Wangs Concrete Service notes that the number of jobs each month follows the following distribution: 10 with probability 0.15, 11 with probability 0. 20, 12 with probability 0.20, 13 with probability...
In the early 1980s, New England Electric System (NEES) was deciding how much to bid for the salvage rights to a grounded ship, the SS Kuniang. If the bid were successful, the ship could be repaired...
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is where...
When using a control chart, what are some patterns that would indicate that the process is out of control?
According to a survey by Topaz Enterprises, a travel auditing company, the average error by travel agents is $128. Suppose this figure was obtained from a random sample of 41 travel agents and the...
Refer to the Buena School District bus data. Prepare a report on the maintenance cost for last month. Be sure to answer the following questions in your report. a. Around what values do the data tend...
Miraculina protein naturally produced in a rare tropical fruitcan convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In...
An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of .0004. Suppose the sample...
The U.S. Department of Transportation maintains statistics for mishandled bags per 1,000 airline passengers. In the first nine months of 2009, airlines had mishandled 3.89 bags per 1,000 passengers....
Find the quadratic approximation P(x) = A + Bx + Cx2 to the function f(x) = cos x that satisfies conditions (i), (ii), and (iii) with a = 0. Graph P, f, and the linear approximation L(x) = 1 on a...
A coffee manufacturer is interested in whether the mean daily consumption of regular- coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for...
Minnesota had the highest turnout rate of any state for the 2012 presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural...
Suppose the number of different computers used by a student last week has distribution Value Probability 0..............................3 1............................. .4...
Let X1, X2, .. , X7 denote a random sample from a population having mean and variance. Consider the following estimators of μ: (a) Is either estimator unbiased? (b) Which estimator is best? In...
You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool before eating it. Describe how the temperature of the pie changes as time passes. Then sketch a rough...
Which of the following statements are true? a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min. b. For any set of sample values, the standard deviation...
A StatCrunch survey asked people whether they preferred cats or dogs and how many pets they had. (Those who preferred both cats and dogs and those who preferred another type of pet are not included...
A consumer agency randomly selected 1700 flights for two major airlines, A and B. The following table gives the two-way classification of these flights based on airline and arrival time. less than 30...
A researcher wanted to see whether there is a significant difference in resting pulse rates for men and women. The data she collected are displayed in the box-plots and summarized in the next column....
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...
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a...
Suppose that we dont have a formula g(x) for but we know that g(2) = 4 and g(x) = x2 + 5 for all x. (a) Use a linear approximation to estimate g(1.95) and g(2.05). (b) Are your estimates in part (a)...
There is a 50-50 chance that the queen carries the gene of hemophilia. If she is a carrier, then each prince has a 50-50 chance of having hemophilia independently. If the queen is not a carrier, the...
The mean serves as the balance point for any distribution because the sum of all scores, expressed as positive and negative distances from the mean, always equals zero. (a) Show that the mean...
During the past year, on the average 289 books were checked out daily from the public library in Stucco, Wyoming. This year, the city fathers of Stucco have attempted to increase circulation through...
In the chapter, we examined the difference between white and black students in the timing of when they first tried cigarettes. In this SPSS output based upon MTF11SSDS, we examine the grade when...
Suppose you have quarterly data on new housing starts, interest rates, and real per capita income. Specify a model for housing starts that accounts for possible trends and seasonality in the...
A normal population has mean 100 and variance 25. How large must the random sample be if we want the standard error of the sample average to be 1.5?
Find the approximations Ln, Rn, Tn, and Mn, for n = 4, 8, and 16. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places you may wish to use the sum...
(a) Find P( t0.005 < T < t0.01) for v = 20. (b) Find P(T> -t0.025).
The average cost per night of a hotel room in New York City is $273 (Smart Money, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $65. a....
There are two major college entrance exams that a majority of colleges accept for admission, the SAT and ACT. ACT looked at historical records and established 21 as the minimum score on the ACT...
The density of a plastic part used in a cellular telephone is required to be at least 0.70 g/cm3. The parts are supplied in large lots, and a variables sampling plan is to be used to sentence the...
A soft-drink bottler purchases nonreturnable glass bottles from a supplier. The lower specification on bursting strength in the bottles is 225 psi. The bottler wishes to use variables sampling to...
Your new firm is introducing two products, a bicycle trailer and a baby carriage for jogging. Your subjective probabilities of success for these products are 0.85 and 0.70, respectively. If the...
Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution. (a) Using Appendix...
