When a new machine is functioning properly, only 3% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number...
A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of...
A study reports that recent college graduates from New Hampshire face the highest average debt of $31,048 (The Boston Globe, May 27, 2012). A researcher from Connecticut wants to determine how recent...
Roberto finishes a triathlon (750-meter swim, 5-kilometer run, and 20-kilometer bicycle) in 63.2 minutes. Among all men in the race, the mean finishing time was 69.4 minutes with a standard deviation...
The pie chart shows a monthly utility budget. a. Suppose that $800 was budgeted for the month. Determine the exact amount for each category. b. Suppose that $117 was budgeted for water. What would be...
An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.95 and 0.98. Assume that the components are...
A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because of work commitments. a. What is the point estimate of the proportion of...
Data collected by child development scientists produced this confidence interval for the average age (in weeks) at which babies begin to crawl: a) Explain carefully what the software output means. b)...
Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect occurs, measured from a reference line, then X can be modeled as a uniform random...
In Review Question, instead of testing a hypothesis, you might prefer to construct a confidence interval for the mean weight of all 2-pound boxes of candy during a recent production shift. (a) Given...
Based on records of automobile accidents in a recent year, the Department of Highway Safety and Motor Vehicles in Florida reported the counts who survived (S) and died (D), according to whether they...
Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the...
An oil company produces three brands of oils: Regular, Multi grade, and Supreme. Each brand of oil is composed of one or more of four crude stocks, each having a different viscosity index. The...
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. Compare with the length of the curve. 51. x= sin't, y = cos?t, 0
(a) Fibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. If we start with one newborn...
The Russell 1000 is a stock market index consisting of the largest U.S. companies. The Dow Jones Industrial Average is based on 30 large companies. The file Russell gives the annual percentage...
Assume that we want to identify a simple random sample of 12 of the 372 doctors practicing in a particular city. The doctors names are available from a local medical organization. Use the eighth...
In August of the current year, a car dealer is trying to determine how many cars of the next model year to order. Each car ordered in August costs $20,000. The demand for the dealers next year models...
For each situation below identify the population and the sample and explain what p and p represent and what the value of p is. Would you trust a confidence interval for the true proportion based on...
A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. They count the number of drivers who have been stopped with more...
The U.S. Department of Energys Fuel Economy Guide provides fuel efficiency data for cars and trucks (Fuel Economy website, February 22, 2008). A portion of the data for 311 compact, midsize, and...
Refer to the clustering problem involving the file FBS described in Problem 1. The NCAA has a preference for conferences consisting of similar schools with respect to their endowment, enrollment, and...
A footwear company developed a new type of shoe designed to help delay the onset of arthritis in the knee. Eighty people with early signs of arthritis volunteered for a study. One half of the...
Marvel Studio's motion picture Guardians of the Galaxy opened over the first two days of the 2014 Labor Day weekend to a record-breaking $94.3 million in ticket sales revenue in North America (the...
The following data define the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: Estimate o(27) using (a) Linear interpolation, (b) Newton's interpolating...
Recall that in exercise 40 the personnel director for Electronics Associates developed the following estimated regression equation relating an employees score on a job satisfaction test to length of...
National Insurance Associates carries an investment portfolio of stocks, bonds, and other investment alternatives. Currently $200,000 of funds are available and must be considered for new investment...
Silver Springs Moving and Storage Inc. is studying the relationship between the number of rooms in a move and the number of labor hours required for the move. As part of the analysis, the CFO of...
On page 243, we presented a frequency distribution for data on chest circumference, in inches, for 5732 Scottish militiamen. As mentioned there, Adolphe Quetelet used a procedure for fitting a normal...
A furniture cabinet maker produces two types of cabinets that house and hide plasma televisions. The Mission-style cabinet requires $340 in materials and 15 labor hours to produce, and it yields a...
The Wall Street Journal reported that bachelor's degree recipients with majors in business received average starting salaries of $53,900 in 2012 (the Wall Street Journal, March 17, 2014). The results...
(a) Find the slope of the tangent to the asteroid x = a cos3 , y = a sin3 in terms of . (Asteroids are explored in the Laboratory Project on page 659.) (b) At what points is the tangent horizontal or...
A survey showed that a majority of Americans plan on doing their holiday shopping online because they dont want to spend money on gas driving from store to store (SOASTA website, October 24, 2012)....
Because gambling is big business, calculating the odds of a gambler winning or losing in every game is crucial to the financial forecasting for a casino. A standard slot machine has three wheels that...
Indicate whether each statement below is true or false. If false, explain why. a) To get a representative sample, you must sample a large fraction of the population. b) Using modern methods, it is...
A recent survey of 1000 American women between the ages of 45 and 64 asked them what medical condition they most feared. Of those sampled, 61% said breast cancer, 8% said heart disease, and the rest...
