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....
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...
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...
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...
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...
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 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...
Complete a 1040A form for Kevin Hooper. Kevin is a butcher. He is single with two children, which he can claim as dependents. He also takes care of his dad, who lives with his family. Use the...
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...
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...
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...
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...
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,...
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...
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...
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...
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...
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...
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 graph shows supply and demand curves for the newest SuperWidget. a. What is the equilibrium price? b. What will happen if the price is set at $0.98? c. How many SuperWidgets are demanded at a...
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...
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,...
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...
A stockbroker, Richard Smith, has just received a call from his most important client, Ann Hardy. Ann has $50,000 to invest and wants to use it to purchase two stocks. Stock 1 is a solid blue-chip...
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...
Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear systems, and compare the approximations to the actual solution. a. 0.03x1 + 58.9x2 = 59.2, 5.31x1 6.10x2 =...
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...
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...
Use the tabular and graphical methods of descriptive statistics to help management develop a customer profile and to evaluate the promotional campaign. At a minimum, your report should include the...
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...
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...
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...
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)...
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...
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...
Bill has just completed his exams for the academic year and wants to celebrate by seeing every movie showing in theaters in his town and in six other neighboring cities. If he travels to another...
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...
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....
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...
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)....
Consider the following LP: Maximize z = 16x1 + 15x2 Subject to 40x1 + 31x2 124 - x1 + x2 1 X1 3 X1, x2 0 (a) Solve the problem by the simplex method, where the entering variable is the non basic...
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...
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...
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...
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...
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...
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?...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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...
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...
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,...
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...
A gear manufacturer is planning next weeks production run for four types of gears. If necessary, it is possible to outsource any type of gear from another gear company located nearby. The following...
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
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The...
Lisa Mendes and Brad Lee work in the sales department of an AT&T Wireless Store. Lisa has been signing in an average of 48 new cell phone customers every month with a standard deviation of 22, while...
Town Courts Listed below are amounts of court fine revenue and salaries paid to the town justices (based on data from the Poughkeepsie Journal). All amounts are in thousands of dollars, and all of...
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...
Preliminary plans are underway for the construction of a new stadium for a major league baseball team. City officials question the number and profitability of the luxury corporate boxes planned for...
In a Harris poll of 514 human resource professionals, 90% said the appearance of a job applicant is most important for a good first impression. a. Among the 514 human resource professionals who were...
A recent PwC Supply Global Chain survey indicated that companies that acknowledge the supply chain as a strategic asset achieve 70% higher performance. The Leaders in the survey point to...
There is a 70 percent chance that an airline passenger will check bags. In the next 16 passengers that check in for their fight at Denver International Airport, find the probability that (a) All will...
aA scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At = 0.01, is there enough evidence...
A researcher plans to investigate the belief that people are more comfortable in the summer sun when they wear clothing with light colors instead of clothing with dark colors. Does it make sense to...
In 2011, Six Flags St. Louis had ten roller coasters: The Screamin Eagle, The Boss, River King Mine Train, Batman the Ride, Mr. Freeze, Ninja, Tony Hawks Big Spin, Evel Knievel, Xcalibur, and Sky...
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....
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...
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...
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...
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case one of them does not show up. From past experience, Christine knows...
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....
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...
Use the shooting method to solve 7d2y/dx2 -2dy/dx - y + x = 0 With the boundary conditions y(0) = 5 and y(20) = 8.