Emily Smith decides to buy a fuel-efficient used car. Here are several vehicles she is considering, with the estimated cost to purchase and the age of the vehicle. a. Plot these data on a scatter...
A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs...
Recent research suggests that 73% of Americans have a home phone, 83% have a cell phone, and 58% of people have both. What is the probability that an American has a) A home or cell phone? b) Neither...
The Webster National Bank is reviewing its service charges and interest-paying policies on checking accounts. The average daily balance on personal checking accounts is $550, with a standard...
The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled...
Health insurance benefits vary by the size of the company (Atlanta Business Chronicle, December 31, 2010). The sample data below show the number of companies providing health insurance for small,...
A contestant on the hit reality television show Top Bartender was asked to mix a variety of drinks, each consisting of 4 fluid ounces. No other ingredients were permitted. She was given the following...
A herd of American buffalo (bison) can be modeled by a stage matrix similar to that for the spotted owls. The females can be divided into calves (up to 1 year old), yearlings (1 to 2 years), and...
An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383394) described a study investigating the relationship between noise exposure and hypertension. The following data are...
Fewer young people are driving. In 1983, 87% of 19-year-olds had a drivers license. Twenty-five years later that percentage had dropped to 75% (University of Michigan Transportation Research...
The number of faculty listed for a variety of private colleges that offer only bachelors degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a...
Boats Use x = 85 (for 850,000 registered boats) with a 99% confidence level? Use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters...
Leatherco is contracted to manufacture batches of pants, vests. and jackets. Each product requires a special setup of the machines needed in the manufacturing processes. The following table provides...
The Pew Research Center has conducted extensive research on the young adult population (Pew research website, November 6, 2012). One finding was that 93% of adults aged 18 to 29 use the Internet....
A recent survey of 992 people asked: In which professional sportfootball, boxing, hockey, or martial artsis an athlete most likely to sustain an injury that will affect the athlete after he or she...
During the summer at a small private airport in western Nebraska, the unscheduled arrival of airplanes is Poisson distributed with an average arrival rate of 1.12 planes per hour. a. What is the...
The Dow Jones Industrial Average (DJIA) and the Standard & Poors 500 (S&P 500) indexes are used as measures of overall movement in the stock market. The DJIA is based on the price movements of 30...
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x1), the number of days in the month (x2), the average product purity (x3), and...
The High-Price Oil Company owns a pipeline network that is used to convey oil from its source to several storage locations. A portion of the network is as follows: Due to the varying pipe sizes, the...
Based on a Harris Interactive poll, 20% of adults believe in reincarnation. Assume that six adults are randomly selected, and find the indicated probability. a. What is the probability that exactly...
In a group of adults, some own iPads, and others do not. If two adults are randomly selected from this group, how many total outcomes are possible? Draw a tree diagram for this experiment.
If, in Example 4, one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant B, and the initial concentrations of A and B have a common value [A] =...
Refer to Problem 21. Assume that management desires a 12-day project completion time. a. Formulate a linear programming model that can be used to assist with the crashing decisions. b. What...
In a Harris poll of 514 human resource professionals, 45.9% said body piercings and tattoos were big grooming redflags. a. Among the 514 human resource professionals who were surveyed, how many of...
A snowmobile manufacturer produces three models, the XJ6, the XJ7, and the XJ8. In any given production-planning week, the company has 40 hours available in its final testing bay. Each XJ6 requires 1...
In exercise 3, the following estimated regression equation based on 30 observations was presented. y = 17.6 + 3.8x1 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1805 and 1760, respectively....
Concur Technologies, Inc., is a large expense-management company located in Redmond, Washington. The Wall Street Journal asked Concur to examine the data from 8.3 million expense reports to provide...
Indicate which of the following represent independent events. Explain briefly. a) Prices of houses on the same block. b) Successive measurements of your heart rate as you exercise on a treadmill. c)...
Using PERT, Ed Rose was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months and the project variance is 4. (a) What is the probability...
In a recent USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 60% to 30% (Los Angeles Times, July 28, 2012). The following bar chart summarizes the...
On a laboratory assignment, if the equipment is working, the density function of the observed outcome, X is (a) Calculate P(X? (b) What is the probability that X will exceed 0.5? (c) Given that X >...
A molding process uses a five-cavity mold for a part used in an automotive assembly. The wall thickness of the part is the critical quality characteristic. It has been suggested to use X and R charts...
Aida created the following double bar graph. It illustrates the actual amount spent this year for household expenses per month and the budgeted amounts for the following year. The following year's...
