An article in Techno metrics (Vol. 19, 1977, p. 425) presents the following data on the motor fuel octane ratings of several blends of gasoline: Construct a stem-and-leaf display for these data. 88.5...

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...

Jims Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demand for these two cameras are as follows: DS = demand for the Sky Eagle, PS is the selling price of the Sky Eagle, DH is...

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...

The National Health and Nutrition Examination Survey (NHANES) collects demographic, socioeconomic, dietary, and health related information on an annual basis. Here is a sample of 20 observations on...

Shoe Town and Fancy Foot are both vying for more share of the market. If Shoe Town does no advertising, it will not lose any share of the market if Fancy Foot does nothing. It will lose 2% of the...

According to FBI data, 12.4% of burglaries are cleared with arrests. A new detective is assigned to five different burglaries. a.What is the probability that at least one of them is cleared with an...

From an Angus Reid Public Opinion poll in which respondents were asked if they felt that U.S. nuclear weapons made them feel safer: n = 1005, x = 543 who said yes. Use a confidence level of 80%. Use...

In the file MajorSalary, data have been collected from 111 College of Business graduates on their monthly starting salaries. The graduates include students majoring in management, finance,...

A shipment of chemicals arrives in 15 totes. Three of the totes are selected at random, without replacement, for an inspection of purity. If two of the totes do not conform to purity requirements,...

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...

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...

Each main bearing cap in an engine contains four bolts. The bolts are selected at random, without replacement, from a parts bin that contains 30 bolts from one supplier and 70 bolts from another. (a)...

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...

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...

A population data set produced the following information. N = 460, x = 3920, y = 2650, xy = 26,570, x2 = 48,530 Find the population regression line.

An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 5975) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five...

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...

To boost holiday sales, a jewelry store in Bismarck, North Dakota, is advertising the following promotion: If more than seven inches of cumulative snow fall on December 24, 25, 26, 27, and 28, you...

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....

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...

A humane society claims that 30% of U.S. households own a cat. In a random sample of 200 U.S. households, 72 say they own a cat. At = 0.05, is there enough evidence to reject the societys claim? (a)...

The physicians in Problem 3-36 have been approached by a market research firm that offers to perform a study of the market at a fee of $ 5,000. In Problem 3-36, A group of medical professionals is...

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...

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)...

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...

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...

Discuss the similarities and differences between minimization and maximization problems using the graphical solution approaches of LP.

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...

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...

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...

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 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...

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...

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...

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...

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....

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...

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...

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...

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...

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....

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 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...

Investment advisors recommend risk reduction through international diversification. International investing allows you to take advantage of the potential for growth in foreign economies, particularly...

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...

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...

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...

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...

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...

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,...

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...

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 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)...

An article by J. J. Pignatiello, Jr. and J. S. Ramberg in the Journal of Quality Technology (Vol. 17, 1985, pp. 198- 206) describes the use of a replicated fractional factorial to investigate the...

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...

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...

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 catenary cable is one that is hung between two points not in the same vertical line. As depicted in Figure a, it is subject to no loads other than its own weight. Thus, its weight (N/m) acts as a...

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...

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...

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...

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...

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...

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...

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...

Good Homes Construction Company is about to begin the construction of a large new home. The companys president, Michael Dean, is currently planning the schedule for this project. Michael has...

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...

Reep Construction recently won a contract for the excavation and site preparation of a new rest area on the Pennsylvania Turnpike. In preparing his bid for the job, Bob Reep, founder and president of...

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,...

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...

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...

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...

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...

The Texago Corporation has four oil fields, four refineries, and four distribution centers. A major strike involving the transportation industries now has sharply curtailed Texagos capacity to ship...

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...

a. To simplify the analysis, assume for now that there is virtually no turnaround time between flights so the next flight can begin as soon as the current flight ends. (If an immediate next flight is...

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...

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...

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...

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 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 =...

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...

Sundown Rent-a-Car, a large automobile rental agency operating in the Midwest, is preparing a leasing strategy for the next six months. Sundown leases cars from an automobile manufacturer and then...

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....

A survey of 1055 registered voters is conducted, and the voters are asked to choose between candidate A and candidate B. Let p denote the fraction of voters in the population who prefer candidate A,...

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 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...

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...

A statistics professor believes that there is a relationship between the number of missed classes and the grade on his midterm test. After examining his records, he produced the following table of...

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...

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...

Consider the piston ring data shown in Table 6.3. Assume that the specifications on this component are 74.000 ï±ï 0.05 mm. (a) Set up x and R control charts on this process. Is the...

Tucker Inc. produces high-quality suits and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours of sewing time, uses 6 yards of material, and provides a profit...

Florida Power & Light (FP&L) Company has enjoyed a reputation for quickly fixing its electric system after storms. However, during the hurricane seasons of 2004 and 2005, a new reality was that the...

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...

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...

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...