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...
Use the single-channel drive-up bank teller operation referred to in Problems 13 to determine the probabilities of 0, 1, 2, and 3 customers in the system. What is the probability that more than three...
The following cost information is available for the fast-food franchise in Problem 22: Customer waiting time is valued at $25 per hour to reflect the fact that waiting time is costly to the...
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,...
What is the perfect summer trip? A National Geographic Kids survey (AAA Horizons, April 2007) asked this question to 316 children ages 8 to 14. Their responses are given in the following frequency...
In the United States, historically, 40% of registered voters are Republican. Suppose you obtain a simple random sample of 320 registered voters and nd 142 registered Republicans. (a) Consider the...
Birth weights in the United States have a distribution that is approximately normal with a mean of 3369 g and a standard deviation of 567 g (based on data from Comparison of Birth Weight...
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 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...
Hillman Management Services manages apartment complexes in Tulsa, Oklahoma. They currently have 30 units available for rent. The monthly rental prices (in dollars) for this population of 30 units are...
The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deflection temperatures observed are...
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,...
Which NCAA college basketball conferences have the higher probability of having a team play in college basketballs national championship game? Over the last 20 years, the Atlantic Coast Conference...
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...
In the 2011 National Crime Victimization Study, the Federal Bureau of Investigation (FBI) found that 16.2% of Americans age 12 or older had been victims of crime during a 1-year period. This result...
Employ inverse interpolation using a cubic interpolating polynomial and bisection to determine the value of x that corresponds to (x) = 0.23 for the following tabulateddata: 0.5 03333 0.25 0.2 0.1667...
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 Conference Board produces a Consumer Confidence Index (CCI) that reflects peoples feelings about general business conditions, employment opportunities, and their own income prospects. Some...
A citys telephone book lists 100,000 people. If the telephone book is the frame for a study, how large would the sample size be if systematic sampling were done on every 200th person?
One factor in low productivity is the amount of time wasted by workers. Wasted time includes time spent cleaning up mistakes, waiting for more material and equipment, and performing any other...
In a Gallup poll of 557 randomly selected adults, 284 said that they were underpaid. a. Identify the best point estimate of the percentage of all adults who say that they are underpaid. b. Construct...
A population of N = 1400 has a population proportion equal to .47. In each of the following cases, which formula will you use to calculate p and why? Using the appropriate formula, calculate p for...
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 cargo transport plane is to be loaded to maximize the revenue from the load carried. The plane may carry any combination and any amount of cargoes A, B, and C. The relevant values for these cargoes...
A newsstand has ordered five copies of a certain issue of a photography magazine. Let X = the number of individuals who come in to purchase this magazine. If X has a Poisson distribution with...
A couple decides they will continue to have children until they have two males. Assuming that P(male) = 0.5, what is the probability that their second male is their fourth child?
American football is the highest paying sport on a per-game basis. Given that the quarterback is considered the most important player on an NFL team, he is typically well-compensated. Consider a...
The Coca- Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca- Cola...
To determine whether training in a series of workshops on creative thinking increases IQ scores, a total of 70 students are randomly divided into treatment and control groups of 35 each. After two...
An orange grower in Florida faces a dilemma. The weather forecast is for cold weather, and there is a 50% chance that the temperature tonight will be cold enough to freeze and destroy his entire...
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...
Consider the following model: Yi = B0 + B1Xi + B2D2i + B3D3 + ui where Y = annual earnings of MBA graduates X = years of service D2 = 1 if Harvard MBA = 0 if otherwise D3 = l if Wharton MBA = 0 if...
Betsy and Rich Crosmour are married with two children. Rich is a chef and Betsy is a designer. This information was reported on their W-2 forms. Betsy and Rich received $1,287.43 in interest on bank...
A machine tool is idle 15% of the time. You request immediate use of the tool on five different occasions during the year. Assume that your requests represent independent events. (a) What is the...
A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard...
A building contractor is preparing a bid on a new construction project. Two other contractors will be submitting bids for the same project. Based on past bidding practices, bids from the other...
A random sample of 20 independent female college-aged dancers was obtained, and their heights (in inches) were measured. Assume the population distribution is Normal. a. What is the sample mean? Is...
The manufacturing company in Problem 3.60 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,...
Jumbo shrimp are those that require 10 to 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages = 12.5 with a standard deviation of = 1, and forms a normal...
Show that in the bivariate situation, E is a linear or distributive operator. That is, for constants a1 and a2, show that Ela1111 (X, Y) + a2112(X, Y)] = a1E[111 (X, Y)] + a2Elu2(X, Y)]
The mean rate for satellite television for a sample of households was $72.50 per month, with a standard deviation of $12.50 per month. Estimate the percent of satellite television rates between...
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...
Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a population standard...
Recent graduate and world traveler Alastair Bor is planning a European trip. He is influenced by his curiosity about urban culture in the EU and by his study of international relations while he was...
Eight measurements were made on the inside diameter of forged piston rings used in an automobile engine. The data (in millimeters) are 74.001, 74.003, 74.015, 74.000, 74.005, 74.002, 74.005, and...
Consider a game in which each player selects one of three colored poker chips: red, white, or blue. The players must select a chip without knowing the color of the chip selected by the other player....
