In exercise 18 the data on price ($) and the overall score for six stereo headphones tested by Consumer Reports were as follows (Consumer Reports website, March 5, 2012). Brand _______________ Price...
How often does work intrude during off hours? A survey of 1,000 office workers indicated that 53% of males and 41% of females had office intrusions while on vacation. (Data extracted from "Office...
Deleting an observation a common strategy for handling a case in which an observation is missing data for one or more variables is to fill those missing variables with 0s and add a variable to the...
Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why?
It is asserted that 80% of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of six cars: a. All six will...
An analyst has available two forecasts, F1 and F2, of earnings per share of a corporation next year. He intends to form a compromise forecast as a weighted average of the two individual forecasts. In...
Do business seniors at your school prepare for class more than, less than, or about the same as business seniors at other schools? The National Survey of Student Engagement (NSSE) found that business...
An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown,...
A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in...
An airline is preparing to replace its old planes with three new styles of jets. The airline needs 17 new planes to service its current routes. The decision regarding which planes to purchase should...
The following system of equations is designed to determine concentration (the cs in g/m 3 ) in a series of coupled reactors as a function of the amount of mass input to each reactor (the right-hand...
A purchasing agent placed a rush order for a particular raw material with two different suppliers, A and B. If neither order arrives in four days the production process must be shut down until at...
Residents of Hawaii have the longest life expectancies, averaging 81.48 years (www.worldlifeexpectancy.com, data retrieved June 4, 2012). A sociologist collects data on the age at death for 50...
Refer to Example 3.2. From the histogram for investment A, estimate the following probabilities. a. P(X > 45) b. P(10 < X < 40) c. P(X < 25) d. P(35 < X < 65)
The routes of postal deliverers are carefully planned so that each deliverer works between 7 and 7.5 hours per shift. The planned routes assume an average walking speed of 2 miles per hour and no...
Suppose you currently have a portfolio of three stocks, A, B, and C. You own 500 shares of A, 300 of B, and 1000 of C. The current share prices are $42.76, $81.33, and $58.22, respectively. You plan...
When the 127 workers aged 1825 in the 2008 GSS were asked how many hours they worked in the previous week, the mean was 37.47 with a standard deviation of 13.63. Does this suggest that the population...
During the 2003 Super Bowl, Miller Lite Beer's commercial referred to as "The Miller Lite Girls" ranked among the top three most effective advertisements aired during the Super Bowl (USA Today,...
Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective...
Determine the temperatures along a 1-m horizontal rod described by the heat conduction equation (Eq. 30.1). Assume that the right boundary is insulated and that the left boundary (x = 0) is...
Refer to the Baseball 2012 data that report information on the 30 Major League Baseball teams for the 2012 season. Create a frequency distribution for the the team payroll variable and answer the...
The Global Business Travel Association reported the domestic airfare for business travel for the current year and the previous year (INC. Magazine, February 2012). Below is a sample of 12 flights...
The RAD Construction Company has been awarded a contract with the state of Delaware to replace a bridge on Pike Creek Road. Based on experience with previous projects, RAD feels the project...
You misplaced two of the scores in a sample, but you have the data indicated be-low. What should you guess the missing scores to be? Why? 7 12 13 14 14 13 13 12 11
Marsha operates an expresso stand. Customers arrive according to a Poisson process at a mean rate of 30 per hour. The time needed by Marsha to serve a customer has an exponential distribution with a...
Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4 Subject to x1 + 4x2 - 2x3 + 8x4 2 - x1 + 2x2 + 3x3 + 4x4 ...
Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her...
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the...
How do the graphical and simplex methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
While the housing market is in the tank 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,...
Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri...
An entertainment company is in the planning stages of producing a new computer-animated movie for national release, so they need to determine the production time (labor-hours necessary) to produce...
a. Explain why the IQ score is a continuous variable. b. What are the mean and the standard deviation for the distribution of: IQ scores? SAT scores? standard scores? c. Express, algebraically or as...
A manufacturing firm has two suppliers for an electrical component used in its process: one in Mexico and one in China. The supplier in Mexico ships 82% of all the electrical components used by the...
Indicate whether each of the following statements describes a stationary or a non-stationary series. a. A series that has a trend b. A series whose mean and variance remain constant over time c. A...
