A procurement specialist has purchased 25 resistors from vendor 1 and 35 resistors from vendor 2. Each resistors resistance is measured with the following results: (a) What distributional assumption...
The unemployment rate for 18-to 34-year-olds was reported to be 10.8% (The Cincinnati Enquirer, November 6, 2012). Assume that this report was based on a random sample of four hundred 18- to...
The following table summarizes investment outcomes and corresponding probabilities for a particular oil well: X= the outcome in $ p(x) -$ 40,000 (no oil)........... .25 10,000 (some oil) ..............
CHB, Inc. is a bank holding company that is evaluating the potential for expanding into the state of Ohio. State law permits establishing branches in any county that is adjacent to a county in which...
Hart Venture Capital (HVC) specializes in providing venture capital for software development and Internet applications. Currently HVC has two investment opportunities: (1) Security Systems, a firm...
A paper mill uses a control chart to monitor the imperfection nin finished rolls of paper. Production output is inspected for 20 days, and the resulting data are shown in Table 7E.13. Use these data...
Summit Projects provides marketing services and website management for many companies that specialize in outdoor products and services (www.summitprojects.com). To understand customer Web behavior,...
A humane society claims that less than 35% of U.S. households own a dog. In a random sample of 400 U.S. households, 156 say they own a dog. At = 0.10, is there enough evidence to support the...
In a test of the Weight Watchers weight loss program, weights of 40 subjects are recorded before and after the program. Assume that the before/ after weights result in r = 0.876. Is there sufficient...
Three professors examined awareness of four widely disseminated retirement rules among employees at the University of Utah. These rules provide simple answers to questions about retirement planning...
A cube has its six sides colored red, white, blue, green, yellow, and violet. It is assumed that these six sides are equally likely to show when the cube is tossed. The cube is tossed once. (a)...
The following data represent baseball batting averages for a random sample of National League players near the end of the baseball season. The data are from the baseball statistics section of the...
A really bad carton of 18 eggs contains 7 spoiled eggs. An unsuspecting chef picks 4 eggs at random for his Mega-Omelet Surprise. Find the probability that the number of unspoiled eggs among the 4...
XtraNet, an Internet service provider (ISP), has experienced rapid growth in the past five years. As a part of its marketing strategy, XtraNet promises fast connections and dependable service. To...
A 10-year study conducted by the American Heart Association provided data on how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a...
A local beer producer sells two types of beer, a regular brand and a light brand with 30% fewer calories. The companys marketing department wants to verify that its traditional approach of appealing...
Avalon Bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $ 3.00 and can be sold for $ 6.00. Leftover...
During a recent 46-year period, New York State had a total of 194 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New...
A consulting organization predicts whether corporations' earnings for the coming year will be unusually low, unusually high, or normal. Before deciding whether to continue purchasing these forecasts,...
Bill Fredlund, president of Lincoln Log Construction, is considering placing a bid on a building project. Bill has determined that five tasks would need to be performed to carry out the project....
The Boston South Fifth Street Softball League consists of three teams: Mama's Boys, team 1; the Killers, team 2; and the Machos, team 3. Each team plays the other teams just once during the season....
America Online published a survey question. Among the 2,300 Internet users who responded, 20% answered "yes" and the others answered "no." For the "yes" responses, what is the value of /5? What is...
Northern Distributors is a wholesale organization that supplies retail stores with lawn care and household products. One building is used to store Neverfail lawn mowers. The building is 25 feet wide...
The following data on annual rates of return were collected from five randomly selected stocks listed on the New York Stock Exchange (the big board) and five randomly selected stocks listed on...
Alocal television station plans to drop four Friday evening programs at the end of the season. Steve Botuchis, the station manager, developed a list of six potential replacement programs. Estimates...
Use the data in MEAP00_01.RAW to answer this question. (i) Estimate the model mathA = (0 + (1 lunch + (2 log(enroll) + (3log(exppp) + u by OLS and obtain the usual standard errors and the fully...
In a survey conducted by USA Today, 1465 Internet users chose to respond to this question posted on the USA Today electronic edition: "Is news online as satisfying as print and TV news?" 52% of the...
Using the data in Problem 4-13, test to see if there is a statistically significant relationship between the grade on the first test and the final average at the 0.05 level of significance. Use the...
Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. Each pound of beef costs $0.90, and each pound of grain costs $0.60. A pound...
