The number of calls arriving at a switchboard from noon to 1 PM during the business days Monday through Friday is monitored for six weeks (i.e., 30 days). Let X be defined as the number of calls...
The following is a list of 29 hospitals in the Cincinnati (Ohio) and Northern Kentucky region. The hospitals are identified by numbering them 00 through 28. Also included is whether the hospital is a...
The 92 million Americans of age 50 and over control 50 percent of all discretionary income (AARP Bulletin, March 2008). AARP estimated that the average annual expenditure on restaurants and carryout...
In a survey on supernatural experiences, 722 of 4013 adult Americans surveyed reported that they had seen or been with a ghost (What Supernatural Experiences Weve Had, USA Today, February 8, 2010)....
The data in Table 9E.1 represent individual observations on molecular weight taken hourly from a chemical process. The target value of molecular weight is 1,050 and the process standard deviation is...
Juhn and Sons Wholesale Fruit Distributors (of Problem 12-19) are considering building a second platform or gate to speed the process of loading their fruit trucks. This, they think, will be even...
The arrival time of an elevator in a 12- story dormitory is equally likely at any time range during the next 4 minutes. a. Calculate the expected arrival time. b. What is the probability that an...
An average of 15 aircraft accidents occur each year (The World Almanac and Book of Facts, 2004). a. Compute the mean number of aircraft accidents per month. b. Compute the probability of no accidents...
In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surveyed never travel using commercial airlines. Identify the population and sample. Is the value of...
Suppose that the manufacturing company of Exercise 5.36 decides to change its acceptance scheme. Under the new scheme an inspector takes one at random, inspects it, and then replaces it in the box; a...
Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that...
The graph shows the influence of the temperature T on the maximum sustainable swimming speed of Coho salmon. (a) What is the meaning of the derivative S'(T)? What are its units? (b) Estimate the...
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1000 between newspaper advertising and radio advertising. Management decided that at least...
A researcher plans to conduct an experiment evaluating the effect of a treatment. A sample of n = 9 participants is selected and each person receives the treatment before being tested on a...
Working with chemists at Virginia Tech and George Washington Universities, landscape contractor Kenneth Golding blended his own fertilizer, called "Golding-Grow." It consists of four chemical...
California and New York lead the list of average teachers salaries. The California yearly average is $64,421 while teachers in New York make an average annual salary of $62,332. Random samples of 45...
The figure shows a sector of a circle with central angle θ. Let A (θ) be the area of the segment between the chord PR and the arc PR. Let B (θ) is the area of the triangle PQR. Find...
The Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA today, February 16, 2012). Suppose the survey sampled 200 men...
A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and...
If f is the function whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f to estimate the value of each derivative. (a) h (2) (b) g(2) y= f(x)
A vertical, irregularly shaped plate is submerged in water. The table shows measurements of its width, taken at the indicated depths. Use Simpsons rule to estimate the force of the water against the...
Chris Lane, the head professional at Royal Oak Country Club, must develop a schedule of matches for the couples golf league that begins its season at 4:00 P.M. tomorrow. Eighteen couples signed up...
Harbor Dunes Golf Course was recently honored as one of the top public golf courses in South Carolina. The course, situated on land that was once a rice plantation, offers some of the best views of...
A survey indicates that the vast majority of college students own their own personal computers. What information would you want to know before you accepted the results of this survey?
Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20 second time period, is characterized by the following discrete...
The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions. Both are normally distributed. For the net sales, the mean...
The sales manager for a publisher of college textbooks has six traveling salespeople to assign to three different regions of the country. She has decided that each region should be assigned at least...
Data collected by the Oil Price Information Service from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28...
Appliance Center sells a variety of electronic equipment and home appliances. For the last 4 years, 2010 through 2013, the following quarterly sales (in $ millions) were reported. Determine a typical...
Recall the Innis Investments problem. Letting S = units purchased in the stock fund M = units purchased in the money market fund Leads to the following formulation: Min8S + 3M s.t. 50S + 100M ...
Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection....
Hogs & Dawgs is an ice cream parlor on the border of north-central Louisiana and southern Arkansas that serves 43 flavors of ice creams, sherbets, frozen yogurts, and sorbets. During the summer Hogs...
Alexander Industries is considering purchasing an insurance policy for its new office building in St. Louis, Missouri. The policy has an annual cost of $10,000. If Alexander Industries doesn't...