The upward velocity of a rocket can he computed by the following formula: where = upward velocity, u = velocity at which fuel is expelled relative to the rocket, m 0 = initial mass of the rocket at...
Each coffee table produced by Meising Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Meisings firm is small, and its resources are limited. During any given production...
A random sample of 50 medical school applicants at a university has a mean raw score of 31 on the multiple choice portions of the Medical College Admission Test (MCAT). A student says that the mean...
Heating and cooling of a building can be modeled by the ODE T' = k1(T Ta) + k2(T Tw) + P, where T = T (t) is the temperature in the building at time t, Ta the outside temperature, Tw the...
As described in Prob. 24.17, the cross-sectional area of a channel can be computed as Where B = the total channel width (m), H the depth (m), and y = distance from the bank (m). In a similar fashion,...
What is the break-even point? What parameters are necessary to find it?
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001...
A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be .86. At the .05 significance level, can we conclude that there is positive...
The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious investment professionals. It is an attractive alternative to getting an MBA for students wanting a career...
The accompanying table shows a portion of data consisting of the selling price, the age, and the mileage for 20 used sedans. The entire data set, labeled Car_Prices, can be found on the text website....
Smokers IQ A study was conducted in which 20,211 18-year-old Israeli male military recruits were given an exam to measure IQ. In addition, the recruits were asked to disclose their smoking status. An...
In one study, physicians were asked to estimate the probability of a malignant cancer given that a test showed a positive result. They were told that the cancer had a prevalence rate of 1%, the test...
IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with (a) The upper 2 percent, that is, 2 percent to the right (and...
Refer to Exercise 6.11. What is the probability that the amount of new snow will be between 2 and 4 inches? Copy the graph from Exercise 6.11, shade the appropriate area, and report the numerical...
Measuring the height of a California redwood tree is very difficult because these trees grow to heights over 300 feet. People familiar with these trees understand that the height of a California...
Sandy Edge is president of Edge File Works, a firm that manufactures two types of metal file cabinets. The demand for the two-drawer model is 650 cabinets per week; demand for the three- drawer...
The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires...
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 86 and a sample standard deviation of 3. Fifteen batches were...
Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be taken into account. Suppose small aircraft arrive at a certain airport,...
The RMC Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 25 ton of material 1 and 35 ton of material 3. A...
The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12. a. What is the probability of observing exactly 12...
A television network earns an average of $1.6 million each season from a hit program and loses an average of $400,000 each season on a program that turns out to be a flop. Of all programs picked up...
It has been reported that the average life for halogen lightbulbs is 4000 hours. Learning of this figure, a plant manager would like to find out whether the vibration and temperature conditions that...
Consider the bottle design study situation in Exercise 11.4. and let A, B and C represent mean daily sales using bottle designs A. B, and C. respectively. Figure 11.5 gives the Excel output of a...
Jaco owns a plant in which three products are manufactured. The labor and raw material requirements for the three products are given in the following table. The profits per unit for the three...
A sudden increase in the demand for smoke detectors has left Acme Alarms with insufficient capacity to meet demand. The company has seen monthly demand from its retailers for its electronic and...
(a) Let a1 = a, a2 = f(a), a3 = f(a2) = f(f(a)), . . . an+1 = f(an), where f is a continuous function. If, limn an = L show that f(L) = L. (b) Illustrate part (a) by taking f(x) = cos x, a = 1, and...
The work produced by a constant temperature, pressure-volume thermodynamic process can be computed as W = pdV Where W is work, p is pressure, and V is volume. Using a combination of the trapezoidal...
A local TV station claims that 60% of people support Candidate A, 30% support Candidate B, and 10% support Candidate C. A survey of 500 registered voters is taken. The accompanying table indicates...
In 2010, Apple introduced the iPad, a tablet-style computer that its former CEO Steve Jobs called a" a truly magical and revolutionary product" (CNN, January 28, 2010). Suppose you are put in charge...
A small appliance manufacturer must meet (on time) the following demands: quarter 1, 3000 units; quarter 2, 2000 units; quarter 3, 4000 units. Each quarter, up to 2700 units can be produced with...
The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of...
In London, half of the days have some rain. The weather forecaster is correct 2/3 of the time, i.e., the probability that it rains, given that she has predicted rain, and the probability that it does...
The annual sales of romance novels follow the normal distribution. However, the mean and the standard deviation are unknown. Forty percent of the time sales are more than 470,000, and 10% of the time...
