The average full-sized front-loading Energy Star clothes washer uses 15 gallons of water per load (greenbuildingadvisor.com, December 4, 2015). Assume that the population standard deviation for 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...
An experiment was conducted to compare the filling capability of packaging equipment at two different wineries. Ten bottles of pinot noir from Ridgecrest Vineyards were randomly selected and...
The owner of Brittens Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 20 chickens shows they produced an average of 20 eggs per month with a standard deviation of...
Below are sorted data showing average spending per customer (in dollars) at 74 Noodles & Company restaurants. (a) Construct a frequency distribution. Explain how you chose the number of bins and the...
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofit organizations, the mean one-time gift do-nation in the past...
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were...
"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...
The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the investment alternatives they make available to clients is the All...
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...
The number of text messages sent by 25 13-year-olds over the past month was as follows: a. Construct a frequency distribution using classes of 500 up to 600, 600 up to 700, etc. b. Construct the...
A male student of the author has a measured pulse rate of 52 beats per minute. Based on Data Set 1 in Appendix B, males have a mean pulse rate of 67.3 beats per minute and a standard deviation of...
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...
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...
Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject...
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.
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,...
Cramers Bar and Grille in Dallas can seat 130 people at a time. The manager has been gathering data on the number of minutes a party of four spends in the restaurant from the moment they are seated...
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...
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...
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...
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...
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...
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...
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...
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.
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...
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...
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...
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...
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...
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...
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...
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 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...
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...
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...
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...
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,...
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....
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...
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...
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...
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...
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...
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...
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...
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...
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 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 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...
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...
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...
Early in 2010, Consumer Reports published the results of an extensive investigation of broiler chickens purchased from food stores in 23 states. Tests for bacteria in the meat showed that 62% of the...
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...
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).
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...
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,...
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...
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...
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...
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...
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...
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...
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 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...
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 ...
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...
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...
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...
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 =...
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...
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...
Stream cross-sectional areas ( A ) are required for a number of tasks in water resources engineering, including flood forecasting and reservoir designing. Unless electronic sounding devices are...
What is MAD, and why is it important in the selection and use of forecasting models?
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...
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...
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...
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,...
Shown here is a frequency distribution for the rise in tides at 30 selected locations in the United States. Rise in tides (inches) Frequency 12.527.5 ..........6 27.542.5 ..........3 42.557.5...
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 two processes shown in Table 8E.1 (the sample size n = 5). Specifications are at 100 ± 10. Calculate Cp, Cpk, and Cpm and interpret these ratios. Which process would you prefer to...
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...
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...
Foofy obtained a significant Fobt from an experiment with five levels. She therefore concludes that changing each condition of the independent variable results in a significant change in the...
Bentley's Office Solutions offers its sales representatives a choice between being paid a commission of 8% of sales and being paid a monthly salary of $1500 plus a commission of 1% of sales. For what...
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,...
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....
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...
Two television stations compete with each other for viewing audience. Local programming options for the 5:00 p.m. weekday time slot include a sitcom rerun, an early news program, or a home...