A large corporation collected data on the reasons both middle managers and senior managers leave the company. Some managers eventually retire, but others leave the company prior to retirement for...
The Department of Transportation (DOT) fields thousands of complaints about airlines each year. The DOT categorizes and tallies complaints, and then periodically publishes rankings of airline...
The time between breakdowns of aging machines is known to be exponentially distributed with a mean of 25 hours. The machine has just been repaired. Determine the probability that the next breakdown...
The Gallup Organization regularly surveys adult Americans regarding their commute time to work. In addition, they administer a Well-Being Survey. According to the Gallup Organization, The...
a. Eye colors of humans on commercial aircraft flights b. Weights of humans on commercial aircraft flights c. Numbers of passengers on commercial aircraft flights d. Numbers of randomly generated...
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22....
How large a sample size do we need to estimate the mean annual income of Native Americans in Onondaga County, New York, correct to within $1000 with probability 0.99? No information is available to...
Suppose that you are an inspector for the Fish and Game Department and that you are given the task of determining whether to prohibit fishing along part of the Oregon coast. You will close an area to...
In our example of the free-falling parachutist, we assumed that the acceleration due to gravity was a constant value of 9.8 m/s 2 . Although this is a decent approximation when we are examining...
Using MAD, determine whether the forecast in Problem 5-13 or the forecast in the section concerning Wallace Garden Supply is more accurate.
A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good....
Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following problem interactively: Minimize Z = 5x1 + 6x2 + 7x3 + 8x4 + 9x5, Subject to and xj is binary, for j = 1, 2, . . ....
In Problem 3.66a, find the conditional probability that relays 1 and 2 are both closed given that a current flows from A to B. Problem 3.66 The probability of the closing of the ith relay in the...
Hospital personnel routinely examine patient records for error, such as incomplete insurance information, on incomplete patient history, or missing/incomplete medical records. On average, about 250...
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks. A portion of the data for 311 compact, midsized, and large cars follows. The Class column...
A soft-drink machine is being regulated so that the amount of drink dispensed averages 240 milliliters with a standard deviation of 15 milliliters. Periodically, the machine is checked by taking a...
Highway Speefs Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data from Sig Alert). This simple random sample was obtained at 3:30 p.m....
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 sea- son showed the...
Nielsen Media Research, children (ages 211) spend an average of 21 hours 30 minutes watching television per week while teens (ages 1217) spend an average of 20 hours 40 minutes. Based on the sample...
In a manufacturing process the assembly line speed (feet per minute) was thought to affect the number of defective parts found during the inspection process. To test this theory, managers devised a...
Management Decision Systems (MDS) is a consulting company that specializes in the development of decision support systems. MDS has a four-person team working on a current project with a small company...
College softball programs have a limited number of scholarships to offer promising high school seniors, so the programs invest a great deal of effort in evaluating these players. One measure of...
A recent article reported that there are approximately 11 minutes of actual playing time in a typical National Football League (NFL) game (The Wall Street Journal, January 15, 2010). The article...
Researchers wondered whether the size of a persons brain was related to the individuals mental capacity. They selected a sample of right-handed introductory psychology students who had SAT scores...
The technology committee has stated that the average time spent by students per lab visit has increased, and the increase supports the need for increased lab fees. To substantiate this claim, the...
A company purchases a small metal bracket in containers of 5,000 each. Ten containers have arrived at the unloading facility, and 250 brackets are selected at random from each container. The fraction...
The newborn grandson of one of the authors was 48 cm long and weighed 3 kg. According to the regression model of Exercise 3, what was his residual? What does that say about him? Exercise 3 A least...
Leonard works as a waiter in an upscale city restaurant. He makes a very good salary plus tips. His monthly income varies based upon the nights he works. His quarterly dividend checks and interest...
Consider the data set shown in Table 7.8. The first attribute is continuous, while the remaining two attributes are asymmetric binary. A rule is considered to be strong if its support exceeds 15% and...
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real...
The logistic model is used to simulate population as in dp / dt = k gm (1 p / p max ) p Where p = population, k gm = the maximum growth rate under unlimited conditions, and p max = the carrying...
The Killington Market chain uses this acceptance sampling plan for large shipments of packages of its generic chocolate chip cookies: Randomly select 30 packages and determine whether each is within...
An analyst claims that the mean annual salary for advertising account executives in Denver, Colorado, is more than the national mean, $67,800. The annual salaries (in dollars) for a random sample of...
A university has 807 faculty members. For each faculty member, the number of refereed publications was recorded. This number is not directly available on the database, so requires the investigator to...