The Wall Street Journal's Shareholder Scoreboard tracks the performance of 1000 major U.S. companies (The Wall Street Journal, March 10, 2003). The performance of each company is rated based on the...
The wall thickness of 25 glass 2-liter bottles was measured by a quality-control engineer. The sample mean was x = 4.05 millimeters, and the sample standard deviation was s = 0.08 millimeter. Find a...
According to an online survey by Harris Interactive for job site CareerBuilder.com (InformationWeek.com, September 27, 2007), more than half of IT workers say they have fallen asleep at work....
Howies Bakery is one of the most popular bakeries in town, and the favorite at Howies is French bread. Each day of the week, Howies bakes a number of loaves of French bread, more or less according to...
Here are residual plots (residuals plotted against predicted values) for three linear regression models. Indicate which condition appears to be violated (linearity, outlier, or equal spread) in each...
A survey of 1,085 adults asked, Do you enjoy shopping for clothing for yourself? The results (data extracted from Split Decision on Clothes Shopping, USA Today, January 28, 2011) indicated that 51%...
The Adventure Toys Company manufactures a popular line of action figures and distributes them to toy stores at the wholesale price of $10 per unit. Demand for the action figures is seasonal, with the...
Using the table from Exercise 8, a) What is the probability that a randomly selected Black multigenerational family is a 2 Adult Generation family? b) What is the probability that a randomly selected...
Maureen Laird is the chief financial officer for the Alva Electric Co., a major public utility in the midwest. The company has scheduled the construction of new hydroelectric plants 5, 10, and 20...
Spencer Enterprises is attempting to choose among a series of new investment alternatives. The potential investment alternatives, the net present value of the future stream of returns, the capital...
A paint company has two types of bases from which it blends two types of paints: Tuffcoat and Satin- wear. Each base has a certain proportion of ingredients X, Y, and Z, as shown in the table at the...
Lionels Life Jacket Rentals leases life jackets each day from a supplier and rents them to customers who use them when they raft down the Delaware River. Each day, Lionel leases 30 lifejackets from...
An investigation compiled information about recent nonmilitary plane crashes. The causes, to the extent that they could be determined, are summarized in the table. Causes of Fatal Accidents Cause...
Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 10 seconds. (a) What is...
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from...
According to a book published in 2011, 45% of the undergraduate students in the United States show almost no gain in learning in their first 2 years of college (Richard Arum et al., Academically...
Analyze the autocorrelation coefficients for the series shown in Figures 3-18 through 3-21. Briefly describe each series. Figure 3-18 Figure 3-19 Figure 3-20 Figure 3-21 Autocorrelation Function for...
A political polling organization is to conduct a poll of likely voters prior to an upcoming election. Each voter is to be interviewed in person. It is known that the costs of interviewing different...
In testing a certain kind of truck tire over a rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 15 trucks tested, find the probability...
The solar radiation for Tucson, Arizona, has been tabulated as Assuming each month is 30 days long, fit a sinusoid to this data. Use the resulting equation to predict the radiation inmid-August. |J F...
The average number of miles driven on a full tank of gas in a Hyundai Veracruz before its low- fuel light comes on is 320. Assume this mileage follows the normal distribution with a standard...
Calculate the 20th, 50th, and 80th percentiles for the following dataset: 120 215 187 343 268 196 312
A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, Participants in our program lose more than 5 pounds within a month. Six clients of this...
A random sample of 200 married men all retired was classified according to education and number of children. Test the hypothesis, at the 0.05 level of significance, that the size of a family is...
Refer to the Contois Carpets problem, for which the network representation is shown in Figure. Suppose that Contois has a beginning inventory of 50 yards of carpet and requires an inventory of 100...
The file P08_49.xlsx contains data on 400 orders placed to the ElecMart Company over a period of several months. For each order, the file lists the time of day, the type of credit card used, the...
Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates,...
In college basketball, a turnover is defined as losing possession of the basketball to the opposing team without scoring a basket. In theory, reducing the number of turnovers increases the likelihood...
The tensile strength of a paper product is related to the amount of hardwood in the pulp. Ten samples are produced in the pilot plant, and the data obtained are shown in Table 4E.9. (a) Fit a linear...
Management of a soft-drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a...
George Lyon is about to buy a compact stereo cassette player. He is currently considering three brandsSun, Hitek, and Surgo. The important factors to George are the price, color, warranty, size of...
Among respondents asked which is their favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat (based on data from USA Today). a. What is the...
A quality characteristic of interest for a tea bag filling process is the weight of the tea in the individual bags. If the bags are under filled, two problems arise. First, customers may not be able...
Noodles and Company tested consumer reaction to two spaghetti sauces. Each of 70 raters assessed both sauces on a scale of 1 (worst) to 10 (best) using several taste criteria. To correct for possible...