Data Set 11 in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n = 82, f = 35.9 years, and s = 11.1 years. Use a 0.01 significance level to test the claim that...
Gebhardt Electronics produces a wide variety of transformers that it sells directly to manufacturers of electronics equipment. For one component used in several models of its transformers, Gebhardt...
A project was planned using PERT with three time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9. (a) What is the...
The following table lists the probabilities of unemployed females and males and their educational attainment. a. If one unemployed person is selected at random, what is the probability that he or she...
The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the companys...
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983.A sample of 100 houses is selected randomly and evaluated by an appraiser. If...
A producer of computeraided design software for the aerospace industry receives numerous calls for technical support. Tracking software is used to monitor response and resolution times. In addition,...
Assume the length X in minutes of a particular type of telephone conversation is a random variable with probability density function(a) Determine the mean length JE(X) of this type of telephone...
A data set on monthly expenditures (rounded to the nearest dollar) incurred on fast food by a sample of 500 households has a minimum value of $3 and a maximum value of $147. Suppose we want to group...
In each of the following experiments, identify the independent variable, the conditions of the independent variable, and the dependent variable: (a) Studying whether scores on a final exam are...
A man initially standing at the point O walks along a pier pulling a rowboat by a rope of length L. The man keeps the rope straight and taut. The path followed by the boat is a curve called a...
The following data represent the running times of films produced by 2 motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the average...
Companies that do business over the Internet can often obtain probability information about Web site visitors from previous Web sites visited. For instance, the Q.M. in Action, Internet Marketing,...
Which of the following are NLP problems, and why? (a) Maximize profit = 3X1 + 5X2 + 99X3 Subject to X1 10 X2 5 X3 18 (b) Maximize cost = 25X1 + 30X2 + 8X1 X2 Subject to X1 8 X1 + X2 12 0.0005X1 ...
Forbes magazine (www.Forbes.com) ranks NFL teams by value each year. The data below are the value of the Indianapolis Colts from 1998 to 2008. a. Construct a time series plot. What type of pattern...
In a particular year 40% of home sales were partially financed by the seller. A random sample of 250 sales is examined. a. The probability is 0.8 that the sample proportion is more than what amount?...
This is your lucky day. You have just won a $20,000 prize. You are setting aside $8,000 for taxes and partying expenses, but you have decided to invest the other $12,000. Upon hearing this news, two...
Use the data in GPA2.RAW for this exercise. (i) Using all 4,137 observations, estimate the equation colgpa = (0 + (0 hsperc + (2 sat + u and report the results in standard form. (ii) Reestimate the...
Foster Drugs, Inc., handles a variety of health and beauty aid products. A particular hair conditioner product costs Foster Drugs $2.95 per unit. The annual holding cost rate is 20%. An...
A machine used for lling plastic bottles with a soft drink has a known standard deviation of = 0.05 liter. The target mean ll volume is = 2.0 liters. (a) Describe the sampling distribution of x,...
Reconsider the loan application data in Table 7E.2. Set up the fraction nonconforming control chart for this process. Use the average sample size control limit approach. Plot the preliminary data in...
A normal population has known mean = 50 and variance 2 = 5. What is the approximate probability that the sample variance is greater than or equal to 7.44? less than or equal to 2.56? (a) For a random...
Use Newtons method to find the coordinates of the inflection point of the curve y = e cos x, 0, < x < correct to six decimal places.
The director of college admissions at a local university is trying to determine whether a students high school GPA or SAT score is a better predictor of the students subsequent college GPA. She...
Octane is a measure of how much the fuel can be compressed before it spontaneously ignites. Some people believe that higher-octane fuels result in better gas mileage for their cars. To test this...
Consumer Reports tested 11 brands of vanilla yogurt and found these numbers of calories per serving: 130 160 150 120 120 110 170 160 110 130 90 a) Check the assumptions and conditions for inference....
A research hypothesis is that the variance of stopping distances of automobiles on wet pavement is substantially greater than the variance of stopping distances of automobiles on dry pavement. In the...
Use the data set WAGE2.RAW for this exercise. (i) Use the variable KWW (the "knowledge of the world of work" test score) as a proxy for ability in place of IQ in Example 9.3. What is the estimated...
The article "Physical Properties of Cumin Seed" (J. of Agric. Engr. Res., 1996: 93-98) considered a quadratic regression of y 5 bulk density on x 5 moisture content. Data from a graph in the article...
