Is there a generation gap in the type of music that people listen to? The following table represents the type of favorite music for a sample of 1,000 respondents classified according to their age...

A research specialist for a large seafood company investigated bacterial growth on oysters and mussels subjected to three different storage temperatures. Nine cold storage units were available. Three...

Determine the covariance and correlation for X1 and X2 in the joint distribution of the multinomial random variables X1, X2 and X3 in with p1 = p2 = p3 = 1/3 and n = 3. What can you conclude about...

Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect, to tensile strength of the product. A random sample of 4 seals from...

Describe how expected activity times and variances can be computed in a PERT network.

The customer service department for a wholesale electronics outlet claims that 90 percent of all customer complaints are resolved to the satisfaction of the customer. In order to test this claim, a...

Teens were asked in the MTF 2012 survey to report their level of happiness (how are things these days?). The bivariate table includes responses organized by teen's race. Based on an alpha of .05,...

As part of a study of the physiology of wheat maturation, an agronomist selected six wheat plants at random from a field plot. For each plant, she measured the moisture content in two batches of...

The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. Assume that the activity times are independent. (a) Calculate the expected...

A national survey conducted by Pew Research asked a random sample of 974 American adults how they felt about doing their taxes. The responses are: 1 = Love it, 2 = Like it, 3 = Neither like nor...

The American Community Survey showed that residents of New York City have the longest travel times to get to work compared to residents of other cities in the United States (U.S. Census Bureau...

This frequency distribution represents the commission earned (in dollars) by 100 salespeople employed at several branches of a large chain store. Class limits Frequency 150158 .......5 159167...

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...

Show that if A is 2 ( 2, then Theorem 8 gives the same formula for A-1 as that given by Theorem 4 in Section 2.2?

The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute. Suppose the number of website visitors per minute follows a Poisson probability distribution....

In a RingCentral survey, 380 different smartphone users are randomly selected without replacement. Respondents were asked to identify the only thing that they cant live without. Responses consist of...

A study found a slightly lower percentage of lay teachers in religious secondary schools than in elementary schools. A random sample of 200 elementary school and 200 secondary school teachers from...

Consider the assignment problem having the following cost table. (a) Draw the network representation of this assignment problem. (b) Formulate this problem as a transportation problem by constructing...

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each...

Suppose that X1,X2, . . . is a lognormal geometric random walk with parameters (, 2). More specifically, suppose that Xk = X0exp(r1 + +rk), where X0 is a fixed constant and r1, r2, . . . are...

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements...

Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for eachconstraint: Maximize profit = 4X + 4Y subject to

According to a study several years ago by the Personal Communications Industry Association, the average wireless phone user earns $62,600 per year. Suppose a researcher believes that the average...

Henry Chow is a stockbroker working for Merrill Lynch. He knows from past experience that there is a 70% chance that his new client will want to include U.S. equity in her portfolio and a 50% chance...

A baseball analytics specialist wants to determine which variables are important in predicting a teams wins in a given season. He has collected data related to wins, earned run average (ERA), and...

Ten weeks of data on the Commodity Futures Index are: 7.35 7.40 7.55 7.56 7.60 7.52 7. 52 7.70 7.62 7.55 a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and...

Meryl's Apparel is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Meryl's top management is planning to expand by locating new...

Suppose the amount of liquid dispensed by a certain machine is uniformly distributed with lower limit A = 8 oz and upper limit B = 10 oz. Describe how you would carry out simulation experiments to...

Referring to Exercise 9.43, find a 99% confidence interval for ? 1 ? ? 2 if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers,...

A consulting firm submitted a bid for a large research project. The firms management initially felt there was a 50/50 chance of getting the bid. However, the agency to which the bid was submitted...

What is Monte Carlo simulation? What principles underlie its use, and what steps are followed in applying it?

A researcher interviews 50 employees of a large manufacturer and collects data on each workers hourly wage (Wage), years of higher education (EDUC), experience (EXPER), and age (AGE). The entire data...

Some studies have shown that there is a correlation between consumption of salt and blood pressure. As more salt is consumed, blood pressure tends to rise. A reporter reads one of these studies and...

Reboot, Inc. is a manufacturer of hiking boots. Demand for boots is highly seasonal. In particular, the demand in the next year is expected to be 3,000, 4,000, 8,000, and 7,000 pairs of boots in...

A sociologist assigned to a correctional institution was interested in studying the relationship between intelligence and delinquency. A delinquency index (ranging from 0 to 50) was formulated to...