The hospital administrator at St. Charles General must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and obstetrics. In anticipation of this staffing...
Using Bayes decision rule, consider the decision analysis problem having the following payoff table (in units of thousands of dollars): (a) Which alternative should be chosen? What is the resulting...
Ajax Fuels, Inc., is developing a new additive for airplane fuels. The additive is a mixture of three ingredients: A, B, and C. For proper performance, the total amount of additive (amount of A+...
A company produces two products, A and B. The unit revenues are $2 and $3, respectively. Two raw materials, M1 and M2, used in the manufacture of the two products have respective daily availabilities...
The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of...
Most air travelers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than paper ticketing. However, in...
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the...
For each situation in Exercise 7.25, find an interval that contains approximately 95.44 percent of all the possible sample proportions. In Exercise 7.25 In each of the following cases, find the mean,...
The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading (The Wall Almanac, 2012). Sample data showing the math and writing scores for a sample of 12...
At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE...
Data on oxide thickness of semiconductors are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426, 410, 435, 436, 428, 411, 426, 409, 437, 422, 428, 413, 416. (a) Calculate a point...
Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for regular gasoline and $0.50 per gallon for premium gasoline. Each gallon of...
Katherine D'Ann, from Problem 1-17, has become concerned that sales may fall, as the team is on a terrible losing streak, and attendance has fallen off. In fact, Katherine believes that she will sell...
A sample of 426 U.S. adults age 50 and older were asked how important a variety of issues were in choosing for whom to vote in the 2012 presidential election (AARP B, March 2012). a. What is the...
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the...
A survey conducted by a song rating service finds that the percentages of listeners familiar with Poker Face by Lady Gaga who would give the song ratings of 5, 4, 3, 2, and 1 are, respectively, 43...
A coffee shop tracks sales and has observed the distribution in the following table. What is the average daily sales that it can expect? #Of Sales 145 150 155 160 170 Probability 0.15 022 0.370.19...
An experiment to determine the effect of several methods of preparing cultures for use in commercial yogurt was conducted by a food science research group. Three batches of yogurt were prepared using...
The length of time Y in minutes required to generate a human reflex to tear gas has density function(a) What is the mean time to reflex?(b) Find E(Y2) andVar(Y). (ev/4, osy < oc, elsewhere. fiy)
Since 1985, average mortgage interest rates have fluctuated from a low of nearly 3% to a high of over 14%. Is there a relationship between the amount of money people borrow and the interest rate...
The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random sampling of a large cell phone company found the following monthly cell phone charges: At the 0.05...
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes...
After analyzing the costs of various options for obtaining brackets, Ross White (see Problems 6-25, 6-26, and 6-27) recognizes that although he knows that lead time is 2 days and demand per day...
Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey had 989 respondents, 759 males and 230 females....
A group of medical professionals is considering the construction of a private clinic. If the medical demand is high (i.e., there is a favorable market for the clinic), the physicians could realize a...
Consider the LP formulation given in Problem 7-31. If the second constraint is changed from 2X + 3Y 240 to 2X + 4Y 240, what effect will this have on the optimal solution?
Forty-two percent of primary care doctors think their patients receive unnecessary medical care (Readers Digest, December 2011/January 2012). a. Suppose a sample of 300 primary care doctors were...
A recent survey points to a wholesale collapse of traditional TV viewing. The study found that the percentage of consumers watching broadcast or cable TV in a typical week plummeted from 71% in 2009...
The amount of time Americans spend watching television is closely monitored by rms such as A. C. Nielsen because this helps to determine advertising pricing for commercials. (a) Do you think the...
Recently, management at Oak Tree Golf Course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comments of...
Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. Anew client requested that the firm handle an $80,000 portfolio. As an initial investment...
According to the 2010 Census, 11.4% of all housing units in the United States were vacant. A county supervisor wonders if her county is different from this. She randomly selects 850 housing units in...
One of our best customers has had a major plant breakdown and wants us to make as many widgets for him as possible during the next few days, until he gets the necessary repairs done. With our...
Table 6E.9 presents 20 subgroups of five measurements on the critical dimension of a part produced by a machining process. (a) Set up x and R control charts on this process. Verify that the process...
