The integer programming problem in the box below has been developed to help First National Bank decide where, out of 10 possible sites, to locate four new branch offices: where Xi represents Winter...

The time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what is...

A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported fast...

Let us return to the Texaco-Pennzoil example from Chapter 4 and think about Liedtkes risk attitude. Suppose that Liedtkes utility function is given by the utility function in Table 14.5. a. Graph...

In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space S for the number of possible orders at the conclusion of the contest...

Use the single-server drive-up bank teller operation referred to in Problems 1 and 2 to determine the following operating characteristics for the system: a. The probability that no customers are in...

During 2002 in the state of Florida, a total of 365,474 drivers were involved in car accidents. The accompanying table breaks down this number by the age group of the driver and whether the driver...

As in Exercise 13, from a survey of coworkers you find that 48% of 200 have already received this years flu vaccine. An approximate 95% confidence interval is (0.409, 0.551). a) How would the...

Burger King is one of the largest fast-food franchise operations in the world. Recently, the district manager for Burger King in Las Vegas conducted a study in which she selected a random sample of...

The managing director of a consulting group has the following to bill to clients: Total Billable $340,000 3,000 $400,000 4,000 $435,000 5,000 $477,000 6,000 $529,000 7,000 $587,000 8,000...

Data envelopment analysis can measure the relative efficiency of a group of hospitals. The following data from a particular study involving seven teaching hospitals include three input measures and...

Time- depth recorders were deployed on 6 of the 76 captured turtles. The time-depth recorders allowed the environmentalists to track the movement of the sea turtles in the lagoon. These 6 turtles had...

The book The Wall Street Journal. Guide to Information Graphics by Dona M. Wong gives strategies for using graphs and charts to display information effectively. One popular graph discussed is the...

A summary of the results is reproduced in the table. Consider the bar graph shown. Identify two ways in which the bar graph might mislead the viewer by overemphasizing the importance of one of the...

On a laboratory assignment, if the equipment is working, the density function of the observed outcome, X is Find the variance and standard deviation ofX. [2(1 -x), 0

The impurity level (in ppm) is routinely measured in an intermediate chemical product. The following data were observed in a recent test: 2.4, 2.5, 1.7, 1.6, 1.9, 2.6, 1.3, 1.9, 2.0, 2.5, 2.6, 2.3,...

Why must the service rate be greater than the arrival rate in a single-channel queuing system?

Calculate the following quantities using Excel. a. P(-2.00 t10 1.00), where t10 has a t distribution with 10 degrees of freedom. b. P(-2.00 t100 1.00), where t100 has a t distribution with 100...

Simple regression was employed to establish the effects of childhood exposure to lead. The effective sample size was about 122 subjects. The independent variable was the level of dentin lead (parts...

One Friday night, there were 42 carry-out orders at Ashoka Curry Express. (a) Estimate the mean and standard deviation from the sample. (b) Assuming that the data are from a normal distribution, de...

The advection-diffusion equation is used to compute the distribution of concentration along the length of a rectangular chemical reactor (see Sec. 32.1). c / t = D 2 c / x 2 U c / x kc where c =...

The following data represent the number of cases of coffee or ï¬lters sold by four sales reps in a recent sales competition. (a) What is the probability that a randomly selected case was...

A company sends a random sample of 16 of its salespeople to a course designed to increase their motivation and, hence, presumably their effectiveness. In the following year these people generated...

In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls, business meals, and...

Let CP denote carcinogenic potential, TR test results, and FR field results. Suppose that for Figure 7.23 we have the following probabilities: Figure 7.23 PiCP High) = 0.27 PiTR Positive CP...

Refer to Example 4. Workers in three occupations were questioned about satisfaction with their jobs. Suppose the number of responses in each of the four categories are Assign 1 to very dissatisfied,...

Assume that the length of a typical televised baseball game, including all the commercial timeouts, is normally distributed with mean 2.45 hours and standard deviation 0.37 hour. Consider a televised...

In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and in the United Kingdom. Suppose that independent random samples...

In Fall 2011, the Wall Street Journal reported that 44% of smartphone purchases made by people with incomes between $35,000 to $50,000 were Android phones.16 (a) If the story is based on a sample of...

Determine the real root of x3.5 = 80: (a) Analytically, and (b) With the false-position method to within s = 2.5 %. Use initial guesses of 2.0 and 5.0

A study by Becker Associates, a San Diego travel consultant, found that 30% of the traveling public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine...