Currently, there are 4227 Wal-Mart stores in the United States and another 3210 stores outside of the United States. a. Are the numbers of Wal-Mart stores discrete or continuous? b. What is the level...
Two products are manufactured on two sequential machines. The following table gives the machining times in minutes per unit for two products. The daily production quotas for the two products are 80...
The checking accounts of Sun Bank are categorized by the age of account and the account balance. Auditors will select accounts at random from the following 1000 accounts (numbers in the table are the...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100 and the standard deviation is 2. We wish to test versus with a sample of...
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if two or more defective units are found in a random sample of 100 units. (a) What...
Suppose that a sample space has five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E2} B = {E3, C4} C = {E2, E3, E5} a. Find P(A), P(B), and P(C). b. Find P(A ( B). Are A and...
Do Americans prefer Coke or Pepsi? A survey was con-ducted by Public Policy Polling (PPP) in 2013; the results were as follows: a. Given that an American is a male, what is the probability that he...
An article in the Journal of Quality Technology (Vol. 13, No. 2, 1981, pp. 111114) describes an experiment that investigates the effects of four bleaching chemicals on pulp brightness. These four...
1. Treating Cost/Mile as the dependent variable, develop an estimated regression with Family-Sedan and Upscale-Sedan as the independent variables. Discuss your findings. 2. Treating Value Score as...
For warranty purposes, analysts want to model the number of defects on a screen of the new tablet they are manufacturing. Let X = the number of defective pixels per screen. If X can be modeled by: a)...
The director of security wants to connect security video cameras to the main control site from five potential trouble locations. Ordinarily, cable would simply be run from each location to the main...
Assume that you are reviewing the production lot size decision associated with a production operation where P = 8000 units per year, D = 2000 units per year, Co = $300, and Ch = $1.60 per unit per...
Research in the gaming industry showed that 10% of all slot machines in the United States stop working each year. Shorts Game Arcade has 60 slot machines and only 3 failed last year. At the .05...
The Seneca Childrens Fund (SCC) is a local charity that runs a summer camp for disadvantaged children. The funds board of directors has been working very hard over recent years to decrease the amount...
The University of Cincinnati Center for Business Analytics is an outreach center that collaborates with industry partners on applied research and continuing education in business analytics. One of...
Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders,...
A sample of 20 automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG, using horsepower as the only...
A recent article in The Wall Street Journal reported that the home equity loan rate is now less than 6%. A sample of eight small banks in the Midwest revealed the following home equity loan rates (in...
Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours,...
Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock. A one-week lead time is required to fill the order. Demand for one particular part during the...
Major Bill Bligh, director of the Army War College's new 6-month attach training program, is concerned about how the 20 officers taking the course spend their precious time while in his charge. Major...
An aluminum producer manufactures carbon anodes and bakes them in a ring furnace prior to use in the smelting operation. The baked density of the anode is an important quality characteristic, as it...
A supermarket chain purchases large quantities of white bread for sale during a week. The stores purchase the bread for $1.25 per loaf and sell it for $2.39 per loaf. Any loaves not sold by the end...
Do store-brand chocolate chip cookies have fewer chips per cookie than Keebler's Chips Deluxe Chocolate Chip Cookies? To find out, a student randomly selected 21 cookies of each brand and counted the...
Establish the following rules for working with differentials (where denotes a constant and u and v are functions of x). (a) de =0 (b) d(cu) = c u (c) d(u + v) = du + dv (d) d(uv) - u dv + v du du-u...
A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the probability that for a given year that area will be hit by (a) Fewer than 4 hurricanes; (b) Anywhere...
The placement office at a university regularly surveys the graduates 1 year after graduation and asks for the following information. For each, determine the type of data. a. What is your occupation?...
J.D. Power and Associates conducts vehicle quality surveys to provide automobile manufacturers with consumer satisfaction information about their products (Vehicle Quality Survey, January 2010)....
A large city hospital conducted a study to investigate the relationship between the numbers of unauthorized days that employees are absent per year and the distance (miles) between home and work for...
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars, and all of the towns are in Dutchess County, New York. For the prediction...
The three princes of Serendip Went on a little trip. They could not carry too much weight; More than 300 pounds made them hesitate. They planned to the ounce. When they returned to Ceylon They...
Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The number...
