory ordering policy for Ace electric drills that involved an order quantity of 10 drills with a reorder point of 5. The first attempt to develop a...
According to popcorn.org, the mean consumption of popcorn annually by Americans is 54 quarts. The marketing division of popcorn.org unleashes an aggressive campaign designed to get Americans to...
Four unmarked packages have lost their shipping labels, and you must reapply them. What is the probability that you apply the labels and get all 4 of them correct? Exactly 3 correct? Exactly 2? At...
Mitchell bought 600 shares of Centerco two years ago for $34.50 per share. He sold them yesterday for $38.64 per share. a. What was the percent increase in the price per share? b. What was the total...
Nearly 1.8 million bachelor's degrees and over 750,000 master's degrees are awarded annually by U.S. postsecondary institutions (National Center for Education Statistics website, November, 2014). The...
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. What is the expected number of...
Suppose a poll is taken that shows that 281 out of 500 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%)...
Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the center. It is open from 8 A.M. until midnight. Larry has monitored the usage of...
Bob Bell's fortieth birthday party promised to be the social event of the year in Cookeville. To prepare, Bob stocked up on the following liquors: LIQUOR AMOUNT ON HAND (OUNCES) Bourbon...
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur...
The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for slightly higher pay.In addition, 88% of...
Coulombs Law states that the force of attraction between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between...
In an Adecco Staffing survey of 1,000 adults in the United States, 140 (or 14%) said that salary was the most important feature of their job. The sample proportion of 0.14 cannot be a good estimate...
The U.S. Department of Energy provides fuel economy information for a variety of motor vehicles. A sample of 10 automobiles is shown in Table 1.6 (Fuel Economy website, February 22, 2008). Data show...
Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large...
In one study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one year after the treatment and 32 were not smoking one year after the treatment (based on data from...
A researcher suspected that the number of between meal snacks eaten by students in a day during final examinations might depend on the number of tests a student had to take on that day. The...
Suppose ACT, Inc. wants to update their information from Exercise 34 on the percentage of freshmen that return for a second year of college. a) They want to cut the stated margin of error in half....
How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study...
People end up tossing 12% of what they buy at the grocery store (Readers Digest. March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery...
A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15...
Georgia Products offers the following discount schedule for its 4- by 8-foot sheets of good-quality plywood: ORDER UNIT COST ($) 9 sheets or less .......18.00 10 to 50 sheets .......17.50 More than...
The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in. a. Find the percentage of women meeting the height requirement. Are many women not qualified because they are too...
A staff member at a local grocery store was assigned the job of inspecting all containers of yogurt in the store to determine the number of days to expiry date for each container. Containers that had...
Jack is an aspiring freshman at Diem University. He realizes that "all work and no play make Jack a dull boy." As a result, Jack wants to apportion his available time of about 10 hours a day between...
A high-volume printer produces minor print-quality errors on a test pattern of 1000 pages of text according to a Poisson distribution with a mean of 0.4 per page. (a) Why is the number of errors on...
An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 + 0.25x2 Where V is the shear force and x is length in distance along the beam. We know that V = dM/dx, and M is...