Martin Motors has in stock three cars of the same make and model. The Sales Manager would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different...

According to a report, college graduates in 2010 were likely to face better job prospects than 2009 graduates (New York Times, May 24, 2010). Many employers who might have been pessimistic at the...

Several years ago in a high-profile case, a defendant was acquitted in a double-murder trial but was subsequently found responsible for the deaths in a civil trial. (Guess the name of the...

Prairie Flower Cereal, Inc., is a small but growing producer of hot and ready-to-eat breakfast cereals. The company was started in 1910 by Gordon Thorson, a successful grain farmer. You have been...

In a study comparing banks in Germany and Great Britain, a sample of 145 matched pairs of banks was formed. Each pair contained one bank from Germany and one from Great Britain. The pairings were...

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two- candidate election, if a specific candidate receives at least 55% of...

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. (a) Use Excel or MegaStat to sort and standardize the data. (b) Based on the Empirical...

Foofy has a normal distribution of scores ranging from 2 to 9. (a) She computed the variance to be - .06. What should you conclude about this answer, and why? (b) She recomputes the standard...

A biotechnology company produces a therapeutic drug whose concentration has a standard deviation of 4 grams per liter. A new method of producing this drug has been proposed, although some additional...

A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What dimensions will require the least amount of metal?

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 22% of the times when they are needed (based on data...

Determine whether the two random variables of Exercise 3.49 are dependent or independent.

Manning Autos operates an automotive service counter. While completing the repair work, Manning mechanics arrive at the companys parts department counter, with an arrival rate of four per hour. The...

Feder and Dugan (2002) reported a study in which 404 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group)....

An operating system for a personal computer has been studied extensively, and it is known that the standard deviation of the response time following a particular command is = 8 milliseconds. A new...

Data Set 13 in Appendix B includes crash test measurements for small cars. The seven chest deceleration measurements have a mean of 42.7 g and a standard deviation of 5.6 g, where g is a force of...

The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns a....

The work produced by a constant temperature, pressure-volume thermodynamic process can be computed as W = pdV Where W is work, p is pressure, and V is volume. Using a combination of the trapezoidal...

A study conducted in September and October of 2010 found that fewer than half of employers who hired new college graduates last academic year plan to definitely do so again (The Wall Street Journal,...

Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? b. List the sample points....

Five hundred employees were selected from a citys large private companies, and they were asked whether or not they have any retirement benefits provided by their companies. Based on this information,...

When the 636 male workers in the 2008 GSS were asked how many hours they worked in the previous week, the mean was 45.5 with a standard deviation of 15.16. Does this suggest that the population mean...

The spotlight effect refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly...

Jaco owns a plant in which three products are manufactured. The labor and raw material requirements for the three products are given in the following table. The profits per unit for the three...

The ogives shown are based on U.S. Census data and show the average annual personal income per capita for each of the 50 states. The data are rounded to the nearest thousand dollars. (i) Ogive (ii)...

A random sample of 16 pharmacy customers showed the waiting times below (in minutes). Find a 90 percent confidence interval for, assuming that the sample is from a normal population. 21 17 2 21 16 8...

Scott offers you the following game: You will roll two fair dice. If the sum of the two numbers obtained is 2, 3, 4, 9, 10, 11, or 12, Scott will pay you $20. However, if the sum of the two numbers...

A medical researcher found a significant relationship among a persons age x1, cholesterol level x2, sodium level of the blood x3, and systolic blood pressure y. The regression equation is y = 97.7 +...

Explain what would happen if the smoothing constant in an exponential smoothing model was equal to zero. Explain what would happen if the smoothing constant was equal to one.

The article Checks Halt over 200,000 Gun Sales (San Luis Obispo Tribune, June 5, 2000) reported that required background checks blocked 204,000 gun sales in 1999. The article also indicated that...

Table P-23 in Chapter 3 contains the quarterly income before extraordinary items for Southwest Airlines for the years 1988-1999. a. Using Minitab, smooth the Southwest Airlines income data using...

Refer to the Baseball 2012 data, which reports information on the 2012 Major League Baseball season. Let attendance be the dependent variable and total team salary, in millions of dollars, be the...

The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who dont. In fact, she claims that the...

The Steelcase Workplace Index studied the types of work-related activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent...

When working for the Brooklyn district attorney, investigator Robert Burton analyzed the leading digits of the amounts from 784 checks issued by seven suspect companies. The frequencies were found to...