A set of n = 20 pairs of scores (X and Y values) has SSX = 16, SSY = 100, and SP = 32. If the mean for the X values is MX = 6 and the mean for the Y values is MY = 20, a. Calculate the Pearson...
A stratified sample is being designed to estimate the prevalence p of a rare characteristic, say the proportion of residents in Milwaukee, Wisconsin, who have Lyme disease. Stratum 1, with N1 units,...
Four bugs are placed at the four corners of a square with side length a. The bugs crawl counterclockwise at the same speed and each bug crawls directly toward the next bug at all times. They approach...
Suppose an experiment has five equally likely outcomes: E1, E2, E3, E4, E5. Assign probabilities to each outcome and show that the requirements in equations (4.3) and (4.4) are satisfied. What method...
Matthews Bakery prepares peanut butter cookies for sale every morning. It costs the bakery $0.50 to bake each peanut butter cookie, and each cookie is sold for $1.25. At the end of the day, leftover...
In Example 5.4 on page 186, you and two friends decided to go to Wendys. Now, suppose that instead you go to Burger King, which recently filled approximately 82.3% of orders correctly. What is the...
An experiment was performed to see whether sensory deprivation over an extended period of time has any effect on the alpha-wave patterns produced by the brain. To determine this, 20 subjects, inmates...
An eccentric sheikh left a will to distribute a herd of camels among his three children: Tarek receives at least one-half of the herd, Sharif gets at least one third, and Maisa gets at least...
Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previous classes as well as the...
In April 2009, the Gallup organization surveyed 676 adults aged 18 and older and found that 352 believed they would not have enough money to live comfortably in retirement. Does the sample evidence...
When a tennis player serves, he gets two chances to serve in bounds. If he fails to do so twice, he loses the point. If he attempts to serve an ace, he serves in bounds with probability 3/8. If he...
A furniture maker sells three different styles of cabinets, including an Italian model, a French Country model, and a Caribbean model. Each cabinet produced must go through three departments:...
An engineer at a semiconductor company wants to model the relationship between the device HFE (y) and three parameters: Emitter-RS (x1), Base-RS (x2), and Emitter-to-Base RS (x3). The data are shown...
About 35% of U.S. workers are college graduates. You randomly select 500 U.S. workers and ask them whether they are college graduates. Find the probability that the number who have graduated from...
The sales manager of a large automotive parts distributor, Hartman Auto Supplies, wants to develop a model to forecast as early as May the total annual sales of a region. If regional sales can be...
Magnetic tape is slit into half-inch widths that are wound into cartridges. A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day for sharpness. If any dull...
The lifetimes of televisions produced by the Hishobi Company are normally distributed with a mean of 75 months and a standard deviation of 8 months. If the manufacturer wants to have to replace only...
Speedy Wheels is a wholesale distributor of bicycles. Its Inventory Manager, Ricky Sapolo, is currently reviewing the inventory policy for one popular model that is selling at the rate of 500 per...
In a manufacturing process that laminates several ceramic layers, 1% of the assemblies are defective. Assume that the assemblies are independent. (a) What is the mean number of assemblies that need...
Consider a binomial experiment with n = 10 and p = 0.10. Use the binomial tables (Appendix B) to answer parts (a) through (d). a. Find f (0). b. Find f (2). c. Find P(x 2). d. Find P(x 1). e. Find...
Moving averages often are used to identify movements in stock prices. Daily closing prices (in dollars per share) for SanDisk for August 16, 2002, through September 3, 2002, follow a. Use a five-day...
The price of a share of a particular stock listed on the New York Stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a...
Akiko Hamaguchi is a manager at a small sushi restaurant in Phoenix, Arizona. Akiko is concerned that the weak economic environment has hampered foot traffic in her area, thus causing a dramatic...
Is it possible to predict the annual number of business bankruptcies by the number of firm births (business starts) in the United States? The following data, published by the U.S. Small Business...
It is well-documented that active maternal smoking during pregnancy is associated with lower-birth-weight babies. Researchers Fernando D. Martinez and associates wanted to determine if there is a...
Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of women professionals. Following are data similar to those obtained...
Figure shows three reactors linked by pipes. As indicated, the rate of transfer of chemicals through each pipe is equal to a flows rate (Q, with units of cubic meters per second) multiplied by the...
Fit the following data with (a) A saturation-growth-rate model, (b) A power equation, and (c) A parabola. In each case, Plot the data and theequation. |0.75 2 8.5 1.2 1.95 2 24 2.4 2.7 26
Reconsider the Leisure Airlines problem from Section 12.1. The demand forecasts shown in Table represent Leisure Airs best estimates of demand. But because demand cannot be forecasted perfectly, the...
Grades assigned by an economics instructor have historically followed a symmetrical distribution: 5% As, 25% Bs, 40% Cs, 25% Ds and 5% Fs. This year, a sample of 150 grades was drawn and the grades...