Researchers at the University of Houston decided to test the hypothesis that restaurant servers who squat to the level of their customers would receive a larger tip (Effect of Server Posture on...
Specifications on a cigar lighter detent are 0.3220 and 0.3200 in. Samples of size 5 are taken every 45 minutes with the results shown in Table 6E.18 (measured as deviations from 0.3210 in 0.0001...
An experiment was conducted regarding a quantitative analysis of factors found in high-density lipoprotein (HDL) in a sample of human blood serum. Three variables thought to be predictive of, or...
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.
Shown here are the top 19 companies in the world in terms of oil refining capacity. Some of the companies are privately owned and others are state owned. Suppose six companies are randomly selected....
My wife has organized a monthly neighborhood party. Five people are involved in the group: Yolanda (my wife), Lorrie, Laura, Kim, and Anne Marie. They decide to randomly select the rst and second...
The trade volume of a stock is the number of shares traded on a given day. The following data,in millions (so that 2.45 represents 2,450,000 shares traded), represent the volume of Harley-Davidson...
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at...
Recent graduate and world traveler Alastair Bor is planning a European trip. He is influenced by his curiosity about urban culture in the EU and by his study of international relations while he was...
The Coca- Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca- Cola...
For the 59 observations in the Georgia Student Survey data file on the text CD, the result of regressing college GPA on high school GPA and study time follows. College GPA, high school GPA, and study...
The Food and Drug Administration (FDA) reported the number of new drugs approved over an eight-year period (The Wall Street Journal, January 12, 2004). Figure 1.9 provides a bar chart summarizing the...
Rework Exercise 6.8 using the s chart. In Exercise 6.8 TABLE 6E.3 Voltage Data for Exercise 6.8 Sample 9 1015 2 0 46 11 8 10 5 6 13 7 13 6 12 10 10 5 910 7 6 0 8 7 5 10 4 8 12 1015 16 10 13 12 14 16...
"Service with a smile" is a slogan that many businesses adhere to. However, there are some jobs (e.g., those of judges, law enforcement officers, pollsters) that require neutrality when dealing with...
Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 15. f(x) = In |x - 2| a = 2 if x1 16. f(x) = - a = 1 if x= 1 Se* * if x>0 if x <0 17. f(x) a =0 if x...
It is of interest to study the effect of population size in various cities in the United States on ozone concentrations. The data consist of the 1999 population in millions and the amount of ozone...
The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and...
A study of a sample of 1057 houses in upstate New York reports the following percentages of houses falling into different Price and Size categories. a) Are these column, row, or total percentages?...
Garrison Keillor, host of the radio program A Prairie Home Companion, concludes each story about his mythical hometown with Thats the news from Lake Wobegon, where all the women are strong, all the...
An extensive correlation study indicates that a longer life is experienced by people who follow the seven golden rules of behavior, including moderate drinking, no smoking, regular meals, some...
Find the positive real root of (x) = x 4 8x 3 35x 2 + 450x 1001 using the false-position method. Use initial guesses of x t = 4.5 and x a = 6 and performs five iterations. Compute both the true...
Refer to the sensitivity information for the Kelson Sporting Equipment problem in Figure 8.14 (see Problem 5). a. Determine the objective coefficient ranges. b. Interpret the ranges in part (a). c....
Based on Data Set 1 in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 280 and a standard deviation of 65. (All units are 1000 cells//xL.) Using Chebyshevs...
Consider the following table showing speed limits and death rates from automobile accidents in selected countries. a. Construct a scatterplot of the data. b. Briefly characterize the correlation in...
What is the age distribution of adult shoplifters (21 years of age or older) in supermarkets? The following is based on information taken from the National Retail Federation. A random sample of 895...
A European growth mutual fund specializes in stocks from the British Isles, Continental Europe, and Scandinavia. The fund has over 100 stocks. Let x be a random variable that represents the monthly...
Three professors examined awareness of four widely disseminated retirement rules among employees at the University of Utah. These rules provide simple answers to questions about retirement planning...
An analyst developed two scenarios with respect to the recovery of $100,000 principal from defaulted loans: The amount of the expected recovery is closest to: A. $36,400 B. $63,600 C. $81,600...
Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer.
The figure shows the Sun located at the origin and Earth at the point (1, 0). (The unit here is the distance between the centers of Earth and the Sun, called an astronomical unit: 1 AU ≈ 1.496...
When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call...
Vons, a large supermarket in Grover Beach, California, is considering extending its store hours from 7:00 am to midnight, seven days a week, to 6:00 am to midnight. Discuss the sampling bias in the...
The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542. Suppose annual salaries in the metropolitan Boston area are normally...
