In Problem 6-18 you helped Lila Battle determine the optimal order quantity for number 6 screws. She had estimated that the ordering cost was $10 per order. At this time, though, she believes that...
Formulate the Krampf Lines Railway Company situation (Problem 9-17) as a linear program and solve using computer software.
Ginny Rait is the general manager for N.R.G., Inc., a company producing two types of electric generators - the BR54 and the BR49. Orders have been received, and a production schedule is to be set up...
Consider the Western Hills Shopping Center Project summarized by Figure 13.6 and Table 13.2. Suppose the project has been underway for seven weeks. Activities A and E have been completed. Activity F...
An automotive expert claims that the large number of self-serve gasoline stations has resulted in poor automobile maintenance, and that the average tire pressure is more than 4 pounds per square inch...
Let P(x1, y1) be a point on the hyperbola x2/a2 y2/b2 = 1 with foci F1 and F2 and let α and β be the angles between the lines PF1, PF2 and the hyperbola as shown in the figure. Prove that...
Solve the nondimensionalized ODE using finite difference methods that describe the temperature distribution in a circular rod with internal heat source S Over the range 0 r 1, with the boundary...
At the downtown office of First National Bank, there are five tellers. Last week, the tellers made the following number of errors each: 2, 3, 5, 3, and 5. a. How many different samples of two tellers...
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to non-recoverable failure. A test...
The author surveyed some of his statistics students who drive, asking whether they run red lights. The students responses are shown in the frame in Table 7. The survey was anonymous, so the names in...
In a previous chapter, we saw data on the errors (in nautical miles) made by the National Hurricane Center in predicting the path of hurricanes. The scatterplot at the top of the next page shows the...
The Bogard Corporation produces three types of bookcases, which it sells to large office supply companies. The production of each bookcase requires two machine operations, trimming and shaping,...
Davis Instruments has two manufacturing plants located in Atlanta, Georgia. Product demand varies considerably from month to month, causing Davis extreme difficulty in workforce scheduling. Recently...
The Kenyon Manufacturing Company is interested in selecting the best location for a new plant. After a detailed study of 10 sites, the three location finalists are Georgetown, Kentucky; Marysville,...
Management professors at Columbia University examined the relationship between assertiveness and leadership (Journal of Personality and Social Psychology, Feb. 2007). The sample comprised 388 people...
A random sample of 174 college students was asked to indicate the number of hours per week that they surf the Internet for either personal information or material for a class assignment. The sample...
Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the three courts. At a minimum, your report should include the following:...
A chemical company wishes to mix three elements (E, F, and G) to create three alloys (X, Y, and Z). The costs of The elements are as shown in the following table. To maintain the required quality for...
An auditor for Health Maintenance Services of Georgia reports 40% of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records....
Has the Consumer Price Index (CPI) fluctuated around its mean according to a Normal model? Here are some displays. Is a Normal model appropriate for these data? Explain. 800 - 600 400 0.0 75.0 150.0...
On San Martin Boulevard, embedded sensors kept track of the vehicle traffic count each hour for five weekdays, Monday through Friday between 6 a.m. and 8 p.m. (5 weeks 3 14 hours 5 70 observations)....
You are given the following payoff table (in units of dollars): You have the option of paying $100 to have research done to better predict which state of nature will occur. When the true state of...
Students who are trying to raise funds have an agreement with a local pizza chain. The chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local...
A box of nine gloves contains two left-handed gloves and seven right-handed gloves. a. If two gloves are randomly selected from the box, without replacement (the first glove is not returned to the...
Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. Zack Schadek, the owner, received a large shipment...
In the Sullivan Statistics Survey, individuals were asked to disclose the number of televisions in their household. In the following probability distribution, the random variable X represents the...
Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.1 defects per unit. Find the probability that a randomly selected unit will contain at least one...
Use the data in VOTE1.RAW for this exercise. (i) Consider a model with an interaction between expenditures: voteA = (0 + (1 prtystrA + (2 expendA + (3 expendB + (4 expendA-expendB + u. What is the...
A new automated production process averages 1.5 breakdowns per day. Because of the cost associated with a breakdown, management is concerned about the possibility of having three or more breakdowns...
The production of wine is a multibillion dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of Portuguese...
Analysis of annualized returns over a 10-year period showed that prepaid tuition plans had a mean return of 6.3 percent with a standard deviation of 2.7 percent, while the Standard & Poor's 500 stock...
Multigenerational families can be categorized as having two adult generations such as parents living with adult children, skip generation families, such as grandparents living with grandchildren, and...
