A simple random sample of the weights of 19 green M&Ms has a mean of 0.8635 g and a standard deviation of 0.0570 g (as in Data Set 20 in Appendix B). Use a 0.05 significance level to test the claim...
Brent Bonnin begins his senior year of college filled with excitement and a twinge of fear. The excitement stems from his anticipation of being done with it allprofessors, exams, problem sets,...
Suppose that the average waiting time for a patient at a physicians office is just over 29 minutes. To address the issue of long patient wait times, some physicians offices are using wait-tracking...
Medical records show that 0.01% of the general adult population not belonging to a high-risk group (for example, intravenous drug users) are HIV-positive. Blood tests for the virus are 99.9% accurate...
Industrial Chemicals produces two adhesives used in the manufacturing process for airplanes. The two adhesives, which have different bonding strengths, require different amounts of production time:...
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...
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) ..............
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...
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...
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...
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)...
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...
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...
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...
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 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...
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...
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...
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,...
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...
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...
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...
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...
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....
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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...
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...
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...
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,...
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...
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...
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)...
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...
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...
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...
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...
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...
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...
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...
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 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?...
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...
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,...
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...
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...
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...
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)....
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...
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...
A process is in statistical control with x = 202.5 and s = 2.0. Specifications are at LSL = 196 and USL = 206. (a) Estimate the process capability with an appropriate process capability ratio. (b)...
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...
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 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...
Use the pie chart of a person's monthly income. a. Suppose the total monthly income is $5,800. Determine the amounts in each income category. b. Suppose the income from the secondary job was $1,225....
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...
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 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...
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...
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...
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...
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...
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....
PharmaPlus operates a chain of 30 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 85 full-time equivalent pharmacists...
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...
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.
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...
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 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...
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...
The MJK Manufacturing Company must produce two products in sufficient quantity to meet contracted sales in each of the next three months. The two products share the same production facilities, and...
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
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...
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...
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...
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...
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...
The Audiofile Company produces boomboxes. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the...
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...