We arrived at Formula 6.3.2, V = ∫b 2πx f(x) dx, by using cylindrical shells, but now we can use integration by parts to prove it using the slicing method of Section 6.2, at least for the case...
High blood pressure results from constriction of the arteries. To maintain a normal flow rate (flux), the heart has to pump harder, thus increasing the blood pressure. Use Poiseuilles Law to show...
Drawing bolts from a lot of 20, containing one defective D, until D is drawn, one at a time and assuming sampling without replacement, that is, bolts drawn are not returned to the lot.
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The companys repair facility is a...
The accompanying table shows a portion of the average price for a gallon of gas for the 50 states during April 2012. The entire data set, labeled Gas_Prices_2012, can be found on the text website....
In a study of police gunfire reports during a recent year, it was found that among 540 shots fired by New York City police, 182 hit their targets; and among 283 shots fired by Los Angeles police, 77...
From a survey of 250 coworkers you find that 155 would like the company to provide on-site day care. a) What is the value of the sample proportion p? b) What is the standard error of the sample...
In exercise 5, the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2)....
A study is to be conducted of the percentage of homeowners who own at least two television sets. How large a sample is required if we wish to be 99% confident that the error in estimating this...
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 circuits is tested, revealing 13 defectives. Find a 95% two-sided CI on...
The manager of a local fast-food restaurant is interested in improving the service provided to customers who use the restaurants drive-up window. As a first step in this process, the manager asks his...
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting...
Mercury pollution is widely recognized as a serious ecological problem. Much of the mercury released into the environment originates as a byproduct of coal burning and other industrial processes. It...
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...
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...
You are considering buying insurance for your new laptop computer, which you have recently bought for $1,500. The insurance premium for three years is $80. Over the three-year period there is an 8%...
The Snow Pea Restaurant is a Chinese carryout/delivery restaurant. Most of Snow Peas deliveries are within a 10-mile radius, but it occasionally delivers to customers more than 10 miles away. Snow...
Many cardiac patients wear implanted pacemakers to control their heartbeat. A plastic connector module mounts on the top of the pacemaker. Assuming a standard deviation of 0.0015 and an approximate...
The Nielsen ratings (percentage of U.S. households that tuned in) for the Masters golf tournament from 1997 through 2008 follow (Golf Magazine, January 2009): Year Rating 1997 ............ 11.2 1998...
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....
A Retirement Condence Survey of 1153 workers and retirees in the United States 25 years of age and older conducted by Employee Benet Research Institute in January 2010 found that 496 had less than...
Find the area of the region enclosed by the asteroid x = a cos3, y = a sin3. (Asteroids are explored in the Laboratory Project on page 659.)
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...
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...
A study by the Massachusetts Community & Banking Council found that blacks, and, to a lesser extent, Latinos, remain largely unable to borrow money at the same interest rate as whites (Boston Globe,...
The level of dissolved oxygen in the surface water of a lake is vital to maintaining the lake's ecosystem. Environmentalists from the University of Wisconsin monitored the dissolved oxygen levels...
Imagine that the investor in Exercise 37 invests $10,000 for one month in a company whose stock either goes up by 80% after a month with probability 1>2 or drops 60% with probability 1 > 2. After one...
A recent PwC Supply Global Chain survey indicated that companies that acknowledge the supply chain as a strategic asset achieve 70% higher performance (pwc. to/ VaFpGz). The Leaders in the survey...
Home values tend to increase over time under normal conditions, but the recession of 2008 and 2009 has reportedly caused the sales price of existing homes to fall nationwide (BusinessWeek, March 9,...
a. Find the probability of getting exactly 7 girls in 8 births. b. Find the probability of getting 7 or more girls in 8 births. c. Which probability is relevant for determining whether 7 is a...
Consider Ho: = 72 versus H1: > 72. A random sample of 16 observations taken from this population produced a sample mean of 75.2. The population is normally distributed with = 6. a. Calculate the...
For the population in Example 2.2, consider the following sampling scheme: a. Find the probability of selection Ïi for each unit i. b. What is the sampling distribution of...
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...
Ten samples were taken from a plating bath used in an electronics manufacturing process, and the bath pH was determined. The sample pH values are 7.91, 7.85, 6.82, 8.01, 7.46, 6.95, 7.05, 7.35, 7.25,...
Soft tissue follows an exponential deformation behavior in uniaxial tension while it is in the physiologic a normal range of elongation. This can be expressed as Where = stress, = strain, and E o...