A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.94 + 0.1875 length. Explain in words what this model means....
A spokesperson for the National Association of Broadcasters (NAB) claims that 80% of all satellite radio subscribers have a satellite radio receiver in their car. Recall from Exercise, that in a June...
An investor is considering three strategies for a $1,000 investment. The probable returns are estimated as follows: Strategy 1: A profit of $10,000 with probability 0.15 and a loss of $1,000 with...
The article from which the data in Exercise 1 was extracted also gave the accompanYing strength observations for cylinders: Prior to obtaining data, denote the beam strengths by X1,..., Xm and the...
A small trucking company is determining the com-position of its next trucking job. The load master has his choice of seven different types of cargo, which may be loaded in full or in part. The...
The 32 teams in the National Football League (NFL) are worth, on average, $1.17 billion, 5% more than last year. The following data show the annual revenue ($ millions) and the estimated team value...
Oliveira Office Supply has a large retail system consisting of twelve stores spread around the country, often in direct competition with Kilroy. However, managers at Oliveira have decided to use two...
An order for a personal digital assistant can specify any one of five memory sizes, any one of three types of displays, any one of four sizes of a hard disk, and can either include or not include a...
Below are monthly rents paid by 30 students who live off campus. (a) Find the mean, median, and mode. (b) Do the measures of central tendency agree? Explain. (c) Calculate the standard deviation. (d)...
A scientist estimates that the mean nitrogen dioxide level in Calgary is greater than 32 parts per billion. You want to test this estimate. To do so, you determine the nitrogen dioxide levels for 34...
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the...
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: a. More than $27? b. Less...
Suppose you attend a school that offers both traditional courses and online courses. You want to know the average age of all the students. You walk around campus asking those students that you meet...
The budgeting Web site HelloWallet reported that 25% of U. S. households have withdrawn money from a 401(k) or other retirement account for needs other than retirement in 2013. A random sample of 11...
A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies, X3 = 2004...
Assume that the project in Problem 3 has the following activity times (in months): a. Find the critical path. b. The project must be completed in 11/2 years. Do you anticipate difficulty in meeting...
a. Exact weights of quarters now in circulation in the United States b. Numbers of tosses of quarters required to get heads c. Responses to the survey question Did you smoke at least one cigarette in...
Reconsider Prob. 12.4-7. The management of Sunny Skies Unlimited now has decided that the decision on the locations of the fire stations should be based mainly on costs. The cost of locating a fire...
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the...
The Energy Information Administration reported that the mean retail price per gallon of regular grade gasoline was $3.43 (Energy Information Administration, July 2012). Suppose that the standard...
CBS televised a recent Super Bowl football game between the New Orleans Saints and the Indianapolis Colts. That game received a rating of 45, indicating that among all U.S. households, 45% were tuned...
The cooling system in a nuclear submarine consists of an assembly pipe through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. (a) Suppose the...
A used car dealer says that the mean price of a three-year-old sports utility vehicle (in good condition) is $20,000. You suspect this claim is incorrect and find that a random sample of 22 similar...
A firm is negotiating with a local club to supply materials for a party. The firms manager expects to sell 100 large bags of pretzels for $3 each or300 for $2 each; these two outcomes are judged to...
A container of car antifreeze is supposed to hold 3785mL of the liquid. Realizing that fluctuations are inevitable, the quality-control manager of the Taconic Chemical Company wants to be quite sure...
The viscosity of a polymer is measured hourly. Measurements for the last 20 hours are shown as follows: a. Does viscosity follow a normal distribution? b. Set up a control chart on viscosity and a...
An experimenter studies vision in low light by having participants sit in a darkened room for either 5, 15, or 25 minutes and then tests their ability to correctly identify 20 objects. (a) What is...
1. All corporations that overcharge their customers are unethical businesses. Some unethical businesses are investor-owned utilities. Therefore, some investor-owned utilities are corporations that...
A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. (a) What is the probability...
At a local bar in a small Midwestern town, beer and wine are the only two alcoholic options. The manager noted that of all male customers who visited over the weekend, 150 ordered beer, 40 ordered...
For a telephone survey, a marketing research group needs to contact at least 600 wives, 480 husbands, 400 single adult males, and 440 single adult females. It costs $3 to make a daytime call and...
Micron Technology has sales offices located in four cities: Dallas, Seattle, Boston, and Los Angeles. An analysis of the companys accounts receivables reveals the number of overdue invoices by days,...
The national coffee store Farbucks needs to decide in August how many holiday-edition insulated coffee mugs to order. Because the mugs are dated, those that are unsold by January 15 are considered a...