Sixty-three percent of U.S. adults oppose special taxes on junk food and soda. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who oppose special taxes on junk...
Lillian purchased a guitar from Smash Music Stores. It regularly sold for $670, but was on sale at 10% off. She paid 8% tax. She bought it on the installment plan and paid 15% of the total cost with...
First-time patients at North Shore Family Practice are required to fill out a questionnaire that gives the doctor an overall idea of each patients health. The first question is: In general, what is...
Weight in carats of an uncut diamond Classify the variable as qualitative or quantitative. If the variable is quantitative, state whether it is discrete or continuous.
From a 3M Privacy Filters poll in which respondents were asked to identify their favorite seat when they fly: n = 806, x = 492 who chose the window seat. Use a 99% confidence level. Use the given...
The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed, with values at every tenth of a millimeter starting at 590.0 and continuing...
A sample space, S, yields four simple events, A, B, C, and D, such that P(A) = 0.35 , P(B) = 0.10 and P(C) = 0.25. a. Find P(D). b. Find P(Cc). c. Find P(A B).
Shown below are the per diem business travel expenses in 11 international cities listed by Business Affairs of Oregon State University. Use this list to calculate the z scores for Moscow, Beijing,...
An intern is working for Pacific TV (PTV), a small cable and Internet provider, and has proposed some questions that might be used in the survey to assess whether customers are willing to pay $50 for...
The figure shows two circles C and D of radius 1 that touch at P.T is a common tangent line; C1 is the circle that touches C, D, and T; C2 is the circle that touches C, D, and C1; C3 is the circle...
An investor bought common stock of Microsoft Corporation on three occasions at the following prices. Calculate the average price per share at which the investor bought these shares. Date January 2009...
A textile manufacturer obtained a sample of 50 bolts of cloth from a day's output. Each bolt is carefully inspected and the number of imperfections is recorded as follows: Find the mean, median, and...
Management of the First Syracuse Bank is concerned about a loss of customers at its main office downtown. One solution that has been proposed is to add one or more drive-through teller stations to...
For a large supermarket chain in Florida, a womens group claimed that female employees were passed over for management training in favor of their male colleagues. The company denied this claim,...
Farm Grown, Inc., produces cases of perishable food products. Each case contains an assortment of vegetables and other farm products. Each case costs $5 and sells for $15. If there are any cases not...
A company that builds sailboats wants to determine how many sailboats to build during each of the next four quarters. The demand during each of the next four quarters is as follows: first quarter,...
A large philanthropic organization keeps records on the people who have contributed to their cause. In addition to keeping records of past giving, the organization buys demographic data on...
A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 16 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounce. A...
A process produces rubber belts in lots of size 2,500. Inspection records on the last 20 lots reveal the data in Table 6E.5. a. Compute trial control limits for a fraction nonconforming control...
MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management...
Quitmeyer Electronics Incorporated manufactures the following six microcomputer peripheral devices: internal modems, external modems, graphics circuit boards, CD drives, hard disk drives, and memory...
A salesman normally makes a sale (closes) on 80% of his presentations. Assuming the presentations are independent, find the probability of each of the following. a) He fails to close for the first...
1. Create a customer profile for each CardioGood Fitness treadmill product line by developing appropriate tables and charts. 2. Write a report to be presented to the management of Car-dioGood Fitness...
A lot of 50 spacing washers contains 30 washers that are thicker than the target dimension. Suppose that three washers are selected at random, without replacement, from the lot. (a) What is the...
Consider the synthetic fiber in the previous exercise. How is the standard deviation of the sample mean changed when the sample size is increased from n = 6 to n = 49?
The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 as Find the average number of...
Embassy Motorcycles (EM) manufacturers two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The...
A sample containing years to maturity and yield (percent) for 40 corporate bonds are contained in the data file named CorporateBonds (Barrons, April 2, 2012). a. Develop a scatter chart of the data...
Darcelle teaches skiing at the Snow School. Jack runs a ski shop called Up Hill, Down Hill. Their combined bank interest is $1,000. If they get a refund, they would like the money deposited into...
Ten weeks of data on the Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and 7.55. a. Compute the exponential smoothing values for = 0.2. b. Compute the exponential...
In preparing for the upcoming holiday season, Mandrell Toy Company designed a new doll called Freddy. The fixed cost to produce the doll is $100,000. The variable cost, which includes material,...
