An electronics engineer is interested in the effect on tube conductivity of five different types of coating for cathode ray tubes in a telecommunications system display device. The following...
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...
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,...
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)...
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...
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...
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...
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...
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.
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...
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...
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 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...
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...
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)...
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...
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...
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 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....
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...
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...
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...
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)...
Discuss the similarities and differences between minimization and maximization problems using the graphical solution approaches of LP.
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...
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...
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...
You are given the following data based on 10 pairs of observations on Y and X. yi = 1110 Xi = 1680 XiYi = 204,200 X2i = 315,400 Y2i = 133,300 Assuming all the assumptions of CLRM are fulfilled,...
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...
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 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 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...
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...
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....
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...
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...
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...
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...
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...
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...
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 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 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...
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...
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...
Investment advisors recommend risk reduction through international diversification. International investing allows you to take advantage of the potential for growth in foreign economies, particularly...
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?...
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...
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...
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,...
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....
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...
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...
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 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...
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...
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...
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...
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,...
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...
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...
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 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...
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...
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...
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.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...
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...
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...
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 =...
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...
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....
Why do you think many quantitative analysts don't like to participate in the implementation process? What could be done to change this attitude?
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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%)...
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 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...
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...
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...
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...
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...
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...
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...