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...
The time between calls is exponentially distributed with a mean time between calls of 10 minutes. (a) What is the probability that the time until the first call is less than 5 minutes? (b) What is...
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...
Suppose that Westsides management in Problem likes the operational efficiency of ordering once each month and in quantities of 1000 units. How much more expensive would this policy be than your EOQ...
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website, February 11, 2009). Assume the following data...
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...
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...
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...
Use the rules of matrix multiplication to prove that the Eqs. (10.7) and (10.8) follow from Eq. (10.6).
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...
Repeat Problem 10.12 (a), assuming that the population variances in the two branches are not equal. Compare these results with those of Problem 10.12 (a). Problem 10.12 (a) t Test for Differences in...
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...
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...
What is MAD, and why is it important in the selection and use of forecasting models?
Bank 98 operates a main location and three branch locations in a medium-size city. All four locations perform similar services, and customers typically do business at the location nearest them. The...
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...
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 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...
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...
Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper "Bone Mass Is Recovered from Lactation to Postweaning in Adolescent Mothers with...
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...
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...
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....
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,...
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...
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...
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...
The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.5 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta, and other products of...
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...
A hurricane bond pays the holder a face amount, say $1 million, if a hurricane causes major damage in the United States. Suppose that the chance for such a storm is 5% per year. (a) If a financial...
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...
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 =...
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...
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 ...
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 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 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...
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...
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 =...
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...
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...
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...
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...
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...
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....
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...
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...
"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...
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...
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...
The data show the NFL team payrolls (in millions of dollars) for a specific year. Construct a frequency distribution for the payroll using 7 classes. (The data in this exercise will be used in...
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...
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...
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...
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...
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...
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?...
The average number of annual trips per family to amusement parks in the United States is Poisson distributed, with a mean of 0.6 trips per year.What is the probability of randomly selecting an...
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...
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...
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...
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,...
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,...
The accompanying table shows a portion of quarterly data on Nikes revenue for the fiscal years 2001 through 2010. Data for Nikes fiscal year refer to the time period from June 1 through May 31. The...
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...
United Medicine, Inc., claims that a drug, Viro, significantly relieves the symptoms of a certain viral infection for 80 percent of all patients. Suppose that this drug is given to eight randomly...
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...
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...
The Durham Insurance Company sells a five-year term insurance policy with face value of $100,000 to a 47-year-old man for a monthly premium of $63. The mortality table is given below. d. What is the...
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?
A Gallup poll conducted July 21August 14, 1978, asked 1006 Americans, During the past year, about how many books, either hardcover or paperback, did you read either all or part of the way through?...
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...
Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. In fact, his times between pitches are normally distributed with a mean of 36 seconds...
An automobile mileage study tested the following hypotheses. Hypothesis Conclusion H0: > 25 mpg .....Manufacturers claim supported Ha: < 25 mpg .....Manufacturers claim rejected; average mileage...
The following table provides monthly revenue values for Tedstar, Inc., a company that sells valves to large industrial firms. The monthly revenue data have been graphed using a line chart in the...
Pierre, a book broker, is about to sign a contract to buy the rights to a book about twin teenage computer-security sleuths titled Nan and Dan vs. the Monika Worm. His offer to advance $50,000 for...
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...
A hundred or so boats go fishing every year for three or four weeks off of the Bering Strait for Alaskan king crabs. To catch these king crabs, large pots are baited and left on the sea bottom often...
The living spaces of all homes in a city have a mean of 2300 square feet and a standard deviation of 500 square feet. Let x be the mean living space for a random sample of 25 homes selected from this...
Refer to the Aquatic Biology (Vol. 9, 2010) study of green sea turtles inhabiting the Grand Cayman South Sound lagoon, Exercise. Researchers discovered that the curved carapace (shell) length of...
The manufacturer in Problem 2-24 now has a standing order of 24 model A motors for each production period. Resolve Problem 2-24 to include this additional constraint. In problem 2-24 A small motor...
The advertising director a large retail store in Columbus, Ohio, is considering three advertising media possibilities: (1) ads in the Sunday Columbus Dispatch newspaper, (2) ads in a local trade...
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...
Because inflation reduces the purchasing power of the dollar, investors seek investments that will provide higher returns when inflation is higher. It is frequently stated that common stocks provide...
Consider a multinomial experiment involving n = 150 trials and k = 4 cells. The observed frequencies resulting from the experiment are shown in the accompanying table, and the null hypothesis to be...
In the city of Milford, applications for zoning changes go through a two-step process: a review by the planning commission and a final decision by the city council. At step 1 the planning commission...
Consider the population of batteries made by a particular manufacturer. The following density curve represents the probability distribution for the variable x = lifetime (in hours): Shade the region...
Mantel produces a toy carriage, whose final assembly must include four wheels and two seats. The factory producing the parts operates three shifts a day. The following table provides the amounts...
Particles are subject to collisions that cause them to split into two parts with each part a fraction of the parent. Suppose that this fraction is uniformly distributed between 0 and 1. Following a...
(a) Estimate the area under the graph of f(x) = 25 - x2 from x = 0 to x = 5 using five approximating rectangles and right endpoints. Sketch the graph and the rectangles. Is your estimate an...
The specific growth rate of a yeast that produces an antibiotic is a function of the food concentration c, g = 2c/4 + 0.8c + c 2 0.2c 3 As depicted in Figure, growth goes to zero at very low...
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a. Sketch this exponential probability distribution. b....
Under what condition is it possible for an LP problem to have more than one optimal solution?
Consider a portfolio that contains stocks from the following firms: AB Volvo, Pentair, Inc., Reliant Energy, Inc., TCF Financial, 3M Company, and Restoration Hardware. Data for these stocks for a...
John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate,...