On a hospital staff, there are 4 dermatologists, 7 surgeons, 5 general practitioners, 3 psychiatrists, and 3 orthopedic specialists. If a doctor is selected at random, find the probability that the...
Figure shows a cylindrical tank with a conical base. If the liquid level is quite low in the conical part, the volume is simply the conical volume of liquid. If the liquid level is midrange in the...
A small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 15% of all confirmed reservations are no-shows. Consequently, the hotel accepts confirmed reservations for as...
The diameter of cotter pins produced by an automatic machine is a characteristic of interest. Based on historical data, the process average diameter is 15 mm with a process standard deviation of 0.8...
Benson Electronics manufactures three components used to produce cell telephones and other communication devices. In a given production period, demand for the three components may exceed Bensons...
A parking control officer is conducting an analysis of the amount of time left on parking meters. A quick survey of 15 cars that have just left their metered parking spaces produced the following...
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no...
Nondestructive evaluation (NDE) describes methods that quantitatively characterize materials, tissues, and structures by noninvasive means, such as X-ray computed tomography, ultrasonics, and...
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...
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the companys office can be described by a Poisson probability...
You suspect that an unscrupulous employee at a casino has tampered with a die; that is, he is using a loaded die. In order to test this claim, you roll the die 200 times and obtain the following...
Recent research has demonstrated that music-based physical training for elderly people can improve balance and walking efficiency and reduce the risk of falls (Trombetti et al., 2011). As part of the...
Assume that the activity time estimates (in days) for the swimming pool construction project in Problem 11 are as follows: a. What are the critical activities? b. What is the expected time to...
In 2009, there were 33,722 trafc fatalities in the United States. Of these, 9817 were alcohol related. (a) What is the probability that a randomly selected trafc fatality in 2009 was alcohol related?...
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals....
An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as at the branch located near the mall. He selects 100 transactions at...
Human Resource Consulting (HRC) surveyed a random sample of 60 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the...
An Oklahoma manufacturer makes two products: speaker telephones (X1) and pushbutton telephones (X2). The following goal programming model has been formulated to find the number of each to produce...
Refer to Problem 10 and the computer solution shown in Refer Figure THE MANAGEMENT SCIENTIST SOLUTION FOR THE INNIS INVESTMENTS PROBLEM a. Suppose the risk index for the stock fund (the value of CS)...
Forest Green Brown, Inc., produces bags of cypress mulch. The weight in pounds per bag varies, as indicated in the accompanying table. a. Graph the probability distribution. b. Calculate and graph...
A small motor manufacturer makes two types of motor, models A and B. The assembly process for each is similar in that both require a certain amount of wiring, drilling, and assembly. Each model A...
Use calculus to solve Eq. (1.9) for the case where the initial velocity, (0) is nonzero.
In this chapter a decision tree was developed for John Thompson (Figure for the complete decision tree analysis). After completing the analysis, John was not completely sure that he is indifferent to...
From 10 men and 8 women in a pool of potential jurors, 12 are chosen at random to constitute a jury. Suppose that you observe the number of men who are chosen for the jury. Let A be the event that at...
Some of the pioneers of calculus, such as Kepler and Newton, were inspired by the problem of finding the volumes of wine barrels. (In fact Kepler published a book Stereometria doliorum in 1715...
John Smith has developed the following forecasting model: Y = 36 + 4.3X1 Where Y = Demand for K10 air conditioners X1 = the outside temperature (F) (a) Forecast the demand for K10 when the...
Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month (Home Energy Report, Duke Energy, March 2012). A...
An article in the Journal of the Electrochemical Society (Vol. 139, No. 2, 1992, pp. 524532) describes an experiment to investigate the low-pressure vapor deposition of polysilicon. The experiment...
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high...
A message can follow different paths through servers on a network. The senders message can go to one of five servers for the first step, each of them can send to five servers at the second step, each...
An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch x 6-inch cylinder was used,...
Can you use Twitter activity to forecast box office receipts on the opening weekend? The following data (stored in Twitter Movies) indicate the Twitter activity ( want to see) and the receipts ($)...
An interviewer is given a list of people she can interview. If the interviewer needs to interview 5 people, and if each person (independently) agrees to be interviewed with probability 2/3, what is...
A real estate developer is considering three possible projects: a small apartment complex, a small shopping center, and a mini-warehouse. Each of these requires different funding over the next two...
Sam Easton started out as a real estate agent in Atlanta ten years ago. After working two years for a national real estate firm, he transferred to Dallas, Texas, and worked for another realty agency....
The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturers specifications are that the standard deviation...