Use zero- through third-order Taylor series expansions to predict (3) for f (x) = 25x 3 6x 2 + 7x 88 Using a base point at x = 1. Compute the true percent relative error t for each approximation.

In the Heidmans Department Store problem of Section 17.2, suppose that the following transition matrix is appropriate: If Heidmans has $4000 in the 030-day category and $5000 in the 3190-day...

Hockey pucks used by the National Hockey League (NHL) and other professional leagues weigh an average of 163 grams (5.75 ounces). A quality inspector monitors the manufacturing process for hockey...

In an analysis investigating the usefulness of pennies, the cents portions of 100 randomly selected credit card charges from the author are recorded, and they have a mean of 47.6 cents and a standard...

Bayess rule was applied to the problem of HIV testing in The American Statistician (Aug. 2008). In North America, the probability of a person having HIV is .008. A test for HIV yields either a...

A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. a. Estimate the...

Nine measurements are taken on the strength of a certain metal. In order, they are 7.2, 8.9, 9.7, 10.5, 10.9, 11.7, 12.9, 13.9, 15.3, and these values correspond to the 10th, 20th, . . . , 90th...

Suppose that X has a discrete uniform distribution A random sample of n = 36 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.5,...

The fast-food franchiser in Exercise 11.43 was unable to provide enough evidence that the site is acceptable. She is concerned that she may be missing an opportunity to locate the restaurant in a...

A real estate agent has collected a random sample of 75 houses that were recently sold in a suburban community. She is particularly interested in comparing the appraised value and recent selling...

A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.50 per gallon; if she does not have to wait, the price is $4.00 per gallon. Customers...

Rosenberg Land Development (RLD) is a developer of condominium properties in the Southwest United States. RLD has recently acquired a 40.625 acre site outside of Phoenix, Arizona. Zoning restrictions...

(a) Apply Newtons method to the equation 1/x a = 0 to derive the following reciprocal algorithm: xn+1 = 2xn ax2n (This algorithm enables a computer to find reciprocals without actually dividing.)...

A delivery truck travels from point A to point B and back using the same route each clay there are four traffic lights on the route. Let Xi denote the number of red lights the truck encounters going...

Suppose a filling machine is used to fill cartons with a liquid product. The specification that is strictly enforced for the filling machine is 9 1.5 oz. If any carton is produced with weight...

City Cab, Inc., uses two dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to City Cab use a common telephone number. When both dispatchers are...

In 2009, the New York Yankees won 103 baseball games during the regular season. The table on the next page lists the number of victories (W), the earnedrun average (ERA), and the batting average...

A random sample of size n=100 is taken from a population of size N=3,000 with a population proportion of p=0.34. a. Is it necessary to apply the finite population correction factor? Explain....

One study reports that 30% of newly hired MBAs are confronted with unethical business practices during their first year of employment. One business school dean wondered if her MBA graduates had...

Control charts for with n = 4 are maintained on a quality characteristic. The parameters of these charts are as follows and x s Both charts exhibit control. Specifications on the quality...

The soccer team's shirts have arrived in a big box, and people just start grabbing them, looking for the right size. The box contains 4 medium, 10 large, and 6 extra-large shirts. You want a medium...

PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating (PC Magazine website, April, 2015). The following data show the rating for contrast ratio,...

The curves with equations xn + yn = 1, n = 4, 6, 8, . . . , are called fat circles. Graph the curves with n = 2, 4, 6, 8, and 10 to see why. Set up an integral for the length L2k of the fat circle...

In the December, 1969, American Economic Review (pp. 886896), Nathaniel Leaf reports the following least squares regression results for a cross section study of the effect of age composition on...

FRED® (Federal Reserve Economic Data), a database of more than 3000 U.S. economic time series, contains historical data on foreign exchange rates. The following data show the foreign exchange...

Will improving customer service result in higher stock prices for the companies providing the better service? When a companys satisfaction score has improved over the prior years results and is above...

A media rental store rented the following number of movie titles in each of these categories: 170 horror, 230 drama, 120 mystery, 310 romance, and 150 comedy. If a person selects a movie to rent,...

In a population, = 100 and x = 25. A sample (N = 150) has X = 102. Using two tails of the sampling distribution and the .05 criterion: (a) What is the critical value? (b) Is this sample in the...

A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider...

Based on a study by Dr. P. Sorita Soni at Indiana University, we know that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. a. A...

A simple random sample of 300 items is selected from a large shipment, and testing reveals that 4% of the sampled items are defective. The supplier claims that no more than 2% of the items in the...

