Lun Ho Stadium sells 2,200 tickets for a concert. It sells a quarter of them at a 20% discount and a further 10% at a 40% discount. How much must it charge for tickets if it wants to generate an...
How much time do Americans living in or near cities spend waiting in traffic, and how much does waiting in traffic cost them per year? The data in the file Congestion include this cost for 31 cities....
A random sample of 25 bottles of buffered aspirin contain, on average, 325.05 mg of aspirin with a standard deviation of 0.5 mg. Find the 95% tolerance limits that will contain 90% of the aspirin...
Perform one iteration of the steepest ascent method to locate the maximum of (x, y) = 4x + 2y + x2 2x4 + 2xy -3y2 Using initial guesses x = 0 and y = 0. Employ bisection to find the optimal step...
A quality control specialist has sampled 25 widgets from the production line. A widget can have minor or major defects. Of the 25 sampled widgets, 4 have minor defects and 2 have major defects. What...
Automobile magazines often compare models and rate them in various ways. One question that is often asked of car owners, would you buy the same model again? Suppose that a researcher for one magazine...
The file P08_18.xlsx categorizes 250 randomly selected consumers on the basis of their gender, their age, and their preference for our brand or a competitors brand of a low-calorie soft drink. Use a...
In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. In a recent poll, 403 of 1122 adults with children under the age of...
Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is 0.1%. (a) What probability model seems well suited to this problem? Why? (b)...
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...
The file FISH.RAW contains 97 daily price and quantity observations on fish prices at the Fulton Fish Market in New York City. Use the variable log(avgprc) as the dependent variable. (i) Regress...
Summertime Tees sells two very popular styles of embroidered shirts in southern Florida: a tank top and a regular T-shirt. The cost of the tank top is $6, and the cost of the T-shirt is $8. The...
The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Using the...
Direct marketing companies are turning to the Internet for new opportunities. A recent study by Gruppo, Levey, & Co. showed that 73% of all direct marketers conduct transactions on the Internet....
The following data represent the number of different communication activities (e.g., cell phone, text messaging, e-mail, Internet, and so on) used by a random sample of teenagers over the past 24...
The following contingency table shows opinion about global warming among U.S. adults, broken down by political party affiliation (based on a poll in October 2012 by Pew Research found at...
Use the sample statistics from Exercise 29 and assume the number of vehicles in the sample is 75. (a) Estimate the number of vehicles whose speeds are between 63 miles per hour and 71 miles per hour....
Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées are strictly monitored for nutritional content to...
Determine the value of c that makes the function f(x, y) =cxy a joint probability density function over the range 0
Refer to the computer solution of Problem 12 in Figure THE MANAGEMENT SCIENTIST SOLUTION FOR THE QUALITY AIR CONDITIONING PROBLEM a. Identify the range of optimality for each objective function...
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season. a. The mean attendance per team for the season was 2.495 million, with a standard...
A U.S. Navy recruiting center knows from past experience that the heights of its recruits have traditionally been normally distributed with mean 69 inches. The recruiting center wants to test the...
Listed below are the gross amounts (in millions of dollars) earned from box office receipts for the movie Harry Potter and the Half-Blood Prince. The movie opened on a Wednesday, and the amounts are...
A fast-food chain randomly attaches coupons for prizes to the packages used to serve french fries. Most of the coupons say Play again, but a few are winners. Seventy-five percent of the coupons pay...
In Problem 5, if P(s1) = 0.25, P(s2) = 0.50, and P(s3) = 0.25, find a recommended decision for each of the three decision makers. (For the same decision problem, different utilities can lead to...
The Davis family of Atlanta, Georgia, is planning its annual summer vacation. Three vacation locations along with criteria weights and location ratings follow. What is the recommended...
A Monster.com poll of 3057 individuals asked: Whats the longest vacation you plan to take this summer? The following relative frequency distribution summarizes the results. ResponseRelative Frequency...
It is important for airlines to follow the published scheduled departure times of flights. Suppose that one airline that recently sampled the records of 246 flights originating in Orlando found that...
For a random sample of 125 British entrepreneurs, the mean number of job changes was 1.91 and the sample standard deviation was 1.32. For an independent random sample of 86 British corporate...
Refer to Problem 5.22. How many cookies in a batch of 100 should the manager expect to discard if company policy requires that all chocolate- chip cookies sold have at least four chocolate-chip...
In a survey of 4013 U.S. adults, 722 say they have seen a ghost. Construct a 99% confidence interval for the population proportion. Interpret the results. If convenient, use technology to construct...
The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams. Find a 95% two-sided confidence...
A study conducted by the Pew Research Center showed that 75% of 18to 34-year-olds living with their parents say they contribute to household expenses (The Wall Street Journal, October 22, 2012)....
Kruuk et al. (1989) used a stratified sample to estimate the number of otter (Lutra lutra) dens along the 1400-km coastline of Shetland, UK. The coastline was divided into 242 (237 that were not...
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). The overall score is...