The following table shows the annual returns (in percent) and summary measures for the Vanguard Energy Fund and the Vanguard Health Care Fund from 2005 through 2009. a. Which fund had the higher...
Tim Madsen is the purchasing agent for Computer Center, a large discount computer store. He has recently added the hottest new computer, the Power model, to the stores stock of goods. Sales of this...
Samples of n = 6 items each are taken from a process at regular intervals. A quality characteristic is measured, and x and R values are calculated for each sample. After 50 samples, we have Assume...
The data set in CEOSAL2.RAW contains information on chief executive officers for U.S. corporations. The variable salary is annual compensation, in thousands of dollars, and ceoten is prior number of...
The following table shows the percentage of on-time arrivals, the number of mishandled baggage reports per 1000 passengers, and the number of customer complaints per 1000 passengers for ten airlines...
Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies...
A regional planner is studying the demographics in a region of a particular state. She has gathered the following data on nine counties. a. Is there a linear relationship between the median income...
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the...
The consequence variable used in the House-Hunting example was Net Annual Cost, but as we mentioned, houses are also purchased as investments, suggesting that it might be useful to include equity and...
Certain kinds of tumors tend to recur. The following data represent the lengths of time, in months, for a tumor to recur after chemotherapy (Reference: D. P. Byar, Journal of Urology, Vol. 10, pp....
A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into...
According to the National Survey of Student Engagement, the average student spends about 17 hours each week preparing for classes; preparation for classes includes homework, reading and any other...
An article in Lubrication Engineering (December 1990) describes the results of an experiment designed to investigate the effects of carbon material properties on the progression of blisters on carbon...
The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each years calendar arrives in September. From past experience, the September-to-July...
Why might a manager be forced to use simulation instead of an analytical model in dealing with a problem of (a) Inventory ordering policy? (b) Ships docking in a port to unload? (c) Bank teller...
Assume a finite population has 350 elements. Using the last three digits of each of the following five-digit random numbers (e.g., 601, 022, 448, . . .), determine the first four elements that will...
When you get a surprisingly low price on a product do you assume that you got a really good deal or that you bought a low-quality product? Research indicates that you are more likely to associate low...
Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the...
A manufacturer provides specialized microchips. During the next 3 months its sales, costs, and available time are There are no chips in stock at the beginning of the first month. It takes 1.5 hrs of...
During the busiest season of the year, Green-Gro Fertilizer produces two types of fertilizers. The standard type (X) is just fertilizer, and the other type (Y) is a special fertilizer and weed-killer...
Finnish Furniture manufactures tables in facilities located in three cities-Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and...
Statewide Development Corporation has built a very large apartment complex in Gainesville, Florida. As part of the student-oriented marketing strategy that has been developed, it is stated that if...
A genetics expert has determined that for certain couples, there is a 0.25 probability that any child will have an X-linked recessive disorder. a. Find the probability that among 200 such children,...
For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component...
With a previous contractor, the mean time to replace a streetlight was 3.2 days. A city councilwoman thinks that the new contractor is not getting the streetlights replaced as quickly. She selects a...
About 28% of private companies are owned by women (The Cincinnati Enquirer, January 26, 2006). Answer the following questions based on a sample of 240 private companies. a. Show the sampling...
What are the keys to getting commitment to action from the decision-board participants in the six-step process?
A college student frequents one of two coffee houses on campus, choosing Starbucks 70% of the time and Peet's 30% of the time. Regardless of where she goes, she buys a cafe mocha on 60% of her...
South Central Airlines operates a commuter flight between Atlanta and Charlotte. The plane holds 30 passengers, and the airline makes a $100 profit on each passenger on the flight. When South Central...
The campaign manager for a politician who is running for reelection to a political office is planning the campaign. Four ways to advertise have been selected: TV ads, radio ads, billboards, and...
The probability of a randomly selected car crashing during a year is 0.0423 (based on data from the Statistical Abstract of the United States). If a family has three cars, find the probability that...
Consider the following Venn diagram, where P(E1) = .10, P(E2) - .05, P(E3) = P(E4) = .2, P(E5) = .06, P(E6) - .3, P(E7) = .06, and P(E8) = .03: Find the following probabilities: a. P(Ac) b. P(Bc) c....
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation = .000959 mm. If a random...
Using the data in Problem 2-43, determine the probability of more than 3 visits for emergency room service on any given day.
The manager of a minor league baseball team wants to estimate the average fastball speed of two pitchers. He clocks 50 fastballs, in miles per hour, for each pitcher. A portion of the data is shown...