Suppose the probability of an IRS audit is 1.7 percent for U.S. taxpayers who le form 1040 and who earned $100,000 or more. (a) What are the odds that such a taxpayer will be audited? (b) What are...

Suppose that five normal populations have common variance 2 = 100 and means 1 = 175, 2 = 190, 3 = 160, 4 =200, and 5 = 215. How many observations per population must be taken so that the probability...

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...

Employ the following methods to find the maximum of (x) = 4x 1.8x2 + 1.2x3 0.3x4 (a) Golden-section search (x1 = 2, xu = 4, s = 1%). (b) Quadratic interpolation (x0 = 1.75, x1 = 2, x2 = 2.5,...

The DeBourgh Manufacturing Company was founded in 1909 as a metal-fabricating company in Minnesota by the four Berg brothers. In the 1980s, the company ran into hard times, as did the rest of the...

To understand how a multiple-server waiting line system with a shared queue compares to a multiple-server waiting line system with a dedicated queue for each server, reconsider the Burger Dome...

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...

Floyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional...

Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to...

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...

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...

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.

According to an exit poll in the 2008 Vermont gubernatorial election, 54.5% of the sample size of 837 reported voting for the Republican candidate Douglas. Is this enough evidence to predict who won?...

The article Thrillers (Newsweek, April 22, 1985) stated, Surveys tell us that more than half of Americas college graduates are avid readers of mystery novels. Let p denote the actual proportion of...

CoastCo Insurance, Inc., is interested in forecasting annual larceny thefts in the United States using the following data: a. Prepare a time-series plot of these data. On the basis of this graph, do...

The speed at which you can log into a website through a smart phone is an important quality characteristic of that website. In a recent test, the mean time to log into the Hertz website through a...

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...

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...

Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are...

A process is in statistical control with x =20 and s =1.2. Specifications are at LSL = 16 and USL = 24. (a) Estimate the process capability with an appropriate process capability ratio. (b) Items...

Consider a decision maker who is comfortable with an investment decision that has a 50 percent chance of earning $25,000 and a 50 percent chance of losing $12,500, but not with any larger investments...

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...

If a circuit contains 3 automatic switches and we want that, with a probability of 95%, during a given time interval they are all working, what probability of failure per time interval can we admint...

A survey asked chief executives at leading U.S. firms the following question: Where do you expect the U.S. economy to be 12 months from now? A representative sample of their responses appears below:...

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...

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...

Medication Usage In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of them used at least one prescription medication (based on data from Use of Prescription and...

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...

Draw a normal curve and identify the approximate location of the following scores. (a) You have the most frequent score. (b) You have a low-frequency score, but the score is higher than most. (c) You...

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...

To attract shoppers, a supermarket runs a weekly contest that involves "scratch-off" cards. With each purchase, customers get a card with a black spot obscuring a message. When the spot is scratched...

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...

Solve the shortest-route problem presented in the network of Figure 11.29 below, going from node 1 to node 16. All numbers represent kilometers between German towns near the BlackForest. 5 16 9 16 12...

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...

A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. The executives employer has offered to buy the house for $210,000, but the offer expires at the...

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...

Consider the transportation table given below. Find an initial solution using the northwest corner rule. What special condition exists? Explain how you will proceed to solve the problem. TO...

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...

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 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...

A study compared the effectiveness of several antidepressants by examining the experiments in which they had passed the FDA requirements. Each of those experiments compared the active drug with a...

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...

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...

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...

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...

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....

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...

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...

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...

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,...

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...

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...

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...

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...

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...

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...

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...

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...

A small backpack manufacturer carries four different models of backpacks, made of canvas, plastic, nylon, and leather. The bookstore, which will exclusively sell the backpacks, expects to be able to...

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....

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...

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...

The pie chart shows a monthly utility budget. a. Suppose that $800 was budgeted for the month. Determine the exact amount for each category. b. Suppose that $117 was budgeted for water. What would be...

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...

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)...

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...

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...

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 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...

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 file P02_35.xlsx contains data from a survey of 500 randomly selected households. For this problem, consider this data set a simple random sample from all possible households, where the number of...

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...

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...

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...

One of the major measures of the quality of service provided by an organization is the speed with which the organization responds to customer complaints. A large family-held department store selling...

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 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...

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...

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...

Analyze the autocorrelation coefficients for the series shown in Figures 3-18 through 3-21. Briefly describe each series. Figure 3-18 Figure 3-19 Figure 3-20 Figure 3-21 Autocorrelation Function for...

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...

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....

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...

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...

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...

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...

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...

Calculate the EVPI for the decision shown in Figure 12.11. Figure 12.11 0050 6 113113 1201 000)

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...

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...

Suppose that a light-bulb manufacturing plant produces bulbs with a mean life of 2000 hours and a standard deviation of 200 hours. An inventor claims to have developed an improved process that...

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...

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...

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...

Using the data in Problem 2-43, determine the probability of more than 3 visits for emergency room service on any given day.

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...