Five years after graduating from college, Lucia Li feels that she is finally ready to invest some of her earnings. She has eliminated her credit card debt and has established an emergency fund. Her...

Ten major college football bowl games were played in January 2010, with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The...

The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are...

a. Find the number of classes that should be used to construct a frequency distribution and histogram for the bottle design ratings. b. If we round up to the nearest whole rating point, show that we...

Another display technique that is somewhat similar to a histogram is a dotplot. In a dotplot, the data values are displayed along the horizontal axis. A dot is then plotted over each data value in...

Suppose X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: (a) P(X = 1) (b) P(X =6) (c) P(X =4) (d) Determine the mean and variance of X.

The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10,000 and 20,000, respectively. (a) Calculate the parameters...

Let X represent a binomial random variable with n = 150 and p = 0.36. Find the following probabilities. a. P(X 50) b. P(X = 40) c. P(X > 60) d. P(X 55)

Linda Barnes has learned from prior studies that one out of five applicants gets admitted to top MBA programs in the country. She wishes to construct her own 90% confidence interval for the...

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...

Gina Fox has started her own company, Foxy Shirts, which manufactures imprinted shirts for special occasions. Since she has just begun this operation, she rents the equipment from a local printing...

How would the forecast for week 25 of the previous problem change if the initial forecast was 40 instead of 50? How would the forecast for week 25 change if the forecast for week 1 were assumed to be...

Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies...

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...

The new director of a local YMCA has been told by his predecessors that the average member has belonged for 8.7 years. Examining a random sample of 15 membership files, he finds the mean length of...

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...

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...

Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why?

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...

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...

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...

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...

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...

Content Marketing Institute provides insights on the content marketing habits of nonprofit professionals representing a broad range of nonprofit agencies and organizations. A survey of non-profit...

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...

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...

Use the given yearly payment schedule. a. What is the loan amount? b. What is the length of the loan? c. What is the monthly payment? d. What is the total interest paid? e. Construct a scatterplot...

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...

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...

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,...

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 ...

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...

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...

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)

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...

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...

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...

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...

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...

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...

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...

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?

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...

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...

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 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...

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...

A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit transmitted, there is a 10% chance of a transmission error (a 0 becoming a 1 or a 1...

Consider the data from Exercise 11-1 on x = compressive strength and y = intrinsic permeability of concrete. (a) Test for significance of regression using a = 0.05. Find the P-value for this test....

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...

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...

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,...

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...

A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policys key factor is a subjective judgment of contribution to...

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...

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,...

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....

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...

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...

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....

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...

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...

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,...

What is the break-even point? What parameters are necessary to find it?

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...

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...

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...

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...

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...

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...

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...

Bowden Transport provides dispatching services for independent truckers who specialize in transporting cars purchased online from the seller to the buyer. At present, there are four cars needing to...

Refer to the Reid's Raisins case. From the corresponding exercise in Chapter 3, review the design of a spreadsheet that will allow the firm to determine how many grapes to buy under contract and how...

(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...

We are studying mutual bond funds for the purpose of investing in several funds. For this particular study, we want to focus on the assets of a fund and its five-year performance. The question is:...

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...

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...

Three persons (denoted A, B, and C) claiming to have unusual psychic ability underwent ESP tests at an eastern U.S. psychic research institute. On each of five randomly selected days, each person was...

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...

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 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...

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...

Dilberts Department Store is trying to determine how many Hanson T-shirts to order. Currently the shirts are sold for $21, but at later dates the shirts will be offered at a 10% discount, then a 20%...

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)...

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...

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...

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...

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 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,...