The filling variance for boxes of cereal is designed to be .02 or less. A sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces. Use = .05 to determine whether the variance 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...

Arthur Andersen Enterprise Group/National Small Business United, Washington, conducted a national survey of small-business owners to determine the challenges for growth for their businesses. The top...

The time-series plot in the next column shows the number of new homes built in the Midwest from 2000 to 2009. (a) Describe how this graph is misleading. (b) What is the graph trying to convey? (c) In...

The mean and the standard deviation of the sample of 40 trash bag breaking strengths in Table 1.9 are 50.575 and 1.6438, respectively. a. Use the Excel output in Figure to calculate a t-based 95...

Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer's disease is the most common type of dementia. In...

Use order of h8 Romberg integration to evaluate Compare and t . re' dx

A company is about to develop and then market a new product. It wants to build a simulation model for the entire process, and one key uncertain input is the development cost. For each of the...

A manufacturer of cat food is planning to survey households in the United States to determine purchasing habits of cat owners. Among the variables to be collected are the following: i. The primary...

The use of both alcohol and tobacco by high school seniors has declined in the last 30 years. Alcohol use is down from 68.2 to 43.1%, and the use of cigarettes by high school seniors has decreased...

A large paper manufacturing company, the Quality Paper Corporation, has 10 paper mills from which it needs to supply 1,000 customers. It uses three alternative types of machines and four types of raw...

A study of the number of business lunches that executives in the insurance and banking industries claim as deductible expenses per month was based on random samples and yielded the following results:...

The article "On Assessing the Accuracy of Offshore Wind Turbine Reliability Based Design Loads from the Environmental Contour Method" (Intl. J. of Offshore and Polar Engr., 2005: 132-140) proposes...

An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators. If any electricity is generated by a given generator, that generator must be started up and a...

In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space S for the number of possible orders at the conclusion of the contest...

An electronics company produces transistors, resistors, and computer chips. Each transistor requires four units of copper, one unit of zinc, and two units of glass. Each resistor requires three,...

Study the following Excel regression output for an analysis attempting to predict the number of union members in the United States by the size of the labor force for selected years over a 30-year...

Use the single-server drive-up bank teller operation referred to in Problems 1 and 2 to determine the following operating characteristics for the system: a. The probability that no customers are in...

As in Exercise 13, from a survey of coworkers you find that 48% of 200 have already received this years flu vaccine. An approximate 95% confidence interval is (0.409, 0.551). a) How would the...

A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported fast...

Suppose that a supplier ships components in lots of size 5,000. A single-sampling plan with n = 50 and c = 2 is being used for receiving inspection. Rejected lots are screened, and all defective...

The managing director of a consulting group has the following to bill to clients: Total Billable $340,000 3,000 $400,000 4,000 $435,000 5,000 $477,000 6,000 $529,000 7,000 $587,000 8,000...

The U.S. Census bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household...

Let X denote the number of flaws observed on a large coil of galvanized steel. Seventy-five coils are inspected and the following data were observed for the values of X: Values 1 2 3 4 5 6 7 8...

A decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: P(E1) = .10, P(E2) = .15, P(E3) = .40, and P(E4) = .20. Are these probability assignments...

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. Use α = .05 to test for any significant differences. Source of...

The data file agstrat.dat also contains information on other variables. For each of the following quantities, plot the data, and estimate the population mean for that variable along with its standard...

The impurity level (in ppm) is routinely measured in an intermediate chemical product. The following data were observed in a recent test: 2.4, 2.5, 1.7, 1.6, 1.9, 2.6, 1.3, 1.9, 2.0, 2.5, 2.6, 2.3,...

The integer programming problem in the box below has been developed to help First National Bank decide where, out of 10 possible sites, to locate four new branch offices: where Xi represents Winter...

Time- depth recorders were deployed on 6 of the 76 captured turtles. The time-depth recorders allowed the environmentalists to track the movement of the sea turtles in the lagoon. These 6 turtles had...

Simple regression was employed to establish the effects of childhood exposure to lead. The effective sample size was about 122 subjects. The independent variable was the level of dentin lead (parts...

The Gilbreth family drinks a case of Royal Cola every day, 365 days a year. Fortunately, a local distributor offers quantity discounts for large orders as shown in the table below, where the price...

In a study of facial behavior, people in a control group are timed for eye contact in a 5-minute period. Their times are normally distributed with a mean of 184.0 seconds and a standard deviation of...

The book The Wall Street Journal. Guide to Information Graphics by Dona M. Wong gives strategies for using graphs and charts to display information effectively. One popular graph discussed is the...