The accompanying data on number of minutes used for cell phone calls in one month was generated to be consistent with summary statistics published in a report of a marketing study of San Diego...
A survey indicates that it is important to pay attention to truth in political advertising. Based on a survey of 1200 people, 35% indicated that they found political advertisements to be untrue; 60%...
a. A statistics practitioner wants to test the following hypotheses: H0: p = .70 H1: p > .70 A random sample of 100 produced p = .73. Calculate the p-value of the test. b. Repeat part (a) with p =...
An engineer is studying bearing failures for two different materials in aircraft gas turbine engines. The following data are failure times (in millions of cycles) for samples of the two material...
Perfect pitch is the ability to identify musical notes correctly without hearing another note as a reference. The probability that a randomly chosen person has perfect pitch is .0005. (a) If 20...
A sample of 50 Fortune 500 companies (Fortune, April 14, 2003) showed 5 were based in New York, 6 in California, 2 in Minnesota, and 1 in Wisconsin. a. Develop an estimate of the proportion of...
Sagar and Payne [SP] analyze the stress-strain relationships and material properties of a cylinder alternately subjected to heating and cooling and consider the equation 2T / r2 + 1 / r T / r = 1 /...
A state runs a lottery in which 6 numbers are randomly selected from 40, without replacement. A player chooses 6 numbers before the states sample is selected. (a) What is the probability that the 6...
Given f(x) = 2x6 1.5 x4 + 10 x + 2. Use bisection to determine the maximum of this function. Employ initial guesses of xt = 0 and perform iterations until the approximate relative error falls below...
In a multiple regression equation, k = 5 and n = 20, the MSE value is 5.10, and SS total is 519.68. At the .05 significance level, can we conclude that any of the regression coefficients are not...
United Manufacturing and Supply makes sprinkler valves for use in residential sprinkler systems. United supplies these valves to major companies such as Rain Bird and Nelson, who in turn sell...
Use the data in MINWAGE.RAW for this exercise, focusing on the wage and employment series for sector 232 (Men's and Boys' Furnishings). The variable gwagelil is the monthly growth (change in logs) in...
The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the...
The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. (a)...
This case is based on the Q.M. in Action, Pricing for Environmental Compliance in the Auto Industry. In this case we build a model similar to the one built for General Motors. The CAFE requirement on...
Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly...
Stockbroker Susan Drexler has advised her client as shown in the following table. The client agrees to this list but provides several conditions: (1) No more than $3,000,000 can be invested, (2) the...
In 2011, the website NewGeography .com listed its ranking of the best cities for job growth in the United States. Here is the magazine's top 20 larger cites, along with their weighted job rating...
Do Americans prefer name-brand milk or store brand milk? A survey was conducted by Harris Poll Interactive, Inc. in November 2014. Suppose the results, based on 1,138 females and 1,138 males, were as...
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...
The production manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performance ratings of a sample of 15 electrical repairmen employed...
A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for...
The headline in an article in the Sacramento Bee read Firing someone? Risk of heart attack doubles (Haney, 1998). The article explained that between 1989 and 1994, doctors interviewed 791 working...
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...
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...
For the network shown below, use the augmenting path algorithm described in Sec. 10.5 to find the flow pattern giving the maximum flow from the source to the sink, given that the arc capacity from...
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 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...
The Zimmerman Agency conducted a study for Residence Inn by Marriott of business travelers who take trips of five nights or more. According to this study, 37% of these travelers enjoy sightseeing...
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...
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...
In Problem 11 from the previous section, we stated that the damage amount is normally distributed. Suppose instead that the damage amount is triangularly distributed with parameters 500, 1500, and...
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...
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...
A review of emergency room records at rural Millard Fell more Memorial Hospital was performed to determine the probability distribution of the number of patients entering the emergency room during a...
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...
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....
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...
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 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...
Although studies continue to show smoking leads to significant health problems, 20% of adults in the United States smoke. Consider a group of 250 adults. a. What is the expected number of adults who...
Let Y = X1 + X2 + + X15 be the sum of a random sample of size 15 from the distribution whose pdf is f(x) = (3/2)X2, 1 < x < 1. Using the pdf of Y, we find that P(0.3 Y 1.5) = 0.22788. Use the...
Shafer Office Supplies has four distribution centers located in Atlanta, Cincinnati, Chicago, and Salt Lake City, and ships to 12 retail stores located in Portland, San Jose, Las Vegas, Tucson,...
A set of data has values that vary from 11.6 to 97.8. a. If these values are grouped into nine classes, indicate the class boundaries. b. What class interval width did you choose? c. What are the...
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...
A certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height rh, where 0 < r < 1. Suppose that the ball is dropped from an initial height...
Describe how expected activity times and variances can be computed in a PERT network.
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...
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...
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...
Consider a training set that contains 100 positive examples and 400 negative examples. For each of the following candidate rules, R1: A + (covers 4 positive and 1 negative examples), R2: B +...
An article in the Journal of Aircraft (1988) describes the computation of drag coefficients for the NASA 0012 airfoil. Different computational algorithms were used at with the following results (drag...
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...