The survey in Example 3.4 collected much other data on the subjects. Another of the surveys questions asked whether the respondent agreed with the following statement: When I look at a new issue of...
Indicate whether each of the following statements specify descriptive statistics ( because it describes sets of actual observations) or inferential statistics ( because it generalizes beyond sets of...
Previous studies have shown that urban bus drivers have an extremely stressful job, and a large proportion of drivers retire prematurely with disabilities due to occupational stress. These stresses...
Alpha Airlines has ordered a new fleet of DC- 717s. At this stage of the contract, Alpha's operations manager must specify the seating configuration on the aircraft that will be used on the...
The following profit payoff table was presented in Problem 1. Suppose that the decision maker obtained the probability assessments P(s1) - 0.65, P(s2) - 0.15, and P(s3) = 0.20. SELF test Use the...
Examine the LP formulation in Problem 7-29. The problems second constraint reads 6X + 4Y 24 hours (time available on machine 2) If the firm decides that 36 hours of time can be made available on...
1. Develop numerical summaries of the data. 2. Use regression analysis to develop an estimated regression equation that could be used to predict the value score given the price of the car. 3. Use...
The Sweet Tooth Candy Company knows it will need 10 tons of sugar six months from now to implement its production plans. Jean Dobson, Sweet Tooths purchasing manager, has essentially two options for...
In 1986, the New York City subway fare cost $1, and as of this writing, it now costs $2, so the price doubled. In the accompanying graph, the $2 bill is twice as long and twice as tall as the $1...
Football player Tom Brady completes a pass 63.7% of the time. Find the probability that (a) The first pass he completes is the second pass, (b) The first pass he completes is the first or second...
Soft tissue follows an exponential deformation behavior in uniaxial tension while it is in the physiologic or normal range elongation. This can be expressed as
The Brennan Aircraft Division of TLN Enterprises operates a large number of computerized plotting machines. For the most part, the plotting devices are used to create line drawings of complex wing...
A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Is the politicians...
From his statistics grades, Guchi has aX of 60 and SX = 20. Pluto has aX of 60 and SX = 5. (a) Who is the more inconsistent student, and why? (b) Who is more accurately described as a 60 student, and...
The file statepop.dat, used in Example 6.5, also contains information on total number of farms, number of veterans, and other items. 1. Plot the total number of farms versus the probabilities of...
A proposed network of irrigation canals is described in the accompanying diagram. At peak demand, the flows at interchanges A, B, C, and D are as shown. (a) Find the possible flows. (b) If canal BC...
Tim Cooper plans to invest money in a mutual fund that is tied to one of the major market indices, either the S&P 500 or the Dow Jones Industrial Average. To obtain even more diversification, Tim has...
Ray Anderson, owner of Anderson Ski Lodge in upstate New York, is interested in forecasting the number of visitors for the upcoming year. The following data are available, by quarter, from the first...
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited the salon were 40, 30, 28, 22, 36, 16, and 50. It can be assumed that...
A restaurant chain routinely surveys its customers. Among other questions, the survey asks each customer whether he or she would return and to rate the quality of food. Summarizing hundreds of...
An article in the ASCE Journal of Energy Engineering (Overview of Reservoir Release Improvements at 20 TVA Dams, Vol. 125, April 1999, pp. 117) presents data on dissolved oxygen concentrations in...
The researchers cited in the previous problem (Liguori & Robinson, 2001) also examined the effect of caffeine on response time in the driving simulator. In a similar study, researchers measured...
Records show that 5% of all college students are foreign students who also smoke. It is also known that 50% of all foreign college students smoke. What percent of the students at this university are...
The Pew Research Group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: Do you believe that it is morally wrong...
Part 1 Even after the recent public experiment about cereal box weights, Consumers Concerned About Cereal Cheaters (CCACC) remains convinced that Oxford Cereals has misled the public. The group has...
Seasons Pizza recently hired additional drivers and as a result now claims that its average delivery time for orders is under 45 minutes. A sample of 30 customer deliveries was examined, and the...
Bismarck Manufacturing intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed cost for proposal A is $65,000, and for proposal B, $34,000....
Construct a frequency table for the weights (in pounds) given below of 36 cans of regular Coke. Start the first bin at 0.7900 pound and use a bin width of 0.0050 pound. Discuss your findings. 0.8192...
A random sample of 5222 permanent dwellings on the entire Navajo Reservation showed that 1619 were traditional Navajo hogans (Navajo Architecture: Forms, History, Distributions by Jett and Spencer,...
The number of errors in a textbook follow a Poisson distribution with a mean of 0.01 error per page. What is the probability that there are three or less errors in 100 pages?