Has the recent drop in airplane passengers resulted in better on-time performance? Before the recent downturn one airline bragged that 92% of its flights were on time. A random sample of 165 flights...
Consider the following project network and activity times (in days): The crashing data for this project are as follows: a. Find the critical path and the expected project completion time. b. What is...
The number of megapixels in a digital camera is one of the most important factors in determining picture quality. But do digital cameras with more megapixels cost more? The following data show the...
Jeannette Phan is a college student who has just completed her junior year. The following table summarizes her grade point average (GPA) for each of the past nine semesters: (a) Forecast Jeannettes...
A rectangular beam will be cut from a cylindrical log of radius 10 inches. (a) Show that the beam of maximal cross-sectional area is a square. (b) Four rectangular planks will be cut from the four...
Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the...
Two states of nature exist for a particular situation: a good economy and a poor economy. An economic study may be performed to obtain more information about which of these will actually occur in the...
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine...
Consider a problem with two decision variables, x1 and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the...
Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities. a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of...
A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. For this to happen, it will have to move one of its most viewed shows to...
A lending institution supplied the following data on loan approvals by four loan officers. Use = .05 and test to determine whether the loan approval decision is independent of the loan officer...
At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. A random sample of 9-year-olds yielded these results. Estimate the mean...
Two quality control technicians measured the surface finish of a metal part, obtaining the data in Table 4E.1. Assume that the measurements are normally distributed. (a)Test the hypothesis that the...
Often, frequency distributions are reported using unequal class widths because the frequencies of some groups would otherwise be small or very large. Consider the following data, which represent the...
The ONeill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost...
Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled...
The Classic Furniture Company is trying to determine the optimal quantities to make of six possible products: tables and chairs made of oak, cherry, and pine. The products are to be made using the...
If a dealer's profit, in units of $5000, on a new automobile can bo looked upon as a random variable X having the density function find the average profit perautomobile. S2(1 - x), S(*) 0
Merck & Co. conducted a study to test the promise of its experimental AIDS vaccine ( The Boston Globe , September 22, 2007). Volunteers in the study were all free of the human immunodeficiency virus...
Four cargo ships will be used for shipping goods from one port to four other ports (labeled 1, 2, 3, 4). Any ship can be used for making any one of these four trips. However, because of differences...
Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. (a) Make a scatter plot. (b) Find the correlation coefficient and...
Consider an electronic system consisting of four components, each of which must work for the system to function. The reliability of the system can be improved by installing several parallel units in...
A process is in statistical control with x = 199 and R = 3.5. The control chart uses a sample size of n= 4. Specifications are at 200 ± 8. The quality characteristic is normally distributed....
A post mix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup...
A certain form of cancer is known to be found in women over 60 with probability 0.07. A blood test exists for the detection of the disease but the test is not infallible. In fact, it is known that...
Warren Buffy is an enormously wealthy investor who has built his fortune through his legendary investing acumen. He currently has been offered three major investments and he would like to choose one....
Bill Heckle's last electric bill is shown below. a. What was the previous reading? b. What is the present reading? c. How many kilowatt-hours of electricity did Bill use during the service period...
The 21st Century Studios is about to begin the production of its most important (and most expensive) movie of the year. The movies producer, Dusty Hoffmer, has decided to use PERT/CPM to help plan...
The following data represent the per capita (average) disposable income (income after taxes) for the 50 states and the District of Columbia in 2009. With the rst class having a lower class limit of...
Passengers died when a water taxi sank in Baltimores Inner Harbor. Men are typically heavier than women and children, so when loading a water taxi, assume a worst-case scenario in which all...
A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random...
The port of Lajitas has three loading docks. The distance (in meters) between the loading docks is given in the table below: Three tankers currently at sea are coming into Lajitas. It is necessary to...
The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area. a. What is the chart called? b. How many homes were sold during the last month? c. What is...
The five most popular art museums in the world are Muse du Louvre, the Metropolitan Museum of Art, British Museum, National Gallery, and Tate Modern (The Art Newspaper, April 2012). Which of these...
Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early have a mean length of 47.4 cm. Assume both standard deviations are 2.5 cm...
To analyze the risk, or volatility, associated with investing in general electric common stock, a sample of the eight quarterly percent total returns was identified as shown below (charles schwab...
A regional beer distributor has $100,000 to spend on advertising in four markets, where each market responds differently to advertising. Based on observations of each market's response to several...