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...
Consider a multinomial experiment involving n = 150 trials and k = 4 cells. The observed frequencies resulting from the experiment are shown in the accompanying table, and the null hypothesis to be...
Consider the population of batteries made by a particular manufacturer. The following density curve represents the probability distribution for the variable x = lifetime (in hours): Shade the region...
Particles are subject to collisions that cause them to split into two parts with each part a fraction of the parent. Suppose that this fraction is uniformly distributed between 0 and 1. Following a...
The specific growth rate of a yeast that produces an antibiotic is a function of the food concentration c, g = 2c/4 + 0.8c + c 2 0.2c 3 As depicted in Figure, growth goes to zero at very low...
Under what condition is it possible for an LP problem to have more than one optimal solution?
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...
Consider a portfolio that contains stocks from the following firms: AB Volvo, Pentair, Inc., Reliant Energy, Inc., TCF Financial, 3M Company, and Restoration Hardware. Data for these stocks for a...
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...
John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate,...
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...
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...
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...
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?
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...
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...
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...
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...
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...
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...
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...
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...
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...
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,...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 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?
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...
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...
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...
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...
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...
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....
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...
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...
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)]
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...
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...
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...
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...
Specifications on a cigar lighter detent are 0.3220 and 0.3200 in. Samples of size 5 are taken every 45 minutes with the results shown in Table 6E.18 (measured as deviations from 0.3210 in 0.0001...
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%...
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)...
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 =...
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...
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...
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 /...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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...
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 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...
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...
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...
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 +...
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...
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...
A company will be producing the same new product at two different factories, and then the product must be shipped to two warehouses. Factory 1 can send an unlimited amount by rail to warehouse 1...
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...
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...
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,...
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?
A horse-racing fan is contemplating the many different outcomes in an eight-horse race. a. How many different combinations are possible if only the first three places (first, second, and third) 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...
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...
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...
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...
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,...
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....
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...
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...