A Boeing 767-300 aircraft has 213 seats. When someone buys a ticket for a flight, there is a 0.0995 probability that the person will not show up for the flight (based on data from an IBM research...
The data listed in the following table gives hourly measurements of heat flux q (cal/cm2/h) at the surface of a solar collector. As an architectural engineer, you must estimate the total heat...
With a smoothing constant of = 0.2, equation (6.2) shows that the forecast for the 13th week of the gasoline sales data from Table is given by F13 = 0.2Y12 + 0.8F12. However, the forecast for week...
The following data represent 15 quarters of manufacturing capacity utilization (in percentages): a. Compute three- and four-quarter moving averages for this time series. Which moving average provides...
In a Gallup poll, 1011 adults were asked if they consume alcoholic beverages, and 64% of them said that they did. Construct a 90% confidence interval estimate of the proportion of all adults who...
When working for the Brooklyn district attorney, investigator Robert Burton analyzed the leading digits of the amounts from 784 checks issued by seven suspect companies. The frequencies were found to...
A feed supply company has developed a special feed supplement to see if it will promote weight gain in livestock. Their researchers report that the 77 cows studied gained an average of 56 pounds and...
Data on salaries in the public school system are published annually in National Survey of Salaries and Wages in Public Schools by the Education Research Service. The mean annual salary of (public)...
According to a November 8, 2010 report on www.teleread.com, 7% of U.S. adults with online services currently read e-books. Assume that this percentage is true for the current population of U.S....
Refer to Exercise 8.24. A city planner wants to estimate, with a 97% confidence level, the average monthly residential water usage in the city. Based on earlier data, the population standard...
Specifications on a normally distributed dimension are 600 ± 20. x and R charts are maintained on this dimension and have been in control over a long period of time. The parameters of these...
Phil sold his shares of Verizon Communications Inc, as indicated on the above ticker. a. How many shares did he sell? b. How much did each share sell for? c. What was the total value of all the...
Compute the expected number of cars arriving in Problem 14-15 using the expected value formula. Compare this with the results obtained in the simulation. Problem 14-15 The number of cars arriving per...
Consider the linear program in Problem. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. a. Use the graphical solution procedure...
Daves Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42. (a)...
Commercial fish raising is a growing industry in the United States. What makes fish raised commercially grow faster and larger? Suppose that a fish industry study is conducted over the three summer...
In a Gallup poll conducted August 31September 2, 2009, 513 national adults aged 18 years of age or older who consider themselves to be Republican were asked, Of every tax dollar that goes to the...
The manufacturing company in Problem 2.20 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators,...
Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession, such as manufacturing and...
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has...
Mc Burger fast-food restaurant sells quarter-pounders and cheeseburgers. A quarter pounder uses a quarter of a pound of meat, and a cheeseburger uses only .2 lb. The restaurant starts the day with...
Data Set 17 "Course Evaluations" in Appendix B includes data from student evaluations of courses. The summary statistics are n = 93, x = 3.91, s = 0.53. Use a 0.05 significance level to test the...
Refer again to the data from the MBA new-matriculants survey in exercise. a. Given that a person applied to more than one school, what is the probability that the person is 2426 years old? b. Given...
Example 2 referred to an Ohio elevator with a maximum capacity of 2500 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that...
Ashworth Industries would like to make a price and production decision on two of its products. Define QA and QB as the quantities of products A and B to produce and PA and PB as the price for...
A bank branch located in a commercial district of a city had the business objective of improving the process for serving customers during the noon-to-1:00 P.M. lunch period. The waiting time (defined...
Table 6-12 on the textbook's Web site gives non seasonally adjusted quarterly data on the retail sales of hobby, toy, and game stores (in millions) for the period 1992:1 to 2008: II. Consider the...
The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During each of the past 15 years, a polling organization has surveyed Americans about...
The diameter of holes for cable harness is known to have a normal distribution with = 0.01 inch. A random sample of size 10 yields an average diameter of 1.5045 inch. Find a 99% two-sided confidence...
A college infirmary conducted an experiment to determine the degree of relief provided by three cough remedies. Each cough remedy was tried on 50 students and the following data recorded. Test the...
Gulf Coast Electronics is ready to award contracts for printing their annual report. For the past several years, the four-color annual report has been printed by Johnson Printing and Lakeside Litho....