The yield of a chemical process is being studied. From previous experience yield is known to be normally distributed and = 3. The past five days of plant operation have resulted in the following...
Find all 2 x 2 matrices A = [ajk], B = [bjk], C = [cjk] and general scalar.
The probability that a student pilot passes the written test for a private pilot's license is 0.7. Find the probability that the student will pass the test (a) On the third try; (b) Before the fourth...
Michigan Motors Corporation (MMC) just introduced a new luxury touring sedan. As part of its promotional campaign, the marketing department decided to send personalized invitations to test-drive the...
In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of...
The company in Exercise 13 performed another experiment in which they tested three website designs to see which one would lead to the highest probability of purchase. The first (design A) used...
Can you use Twitter activity to forecast box office receipts on the opening weekend? The following data (stored in Twitter Movies) indicate the Twitter activity ("want to see") and the receipts ($)...
The Garbage Project at the University of Arizona reports that the amount of paper discarded by households per week is normally distributed with mean 9.4 lb and standard deviation 4.2 lb. What...
Find the potential between two infinite coaxial cylinders of radii r 1 and r 2 having potentials U 1 and U 2 , respectively. Find the complex potential. r 1 = 0.5 r 2 = 2.0, U 1 = 110V, U 2 = 110 V.
A manufacturing company has developed a fuel efficient machine for cleaning carpet because it delivers carpet cleaner so rapidly. Of interest is a random variable Y, the amount in gallons per minute...
Motorists arrive at a Gulf gas station at the rate of two per minute during morning hours. a. What is the probability that more than two motorists will arrive at the Gulf gas station during a...
The Hawk-Eye electronic system is used in tennis for displaying an instant replay that shows whether a ball is in bounds or out of bounds so players can challenge calls made by referees. In the most...
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50, and that 25% are under the age of 50 and conduct their banking online. a)...
An airlines data indicate that 50 percent of people who begin the online process of booking a flight never complete the process and pay for the flight. To reduce this percentage, the airline is...
The maintenance base for Friendly Skies Airline has facilities for overhauling only one airplane engine at a time. Therefore, to return the airplanes to use as soon as possible, the policy has been...
In the layout of a printed circuit board for an electronic product, there are 12 different locations that can accommodate chips. (a) If five different types of chips are to be placed on the board,...
Table 4E.11 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a hospital. In addition to satisfaction, data were collected on patient age and an...
An article in Quality Progress describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of...
The William G. Harding School of Public Affairs would like to evaluate its affirmative action program for students. After extended discussion, the faculty decides that all students will take the...
You are given the annual data in Table 8-5 for the United States for the period 1971 to 1986. Consider the following aggregate demand function for passenger cars: InYi = B1 + B2InX2t + B3InX3t +...
Answer true or false to the following statements: 1. Hypothetical reasoning is useful when the evidence by itself does not provide the solution to the problem. 2. Hypotheses are derived directly from...
A light bulb manufacturer wants to estimate the total number of defective bulbs contained in all of the boxes shipped by the company during the past week. Production personnel at this company have...
A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage. (a)...
Two thousand randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way classification of the responses based on the...
The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.37. Construct a 95% two-sided confidence interval...
A large industrial firm purchases several new word processors at the end of each year, the exact number depending on the frequency of repairs in the previous year. Suppose that the number of word...
Trapeze Investments is a venture capital firm that is currently evaluating six different investment opportunities. There is not sufficient capital to invest in all of these, but more than one will be...
1. Use descriptive statistics to summarize the data from this study. What are your preliminary conclusions about the independence of the response (Yes or No) and party affiliation for each of the...
A market research consultant hired by a leading soft drink company wants to determine the proportion of consumers who favor its low-calorie brand over the leading low-calorie competitor in a...
Distributions of gestation periods (lengths of pregnancy) for humans are roughly bell-shaped. The mean gestation period for humans is 272 days, and the standard deviation is 9 days for women who go...
A population has four members (called A, B, C, and D). You would like to select a random sample of n = 2, which you decide to do in the following way: Flip a coin; if it is heads, the sample will be...
The management of the Albert Hanson Company is trying to determine the best product mix for two new products. Because these products would share the same production facilities, the total number of...
The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following...
TN Communications provides cellular telephone services. The company is planning to expand into the Cincinnati area and is trying to determine the best location for its trans- mission tower. The tower...
Show how the following objective function can be presented in equation form: Minimize z = max {|x1 - x2 + 3x3|, | - x1 + 3x2 - x3|} X1, x2, x3 0 (Hint: |a| b is equivalent to a b and a - b.)
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution...
