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...
Using the data from Problem 9-20 plus the unit production costs shown in the following table, which locations yield the lowest cost? Location Production Costs Decatur ........... $ 50 Minneapolis...
Suppose that a certain brand of light bulb has a mean life of 600 hours and a standard deviation of 53 hours. (a) A histogram of the data indicates the sample data follow a bell-shaped distribution....
Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have solder defects and 3% have some surface-finish defects. The occurrences of...
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...
In PC Techs product mix problem, assume there is another PC model, the VXP that the company can produce in addition to Basics and XPs. Each VXP requires eight hours for assembling, three hours for...
MIL STD 105E is being used to inspect incoming lots of size N = 5,000. Single sampling, general inspection level II, and an AQL of 0.65% are being used. (a) Find the normal, tightened, and reduced...
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...
Brian looked up prices of thirteen used Chevrolet HHR "retro" trucks in the classified ads and found these prices: $8,500, $8,500, $8,500, $9,900, $10,800, $10,800, $11,000, $12,500, $12,500,...
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...
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 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...
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...
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...
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...
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...
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...
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 +...
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...
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...
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 recommended air pressure in a basketball is between 7 and 9 pounds per square inch (psi). When dropped from a height of 6 feet, a properly inflated basketball should bounce upward between 52 and...
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...
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 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...
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...
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 following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2. a. Develop a crosstabulation for the...
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...
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...
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...
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...
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...
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 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...
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...
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...
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...
The data in FERTIL2.RAW includes, for women in Botswana during 1988, information on number of children, years of education, age, and religious and economic status variables. (i) Estimate the model...
Using smoothing constants of 0.6 and 0.9 develop forecasts for the sales of Cool-Man air conditioners. Data from Sales of Cool-Man air conditioners have grown steadily during the past 5 years: YEAR...
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...
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 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....
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...
The number of defects per batch of camping chairs inspected (a) Find the mean, variance, and standard deviation of the probability distribution, (b) Interpret the results. 5 Defects 0 Probability...
Construct the following syllogisms. 1. An EIO-2 syllogism with these terms-major-dogmatists; minor- theologians; middle-scholars who encourage freethinking. 2. An unconditionally valid syllogism in...
427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online (based on a survey by the Consumer Reports Research...
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of...
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...
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...
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...
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...
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 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...
A fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for hamburgers is normally distributed with mean 313 and standard deviation 57; the demand for chicken...
Television stations sometimes solicit feedback volunteered by viewers about a televised event. Following a televised debate between Barack Obama and Mitt Romney in the 2012 U. S. presidential...
The titanium content in an aircraft-grade alloy is an important determinant of strength. A sample of 20 test coupons reveals the following titanium content (in percent): 8.32, 8.05, 8.93, 8.65, 8.25,...
Collinas Italian Caf in Houston, Texas, advertises that carryout orders take about 25 minutes (Collinas website, February 27, 2008). Assume that the time required for a carryout order to be ready for...
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...
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...
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...
Surface defects have been counted on 25 rectangular steel plates, and the data are shown in Table 6E.9. Set up a control chart for nonconformities using these data. Does the process producing the...
What promotion blend would be most appropriate for producers of the following established products? Assume average- to large-sized firms in each case and support your answer. a. Chocolate candy bars....
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.)
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,...
Johnson Electronics Corporation makes electric tubes. It is known that the standard deviation of the lives of these tubes is 150 hours. The companys research department takes a sample of 100 such...
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...
A recent study indicates that people tend to select video game avatars with characteristics similar to those of their creators (Blisle & Onur, 2010). Participants who had created avatars for a...
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application, a...
An article in the Journal of Aircraft (Vol. 23, 1986, pp. 859864) describes a new equivalent plate analysis method formulation that is capable of modeling aircraft structures such as cranked wing...
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...
Four years ago, Victor Consuelo purchased a very reliable automobile (as rated by a reputable consumer advocacy publication). His warranty has just expired, but the manufacturer has just offered him...
An economist would like to estimate the 95% confidence interval for the average real estate taxes collected by a small town in California, ravaged by the economic crisis. In a prior analysis, the...
A telephone survey conducted by the Maritz Marketing Research Company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of those surveyed...
Given that the data in Exercise 3 were obtained from students who made a decision to submit their SAT scores to a Web site, what type of sample is given in that exercise? If we had a much larger...
A random sample of 1,562 undergraduates enrolled in management ethics courses was asked to respond, on a scale from 1 (strongly disagree) to 7 (strongly agree), to this proposition: Senior corporate...
GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) Write the hypotheses for a right-tailed...
A study undertaken by the Miami-Dade Supervisor of Elections in 2002 revealed that 44% of registered voters are Democrats, 37% are Republicans, and 19% are others. If two registered voters are...
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...
The following table lists the presidents of the United States (as of October 2010) and their state of birth. (a) Construct a frequency bar graph for state of birth. (b) Which state has yielded the...
Below we give the overall dining experience ratings (Outstanding, Very Good, Good, Average, or Poor) of 30 randomly selected patrons at a restaurant on a Saturday evening. a. Find the frequency...
Lets assume that over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen. We wish to deter-mine whether the scores of a random sample of 20 new...
Using the test in question 23, you measure 64 children, obtaining a X of 57.28. Slug says that because this X is so close to the ^ of 56, this sample could hardly be considered gifted. (a) Perform...
A fitness magazine claims that the mean cost of a yoga session is no more than $14. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of 32 yoga...
An educator examined the relationship between the number of hours devoted to reading each week (Y) and the independent variables social class (X1), number of years of school completed (X2), and...
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...
Rutter Nursery Company packages its pine bark mulch in 50-pound bags. From a long history, the production department reports that the distribution of the bag weights follows the normal distribution...
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...
Nested form evaluate f(x) = x3 7.5x2 +11.2x + 2.8 = ((x 7.5)x + 11.2)x + 2.8 at x = 3.94 using 3S arithmetic and rounding, in both of the given forms. The latter, called the nested form, is usually...
Use a centered difference approximation of O(h 2 ) to estimate the second derivative of the function examined in Prob.4.4. Perform the evaluation at x = 2 using step sizes of h = 0.25 and 0.125....
Occasionally, warning flares of the type contained in most automobile emergency kits fail to ignite. A consumer advocacy group wants to investigate a claim against a manufacturer of flares brought by...
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....
Janet is planning to open a small car-wash operation, and she must decide how much space to provide for waiting cars. Janet estimates that customers would arrive randomly (i.e., a Poisson input...
In the Reddy Mikks model (Example 2.2-1), consider the feasible solution Xl = 3 tons and X2 = 1 ton. Determine the value of the associated slacks for raw materials M1 and M2.
In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if he would vote for a law in his state that would increase the gas tax up to 20 cents a gallon,...
A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that (a) All nationalities are...
Patients arrive at a dentists office with an arrival rate of 2.8 patients per hour. The dentist can treat patients at a service rate of 3 patients per hour. A study of patient waiting times shows...
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...