A hotel claims that 90% of its customers are very satisfied with its service. Answer the following questions based on a random sample of eight customers: a. What is the probability that exactly seven...
George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund...
Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a. Find the percentiles P1 and P99. b. Dr. Puretz sees...
1. The student news service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students who attend CMSU. They create and distribute a survey of 14 questions...
Consider the piston ring data in Table 6.3. Estimate the process capability assuming that specifications are 74.00 0.035 mm.
The total compensation of the chief executive officers (CEOs) of the 800 largest U.S. companies (the Fortune 800) averaged (in thousands of dollars) 10,307.31 with a standard deviation (also in...
Doctors Care is a walk-in clinic, with locations in Georgetown, Moncks Corner, and Aynor, at which patients may receive treatment for minor injuries, colds, and flu, as well as physical examinations....
Farris Billiard Supply sells all types of billiard equipment, and is considering manufacturing their own brand of pool cues. Mysti Farris, the production manager, is currently investigating the...
Trial A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a phase I test of bexarotene...
Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...
A Randstad/Harris interactive survey reported that 25% of employees said their company is loyal to them (USA Today, November 11, 2009). Suppose 10 employees are selected randomly and will be...
Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012)....
The average moviegoer sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 40 moviegoers from a large...
Upon hearing that Ross White (see Problems 6-25 and 6-26) is considering producing the brackets in house, the vendor has notified Ross that the purchase price would drop from $15 per bracket to...
The Calhoun Textile Mill is in the process of deciding on a production schedule. It wishes to know how to weave the various fabrics it will produce during the coming quarter. The sales department has...
There are five sales associates at Mid-Motors Ford. The five associates and the number of cars they sold last week are: Sales Associate Cars Sold Peter Hankish....... 8 Connie Stallter ....... 6 Juan...
A reversible chemical reaction 2A + B C, can be characterized by the equilibrium relationship K = cc/c2u cb Where the nomenclature ci represents the concentration of constituent i. Suppose that we...
The Bridgeport city manager and the chief of police agreed on the size of the police force necessary for normal daily operations. However, they need assistance in determining the number of additional...
Use the data in GPA2.RAW for this exercise. (i) Consider the equation where colgpa is cumulative college grade point average, hsize is size of high school graduating class, in hundreds, hsperc is...
Use Liebmanns method to solve for the temperature of the square heated plate in Figure, but with the upper boundary condition increased to 120C and the left boundary decreased to 60C. Use a...
A marketing researcher wants to estimate the mean savings ($) realized by shoppers who showroom. Showrooming is the practice of inspecting products in retail stores and then purchasing the products...
A survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools. Two of the questions concerned eye and hair color. In the survey, the...
Match the graph of each function in (a)(d) with the graph of its derivative in IIV. Give reasons for your choices. (b) (a) y: (c) (d) II III IV
The Gleaming Company has just developed a new dishwashing liquid and is preparing for a national television promotional campaign. The firm has decided to schedule a series of 1-minute commercials...
The variance in drug weights is critical in the pharmaceutical industry. For a specific drug, with weights measured in grams, a sample of 18 units provided a sample variance of s2 = .36. a. Construct...
A semicircle with diameter PQ sits on an isosceles triangle to PQR form a region shaped like an ice-cream cone, as shown in the figure. If A(θ) is the area of the semicircle and B(θ)is...
The Kroger Company is one of the largest grocery retailers in the United States, with over 2000 grocery stores across the country. Kroger uses an online customer opinion questionnaire to obtain...
The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown. However, records indicate that the mean time for an oil change is 11.4 minutes,...
Consider the following linear programming problem: Max 3A + 3B s.t. 2A + 4B 12 6A + 4B 24 A, B 0 a. Find the optimal solution using the graphical solution procedure. b. If the objective function...
After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to the recession and increased border enforcement by the United States (Los Angeles Times,...
Pizza King (PK) and Noble Greek (NG) are competitive pizza chains. PK believes there is a 25% chance that NG will charge $6 per pizza, a 50% chance NG will charge $8 per pizza, and a 25% chance that...
A study of generation related carbon monoxide deaths showed that a sample of 6 recent years had a standard deviation of 4.1 deaths per year. Find the 99% confidence interval of the variance and...
The Cincinnati Enquirer, in its Sunday business supplement, reported that full-time employees in the region work an average of 43.9 hours per week. The article further indicated that about one-third...