A manufacturing company uses an acceptance scheme on production items before they are shipped. The plan is a two-stage one. Boxes of 25 are readied for shipment and a sample of 3 is tested for...
Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. They used a 5-point Likert-type self-esteem inventory; a 1 = strongly disagree and 5 = strongly agree. Their results...
Refer to the Buena School District bus data. Select the variable referring to the number of miles traveled last month, and then organize these data into a frequency distribution. a. What is a typical...
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample...
A manufacturer of pens has hired an advertising agency to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a...
Before installing a high-tech laser exhibit near the exit area, a museum of American technology found the average contribution by patrons was $2.75 per person. For a sample of 30 patrons following...
Washington County includes six towns that need emergency ambulance service. Because of the proximity of some of the towns, a single station may serve more than one community. The stipulation is that...
Use CRIME4.RAW for this exercise. (i) Reestimate the unobserved effects model for crime in Example 13.9 but use fixed effects rather than differencing. Are there any notable sign or magnitude changes...
A random sample of n = 9 structural elements is tested for compressive strength. We know that the true mean compressive strength = 5500 psi and the standard deviation is = 100 psi. Find the...
Impurities in the batch of final product of a chemical process often reflect a serious problem. From considerable plant data gathered, it is known that the proportion Y of impurities in a batch has a...
The Jessie Cohen Clothing Group owns factories in three towns (W, Y and Z) which distribute to three Cohen retail dress shops (in A, B, and C). Factory availabilities, projected store demands, and...
A candy company fills a 20-ounce package of Halloween candy with individually wrapped pieces of candy. The number of pieces of candy per package varies because the package is sold by weight. The...
Consider the following returns for two investments, A and B, over the past four years: a. Which investment provides the higher return? b. Which investment provides less risk? c. Given a risk-free...
Sharp Outfits is trying to decide whether to ship some customer orders now via UPS or wait until after the threat of another UPS strike is over. If Sharp Outfits decides to ship the requested...
A new-car dealer is leasing various brand-new models for the monthly rates (in dollars) listed below. Estimate the true population variance (and standard deviation) in leasing rates with 90%...
Suppose that a product is shipped in lots of size N = 5,000. The receiving inspection procedure used is single sampling with n = 50 and c = 1. (a) Draw the type-A OC curve for the plan. (b) Draw the...
Assume that you are working with the results from Problems 11.29 and 11.30. a. What is the value of the test statistic for the interaction effect? b. What is the value of the test statistic for the...
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes. (a) What is the probability that more than three customers arrive in...
A missile leaves the ground with an initial velocity ? 0? forming an angle ? 0? with the vertical as shown in figure The maximum desired altitude is ?R where R is the radius of the earth. The laws of...
Temperatures are measured at various points on a heated plate (Table P20.56). Estimate the temperature at (a) x = 4, y = 3.2, and (b) x = 4.3, y =2.7. x- 2 70.00 48. 15 35.03 27.07 25.00 60.00 90.00...
Based on a Saint Index survey, when 1000 adults were asked to identify the most unpopular projects for their hometown, 54% included Wal-Mart among their choices. Consider the probability that among...
Count the number of cars that pass by an intersection during consecutive five-minute periods on a highway leading into a city. Would these data allow us to use the Law of Large Numbers eventually to...
Baseballs vary somewhat in their rebounding coefficient. A baseball that has a large rebound coefficient will travel farther when the same force is applied to it than a ball with a smaller...
A study was conducted to compare the effect of four manganese rates ( from MnSO4) and four copper rates ( from CuSO4 5H2O) on the yield of soybeans. A large field was subdivided into 32 separate...
Use the data in ELEM94_95 to answer this question. The findings can be compared with those in Table 4.1. The dependent variable lavgsal is the log of average teacher salary and bs is the ratio of...
When possible, determine the truth values of the following symbolized statements. Let A and B be true, Y and Z false. P and Q have unknown truth values. If the truth value of the statement cannot be...
Ten individuals have participated in a diet-modification program to stimulate weight loss. Their weight both before and after participation in the program is shown in the following list is there...
A 2010 poll conducted by NBC asked respondents whowould win Super Bowl XLV in 2011. The responses by20,825 people are summarized in the following table. Team ......... Number of Votes Atlanta Falcons...
The following histogram summarizes the salaries (in $1,000,000s) for the 30 highest-paid players in the National Basketball Association (NBA) for the 2012 season (www.nba.com, data retrieved March...
Suppose that in Problem 9.16, the standard deviation is 0.012 gallon. a. Repeat (a) through (d) of Problem 9.16, assuming a standard deviation of 0.012 gallon. Data From Problem 9.16: A bottled water...
Aurora Radiological Services is a health care clinic that provides radiological imaging services (such as MRIs, X-rays, and CAT scans) to patients. It is part of Front Range Medical Systems that...
A recent MBA graduate, Dara, has gained control over custodial accounts that her parents had established. Currently, her money is invested in four funds but she has identified several other funds as...