A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. In a sheet 6 ft by 10 ft (72 in. by 120 in.) that will...

CarMD reports that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the...

Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($250...

Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into...

Vincent Cuomo is the credit manager for the Fine Fabrics Mill. He is currently faced with the question of whether to extend $100,000 credit to a potential new customer, a dress manufacturer. Vincent...

The fire department in a large city is examining its promotion policy to assess if there is the potential for an age discrimination lawsuit. A random sample of 248 promotion decisions over the past 5...

According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation after they have been with the company for 15 years. Find the probability...

A financial manager made two new investmentsone in the oil industry and one in municipal bonds. After a one-year period, each of the investments will be classified as either successful or...

The proportion of husbands taller than their wives is less than 0.9. Identify expressions that identify the type I error and the type II error that correspond to the given claim.

An analyst has available two forecasts, F1 and F2, of earnings per share of a corporation next year. He intends to form a compromise forecast as a weighted average of the two individual forecasts. In...

Consumer research firm Scarborough analyzed the 10% of American adults who are either Superbanked or Unbanked. Superbanked consumers are defined as U. S. adults who live in a household that has...

Following maintenance and calibration, an extrusion machine produces aluminum tubing with a mean outside diameter of 2.500 inches, with a standard deviation of 0.027 inches. As the machine functions...

Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective...

Find the probability that a random sample of 25 observations, from a normal population with variance a" = 6, will have a variance s (a) Greater than! I; (b) Between 3.462 and 10.745. Assume the...

Four automobiles have entered Bubba's Repair Shop for various types of work, ranging from a transmission overhaul to a brake job. The experience level of the mechanics is quite varied, and Bubba...

The Department of Statistics at Western State University offers eight sections of basic statistics. Following are the numbers of students enrolled in these sections: 34, 46, 52, 29, 41, 38, 36, and...

The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large city served by...

a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm. b. If 25 adult females are randomly selected, find the probability that they have a...

According to one source, 50% of plane crashes are due at least in part to pilot error (www.planecrash-info.com). Suppose that in a random sample of 100 separate air-plane accidents, 62 of them were...

The EPA city/hwy mpg range for a Saturn Vue FWD automatic 5-speed transmission is 20 to 28 mpg. (a) Estimate using Method 3 from Table 8.11. (b) If you owned this vehicle, how large a sample (e.g.,...

With reference to Exercise 3.42 on page 90, In exercise If the values of the joint probability distribution of X and Y are as shown in the table Find (a) The marginal distribution of X; (b) The...

Imagine that an arrow is shot from the bottom of a well. It passes ground level at 1.1 s and lands on the ground at 4.7 s. a. Define variables and write a quadratic function that describes the height...

A survey investigated the publics attitude toward the federal deficit. Each sampled citizen was classified as to whether he or she felt the government should reduce the deficit or increase the...

Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation. Treat the values as simple random samples from a larger population. Use a...

Do business seniors at your school prepare for class more than, less than, or about the same as business seniors at other schools? The National Survey of Student Engagement (NSSE) found that business...

Let a. Find limx0 f (x). b. Use four-digit rounding arithmetic to evaluate f (0.1). c. Replace each trigonometric function with its third Maclaurin polynomial, and repeat part (b). d. The actual...

There are 20,000 eligible voters in York County, South Carolina. A random sample of 500 York County voters revealed 350 plan to vote to return Louella Miller to the state senate. Construct a 99%...

Suppose you currently have a portfolio of three stocks, A, B, and C. You own 500 shares of A, 300 of B, and 1000 of C. The current share prices are $42.76, $81.33, and $58.22, respectively. You plan...

The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $845 and a standard...

Ever since the day she took her first economics class in high school, Lydia wondered about the financial practices of her parents. They worked very hard to earn enough money to live a comfortable...

If the probability is 0.20 that a certain bank will refuse a loan application, use the normal approximation to determine (to three decimals) the probability that the bank will refuse at most 40 of...

In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. (Data extracted from beverage digest.com/pdf/top-10_2015.pdf.). Assume that the per capita...

A sudden increase in the demand for smoke detectors has left Acme Alarms with insufficient capacity to meet demand. The company has seen monthly demand from its retailers for its electronic and...

Refer to the computer solution to Problem 14 in Figure THE MANAGEMENT SCIENTIST SOLUTION FOR THE DIGITAL CONTROLS, INC., PROBLEM a. Interpret the ranges of optimality for the objective function...