There have been several studies conducted in an attempt to identify ways in which left-handed people are different from those who are right handed. Assume that you want to estimate the mean IQ of all...
The Great Air Commuter Service Company started in 1984 to pro-vide efficient and inexpensive commuter travel between Boston and New York City. People in the airline industry know Peter Wilson, the...
An agent in a train station sells tickets and provides information to travelers. An average of two travelers approach the agent for assistance each minute. Their arrival is distributed according to a...
During bad economic times, industrial workers are dismissed and are often replaced by machines. The history of 100 workers whose loss of employment is attributable to technological advances is...
Refer again to the gasoline sales time series data in Table. a. Use a weight of 1/2 for the most recent observation, 1/3 for the second most recent, and 1/6 for the third most recent to compute a...
In an effort to check the quality of their cell phones, a manufacturing manager decides to take a random sample of 10 cell phones from yesterdays production run, which produced cell phones with...
The Piedmont Investment Corporation has identified four small apartment buildings in which it would like to invest. The four banks generally used by Piedmont have provided quotes on the interest...
According to Nielsens Television Audience Report, in 2009 the average American home had 2.86 television sets (more than the average number of people per household, at 2.5 people). If the standard...
Consider the following model: Minimize Z = 40x1 + 50x2, Subject to and x1 0, x2 0. (a) Use the graphical method to solve this model. (b) How does the optimal solution change if the objective...
In some military courts, 9 judges are appointed. However, both the prosecution and the defense attorneys are entitled to a peremptory challenge of any judge, in which case that judge is removed from...
Use the data in Table 10E.2 to set up appropriate short-run x and R charts, assuming that the standard deviations of the measured characteristic for each part type are not the same. The nominal...
10-30 Ashcroft Airlines flies a six-passenger commuter fight once a day to Gainesville, Florida. A nonrefundable one-way fare with a reservation costs $129. The daily demand for this flight is given...
Mike owns 2,400 shares of JDS Uniphase Corp. The company instituted a 1-for-8 reverse stock split on October 17. The pre-split market price per share was $2.13. a. How many shares did Mike hold after...
Preventing fatigue crack propagation in aircraft structures is an important element of aircraft safety. An engineering study to investigate fatigue crack in n = 9 cyclically loaded wing boxes...
Use the rules of matrix multiplication to prove that the Eqs. (10.7) and (10.8) follow from Eq. (10.6).
Unfortunately, arsenic occurs naturally in some groundwater. A mean arsenic level of = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton...
Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y = cos x at x = /4 using a value of h =...
Use the data in Problem 4-22 and develop a regression model to predict selling price based on the square footage and number of bedrooms. Use this to predict the selling price of a 2,000-square-foot...
A sample of the salaries of assistant professors on the business faculty at a local university revealed a mean income of $72,000 with a standard deviation of $3,000. a. Using Chebyshevs theorem, what...
The accompanying table lists the 2010 median household incomes, rounded to the nearest dollar, for all 50 states and the District of Columbia. a. Construct a frequency distribution table. Use the...
The director of a federal bureau is trying to anticipate his budget for next year so that he can begin to plan and allocate resources. He has obtained data for this year and last year on the amount...
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. a. With x = weld diameter and y =...
Lori Franz, maintenance supervisor for the Baltimore Transit Authority, would like to determine whether there is a positive relationship between the annual maintenance cost of a bus and its age. If a...
Based on data from the GSS10SDSS, we examine the relationship between highest educational degree and agreement to the statement, "Financial dependence on others is one of my greatest fears about old...
A manufacturer of corrugated metal roofing wants to produce panels that are 28 in. wide and 2 in. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the...
A dog sees a rabbit running in a straight line across an open field and gives chase. In a rectangular coordinate system (as shown in the figure), assume: (i) The rabbit is at the origin and the dog...
What is MAD, and why is it important in the selection and use of forecasting models?
Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in Milan,...
Data released by the National Center for Health Statistics showed that the mean age at which women had their first child was 25.0 in 2006 (The Wall Street Journal, February 4, 2009). The reporter,...
Following a touchdown, a college football coach has the option to elect to attempt a two-point conversion; that is, two additional points are scored if the attempt is successful and none, if it is...
A tire manufacturer tested the braking performance of one of its tire models on a test track. The company tried the tires on 10 different cars, recording the stopping distance for each car on both...
Let P (t) be the performance level of someone learning a skill as a function of the training time t. The graph of P is called a learning curve. In Exercise 13 in Section 9.1 we proposed the...
According to an Experiential Education Survey published at JobWeb.com, the average hourly wage of a college student working as a co-op is $15.64 an hour and the average hourly wage of an intern is...