The Auto Company of America (ACA) produces four types of cars: subcompact, compact, intermediate, and luxury. ACA also produces trucks and vans. Vendor capacities limit total production capacity to...
Consider the following mixed-integer linear program: Max 2x1 + 3x2 s.t. 4x1 + 9x2 36 7x1 + 5x2 35 x1, x2 0 and x1 integer a. Graph the constraints for this problem. Indicate on your graph all...
The Marriott Tub Company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of...
A portion of a data set containing information for 45 mutual funds that are part of the Morningstar Funds 500 for 2008 follows. The complete data set is available in the file named MutualFunds. The...
In placebo-controlled clinical trials for the drug Viagra, 734 subjects received Viagra and 725 subjects received a placebo (subjects did not know which treatment they received). The table in the...
A credit card customer at Barnes and Noble can use Visa (V), MasterCard (M ), or American Express (A). The merchandise may be books (B), electronic media (E), or other (O). (a) Enumerate the...
How long does it take to y from Denver to Atlanta on Delta Airlines? The table below shows 56 observations on fight times (in minutes) for the first week of March 2005. (a) Use the grouped data...
Consider the following blood inventory problem facing a hospital. There is need for a rare blood type, namely, type AB, Rh negative blood. The demand D (in pints) over any 3-day period is given by...
Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be 1 = 0.10 fluid ounces and 2 = 0.15 fluid ounces for the two machines,...
A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0 and 90.0. b. Compute the probability of a value of 75.0 or less. c. Compute...
Sam Steward is a freelance Web page designer. Listed below are his yearly wages for several years between 2007 and 2013. Also included is an industry index for Web page designers that reports the...
A recent study found that consumers are making average monthly debt payments of $983 (Experian.com, November 11, 2010). The accompanying table shows a portion of average debt payments for 26...
The probability distribution of the weekly demand for copier paper (in hundreds of reams) used in the duplicating center of a corporation is provided in the file S04_58.xlsx. a. Find the mean and...
Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% condence interval for the...
The data shown represent the cigarette tax (in cents) for 50 selected states. Check for normality. 200 160 156 200 30 300 224 346 170 5:5 160 170 270 60 578037 153 200 60 100 178 302 84 251 125 44...
Poindexter finds r = -.80 when correlating number of hours studied and number of errors made on a statistics test. He also finds r = + .40 between speed of taking the test and number of errors on the...
University Ceramics manufactures plates, mugs, and steins that include the campus name and logo for sale in campus bookstores. The time required for each item to go through the two stages of...
Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. a. Use the graphical solution...
The vice president of programming at NBC is finalizing the prime-time schedule for the fall. She has decided to include a hospital drama but is unsure which of two possibilities to select. She has a...
In the Normal model N(100, 16) for IQ scores from Exercise 24, what cutoff value bounds the a) Highest 5% of all IQs? b) Lowest 30% of the IQs? c) Middle 80% of the IQs? d) Lowest 90% of all IQs?
A survey of 1,085 adults asked Do you enjoy shopping for clothing for yourself? The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the...
The number of counties, divisions, or parishes for each of the 50 states is given below. Use the data to construct a grouped frequency distribution with 6 classes, a histogram, a frequency polygon,...
Suppose that at the beginning of 2004 you invested $10,000 in the Stivers mutual fund and $5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided...
Data from the office for national Statistics show that the mean age at which men in great Britain get married is 30.8 years (the Guardian, February 15, 2013). A news reporter noted that this...
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids"...
A uniform distribution is defined over the interval from 6 to 10. a. What are the values for a and b? b. What is the mean of this uniform distribution? c. What is the standard deviation? d. Show that...
The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 27,...
Bolton Securities is about to implement a drug-testing procedure for company employees. In a recent anonymous survey, 20% of Boltons employees admitted to using illegal drugs. The random drug testing...
Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are rare at a certain dealership, occurring at a mean rate of 0.1 claim per month. (a) What is the probability that the...
Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known standard deviations 1 = 0.010 liter and 2 = 0.015 liter, respectively. A random sample of...
The fairness of the South African lottery was recently challenged by one of the country's political parties. The lottery publishes historical statis¬tics at its website...
Web site contains data on 1247 cars from 2008.14 Is there a strong relationship between a car's MPG (miles per gallon) and the number of cylinders it has? a. Create a scatter plot of the combined MPG...
More than 50 million guests stayed at bed and breakfasts (B&Bs) last year. The Web site for the Bed and Breakfast Inns of North America (www.bestinns.com), which averages approximately seven visitors...
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. What is the probability of (a) A white chip on the first draw? (b) A white...