A professor has learned that three students in her class of 20 will cheat on the exam. She decides to focus her attention on four randomly chosen students during the exam. a. What is the probability...
You are considering the risk-return profile of two mutual funds for investment. The relatively risky fund promises an expected return of 8% with a standard deviation of 14%. The relatively less risky...
Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage....
The Associated Press Team Marketing Report listed the Dallas Cowboys as the team with the highest ticket prices in the National Football League (USA Today, October 20, 2009). Data showing the average...
1. Whats the estimated value from the ANOVA regression given by the slopes in Table 4 for the change in sales in the Midwest if ads feature the small labor partition? Whats the simple way to get this...
The weights of nominal 1-kg containers of a concentrated chemical ingredient are shown in Table 5E.14. Prepare a normal probability plot of the data and estimate process capability. 0.9475 0.9775...
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provide housing for most of these women. After recording data for a whole...
A telemarketing company has a special letter opening machine that opens and removes the contents of an envelope. If the envelope is fed improperly into the machine, the contents of the envelope may...
Fifty cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution. Vacancy Rate (in percent) ......Frequency 0 up to 3 .............. 5 3 up...
Snowfalls occur randomly and independently over the course of winter in a Minnesota city. The average is one snowfall every 3 days. a. What is the probability of five snowfalls in 2 weeks? b. Find...
Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers....
The senior executives of an oil company are trying to decide whether to drill for oil in a particular field in the Gulf of Mexico. It costs the company $600,000 to drill in the selected field....
The analyst in Exercise 8 wants to know if the mean purchase amount of all transactions is at least $40. a) What is the null hypothesis? b) Is the alternative one- or two-sided? c) 'What is the value...
One of the most profitable items at A1s Auto Security Shop is the remote starting system. Let x be the number of such systems installed on a given day at this shop. The following table lists the...
Health Care Knowledge Systems reported that an insured woman spends on average 2.3 days in the hospital for a routine childbirth, while an uninsured woman spends on average 1.9 days. Assume two...
Manning??s formula for a rectangular channel can be written as Where Q = flow (m3/s), n = a roughness coefficient, B = width (m), H = depth (m), and S = slope. You are applying this formula to a...
Due to a crisis in subprime lending, obtaining a mortgage has become difficult even for people with solid credit. In a report by the Associated Press (August 25, 2007), sales of existing homes fell...
Barbara Dwyer, the manager at Lux Hotel, makes every effort to ensure that customers attempting to make phone reservations do not have to wait too long to speak with a reservation specialist. Since...
Use the data in Problem 4-26 to find the best quadratic regression model. (There is more than one to consider.) How does this compare to the models in Problems 4-26 and 4-27? In Problem 4-27, Use the...
A zoo has categorized its visitors into three categories: member, school, and general. The member category refers to visitors who pay an annual fee to support the zoo. Members receive certain...
The Genetics and IVF Institute conducted clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the...
A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked down the details of these transactions to see that the correct...
In the simple regression model (5.16), under the first four Gauss-Markov assumptions, we showed that estimators of the form (5.17) are consistent for the slope, (1 Given such an estimator, define an...
Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 96% (national fire Protection association website, January,...
Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands)...
Given the recent economic downturn, only 60% in a graduating class of 250 will find employment in the first round of a job search. You have 20 friends who have recently graduated. a. Discuss the...
Based on Sonderman and Abrahamson (1985). In treating a brain tumor with radiation, physicians want the maximum amount of radiation possible to bombard the tissue containing the tumors. The...
In a hospital study, it was found that the standard deviation of the sound level from 20 areas designated as casualty doors was 4.1 dBA and the standard deviation of 24 areas designated as operating...
Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following problem interactively: Maximize Z = 2x1 x2 + 5x3 3x4 + 4x5, Subject to and xj is binary, for j = 1, 2, . . . , 5....
Refer to Sec. 3.4 (subsection entitled "Controlling Air Pollution") for the Nori & Leets Co. problem. After the OR team obtained an optimal solution, we mentioned that the team then conducted...
Suppose that a mathematical model fits linear programming except for the restrictions that 1. At least one of the following two inequalities holds: 2. At least two of the following three inequalities...
The following nonlinear, parasitic ODE was suggested by Hornbeck (1975): dy1/dt = 5(yl t2) If the initial condition is y1(0) = 0.08, obtain a solution from = 0 to 5: (a) Analytically. (b) Using the...
A company receives a very large shipment of components. A random sample of 16 of these components will be checked, and the shipment will be accepted if fewer than 2 of these components are defective....
Suppose that a random sample of 142 graduate-admissions personnel was asked what role scores on standardized tests (such as the GMAT or GRE) play in the consideration of a candidate for graduate...