Refer to exercise 21, where data on production volume and cost were used to develop an estimated regression equation relating production volume and cost for a particular manufacturing operation. Use ...
A regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package (Y), the package weight (X1), and the distance shipped...
The following partial MINITAB regression output for the Fresh detergent data relates to predicting demand for future sales periods in which the price difference will be .10 (see New Obs 1) and .25...
The following data show the curb weight, horsepower, and -mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is also available. The complete data set is as...
The coach of an age group swim team needs to assign swimmers to a 200-yard medley relay team to send to the Junior Olympics. Since most of his best swimmers are very fast in more than one stroke, it...
In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 24 mpg and a standard deviation of 1.0 mpg. Suppose that...
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail. An insurance company is studying wheat hail-damage claims in Weld County, Colorado. A random sample of 16 claims in...
An encryption-decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.5% of the messages processed, transmission errors occur in 1% of the messages,...
The following algorithm is designed to determine a grade for a course that consists of quizzes, homework, and a final exam: Step 1: Input course number and name. Step 2: Input weighting factors for...
A particular brand of candy-coated chocolate comes in five different colors that we shall denote as A1 = {brown}, A2 = {yellow}, A3 = {orange}, A4 = {green}, and A5 = {coffee}. Let pi equal the...
An article in Rubber Chemistry and Technology (Vol. 47, 1974, pp. 825836) describes an experiment that studies the relationship of the Mooney viscosity of rubber to several variables, including...
The average number of acres burned by forest and range fires in a large Wyoming county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned...
In a study on the fertility of married women conducted by Martin O'Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random and...
Consider the following linear program: Min 2A + 2B s.t. 1A + 3B 12 3A + 1B 13 1A - 1B = 3 A, B 0 a. Show the feasible region. b. What are the extreme points of the feasible region? c. Find the...
In the market share analysis of Section 17.1, suppose that we are considering the Markov process associated with the shopping trips of one customer, but we do not know where the customer shopped...
Michael has just completed his first semester in college. He earned an A in his 5-hour calculus course, a B in his 4-hour chemistry course, an A in his 3-hour speech course, and a C in his 3-hour...
You hear that a line graph of data from the Grumpy Emotionality Test slants downward as a function of increases in the amount of sunlight present on the day participants were tested. (a) What does...
CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. (a) Use Excel to find the quartiles. What do they tell you? (b) Find the midhinge....
In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) of the texture of dashboard plastic trim in a mockup of a new fuel cell car. The...
A drug company is interested in investigating whether the color of their packaging has any impact on sales. To test this, they used five different colors (blue, green, orange, red, and yellow) for...
Offhaus Manufacturing produces office supplies but outsources the delivery of its products to third-party carriers. Offhaus ships to 20 cities from its Dayton, Ohio, manufacturing facility and has...
IBM Inc. is going to award a contract for fine-line pens to be used nationally in its offices. Two suppliers, Bic and Pilot, have submitted bids. To determine the preference of office employees,...
Listed below are the numbers of home runs in major league baseball for each year beginning with 1990 (listed in order by row). Is there a trend? Dotplots. In Exercises 11 and 12, construct the...
Betsy and Rich Crosmour are married with two children. Rich is a chef and Betsy is a designer. This information was reported on their W-2 forms. Betsy and Rich received $1,287.43 in interest on bank...
A phase trajectory is shown for populations of rabbits (R) and foxes (F). (a) Describe how each population changes as time goes by. (b) Use your description to make a rough sketch of the graphs of R...
In 2012, the New York Yankees won 95 games and spent $198 million on salaries for their players (USA Today). Is there a relationship between salary and team performance in Major League Baseball? For...
A driving exam consists of 30 multiple-choice questions. Each of the answers is either right or wrong. Suppose that the probability of making fewer than 7 mistakes is 0.23 and the probability of...
Consider the situation described in Exercise 7.70. (c) = 0.533c (a) Find two-sigma control limits and compare these with the control limits found in art (a) of exercise 7.70. b) Find the a-risk for...
Transistors have a life that is exponentially distributed with parameter . A random sample of n transistors is taken. What is the joint probability density function of the sample?
The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly...
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x) = 0.50e-.50x for x 0 a. What is the mean time between telephone calls?...
Use the single-channel drive-up bank teller operation referred to in Problems 13 to determine the probabilities of 0, 1, 2, and 3 customers in the system. What is the probability that more than three...
While the housing market is in recession and is not likely to emerge anytime soon, real estate investment in college towns continues to promise good returns (The Wall Street Journal, September 24,...
To analyze the risk, or volatility, associated with investing in Chevron Corporation common stock, a sample of the monthly total percentage return for 12 months was taken. The returns for the 12...