John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division II national championship meet, where they both have a good shot at earning a medal in...
Hits to a high-volume Web site are assumed to follow Poisson distribution with a mean of 10,000 per day. Approximate each of the following: (a) The probability of more than 20,000 hits in a day (b)...
A manufacturer of semiconductor devices takes a random sample of size n of chips and tests them, classifying each chip as defective or non-defective. Let Xi = 0 if the chip is non-defective and Xi =...
A paper in the Journal of the Association of Asphalt Paving Technologists (Vol. 59, 1990) describes an experiment to determine the effect of air voids on percentage retained strength of asphalt. For...
Consider the monthly rent (Rent) of a home in Ann Arbor, Michigan, as a function of the number of bedrooms (Beds), the number of bathrooms (Baths), and square footage (Sqft). a. Access the data...
For the accompanying screen display, a simple random sample of size n = 40 was obtained from the population of duration times (seconds) of eruptions of the old Faithful geyser. a. What is the number...
Consumer Reports provided extensive testing and ratings for 24 treadmills. An overall score, based primarily on ease of use, ergonomics, exercise range, and quality, was developed for each treadmill...
In a random sample of 200 Phoenix residents who drive a domestic car, 165 reported wearing their seat belt regularly, while another sample of 250 Phoenix residents who drive a foreign car revealed...
The Streeter-Phelps model can be used to compute the dissolved oxygen concentration in a river below a point discharge of sewage (Figure), o = o s? ? k d L o /k d + k s ? k a (e ?kat? ? e ? (kd +...
Reconsider the model of Prob. 7.1-1. You are now to conduct sensitivity analysis by independently investigating each of the following six changes in the original model. For each change, use the...
Use the algorithm described in Sec. 10.3 to find the shortest path through each of the following networks, where the numbers represent actual distances between the corresponding nodes. (a) (b)...
Assume a frequency curve for the following sets of data. What shape will the curve probably take? Use the following key: NO = normal NS = negatively skewed PS = positively skewed BI = bimodal RE =...
Suppose that a player draws a card at random from a pack of cards, and wins $15 if an Ace, king, Queen, or Jack is obtained, and otherwise wins the face value of the card in dollars. What is the...
The National Fire Protection Association reported that house fires in the United States result in $6.8 billion in losses annually (National Fire Protection Association, September 2015). Suppose a...
A company operates four machines three shifts each day. From production records, the following data on the number of breakdowns are collected: Test the hypothesis (using a = 0.05) that breakdowns are...
Using principles from physics it can be shown that when a cable is hung between two poles, it takes the shape of a curve y = f(x) that satisfies the differential equation where p is the linear...
Listed below are the lead concentrations (in mg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are...
Solve the following LP problem by using the graphical procedure and by using Excel: Maximize profit = 4X + 5y Subject to the constraints 5X + 2y < 40 3X + 6y < 30 X <7 2X y > 3 x,y >0
Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test. One group had exactly 1 hour in...
Which of the following are probability distributions? Why? (a) RANDOM VARIABLE X PROBABILITY 2 ................... 0.1 1 ................. 0.2 0 ................... 0.3 1 ................... 0.25 2...
The National Center for Health Statistics reported the following data on the number of children born in individual pregnancies in 1996 and 2006 (The World Almanac, 2010): a. Define a random variable...
Sascha owns stock in Lewis Corp and she bought a $1,000 corporate bond. The bond pays 6.34% annual interest. a. How much will Sascha receive in annual interest? b. How much will Sascha receive in...
Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of...
A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200...
Social log-ins involve recommending or sharing an article that you read online. According to Janrain ("T. Wayne, One Log-In Catches on for Many Sites," The New York Times, May 2, 2011, p. B2), in the...
For a certain manufacturer, the production and sale of each additional unit yields an additional profit of $10. The sale of 1000 units yields a profit of $4000. (a) Find the profit equation. (b) Find...
The stepping-stone method is being used to solve a transportation problem. There is only one empty cell having a negative improvement index, and this index is 2. The stepping-stone path for this...
Cycle time in manufacturing can be viewed as the total time it takes to complete a product from the beginning of the production process. The concept of cycle time varies according to the industry and...
John Isaac Inc., a designer and installer of industrial signs, employs 60 people. The company recorded the type of the most recent visit to a doctor by each employee. A national assessment conducted...
While playing a coin- tossing game in which you are to guess whether heads or tails will appear, you observe 30 heads in a string of 50 coin tosses. (a) Test the null hypothesis that this coin is...
Tires salvaged from a train wreck are on sale at the Getrich Tire Company. Of the 15 tires offered in the sale, 5 have suffered internal damage and the remaining 10 are damage free. You randomly...
The speeds of 55 cars were measured by a radar device on a city street: a. Classify these data into a grouped frequency distribution by using class boundaries 1218, 1824, . . . , 4854. b. Find the...
A researcher is evaluating customer satisfaction with the service and coverage of two phone carriers. Each individual in a sample of n = 25 uses one carrier for two weeks and then switches to the...