Wisconsin is an important milk-producing state. Some people might argue that because of transportation costs, the cost of milk increases with the distance of markets from Wisconsin. Suppose the milk...
Many of todays leading companies, including Google, Microsoft, and Facebook, are based on technologies developed within universities. Lisa Fisher is a business school professor who would like to...
Refer to the figure at the top of the next page in which surge protectors p and q are used to protect an expensive 3D HDTV. If there is a surge in the voltage, the surge protector reduces it to a...
In controlling the quality of a new drug, a dose of medicine is supposed to contain an average of 247 parts per million (ppm) of a certain chemical. If the concentration is higher than 247 ppm, the...
The maintenance staff of a large office building regularly replaces fluorescent ceiling lights that have gone out. During a visit to a typical floor, the staff may have to replace several lights. The...
The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) Write...
In an article Shelf-Space Strategy in Retailing, published in the Proceedings: Southern Marketing Association, the effect of shelf height on the supermarket sales of canned dog food is investigated....
The Times-Observer is a daily newspaper in Metro City. Like many city newspapers, the Times-Observer is suffering through difficult financial times. The circulation manager is studying other...
The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For a female full professor at the same kind of institution, the...
Kenichi Kaneko is the manager of a production department which uses 400 boxes of rivets per year. To hold down his inventory level, Kenichi has been ordering only 50 boxes each time. However, the...
The following tableau represents a specific simplex iteration. All variables are nonnegative. The tableau is not optimal for either a maximization or a minimization problem. Thus, when a non basic...
Consider a portion of simple linear regression results, y = 105.40 + 39.17x1; SSE = 407,308; n = 30 In an attempt to improve the results, two explanatory variables are added. The relevant regression...
The number of cars passing eastbound through the intersection of Mill and University Avenues has been tabulated by a group of civil engineering students. They have obtained the data in the adjacent...
The Gilbert Air-Conditioning Company is considering the purchase of a special shipment of portable air conditioners manufactured in Japan. Each unit will cost Gilbert $80, and it will be sold for...
Six months before its annual convention, the American Medical Association must determine how many rooms to reserve. At this time, the AMA can reserve rooms at a cost of $150 per room. The AMA...
(a) Estimate whether the following pairs of scores for X and Y reflect a positive relationship, a negative relationship, or no relationship. Hint: Note any tendency for pairs of X and Y scores to...
Consider a birth-and-death process with just three attainable states (0, 1, and 2), for which the steady-state probabilities are P0, P1, and P2, respectively. The birth-and-death rates are summarized...
The U.S. Energy Information Association claims that the mean monthly residential electricity consumption in your town is more than 874 kilowatt-hours (kWh). You want to test this claim. You find that...
A plant manager is interested in developing a quality-control pro-gram for an assembly line that produces light bulbs. To do so, the manager considers the quality of the products that come from the...
A vending machine is programmed to count out the correct change for each transaction. Formulate and solve an IP model that will determine how change is to be made for a purchase of $4.43, when a $10...
A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are asked to code a...
In a sample of 1,000 representing a survey from the entire population, 650 people were from Laketown, and the rest of the people were from River City. Out of the sample, 19 people had some form of...
A particular automobile costs an average of $21,755 in the Pacific Northwest. The standard deviation of prices is $650. Suppose a random sample of 30 dealerships in Washington and Oregon is taken,...
For each variable presented, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right. Justify your reasoning. (a) Annual household incomes in...
Use the following GSS data on fear, race, and home ownership for this exercise. Variables measure respondents race, whether the respondent fears walking alone at night, and his or her home ownership....
The graph of a straight line depreciation equation is shown. a. Use the graph to approximate the value of the car after 4 years. b. Use the graph to approximate the value of the car after 5 years. c....
Determine the following probabilities from the curve f(x) diagrammed in Exercise 6.1 (a). (a) P[0 < X < .5] (b) P[.5 < X < 1] (c) P[1.0 < X < 2] (d) P[X = 1]
Brynne Packaging is a large packaging company, offering its customers the highest standards in innovative packaging solutions and reliable service. About 25% of the employees at Brynne Packaging are...
Suppose that P (A|B) = 0.4 and P(B) = 0.5. Determine the following: (a) P (A B) (b) P (A B)
The lifetime, in weeks, of a certain type of transistor is known to follow a gamma distribution with mean 10 weeks and standard deviation 50 weeks. (a) What is the probability that the transistor...
The Nielsen Home Technology Report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50 persons....
Battery life between charges for the Motorola Droid Razr Maxx is 20 hours when the primary use is talk time (The Wall Street Journal, March 7, 2012). The battery life drops to 7 hours when the phone...