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...
The accompanying table shows a portion of quarterly data on Nikes revenue for the fiscal years 2001 through 2010. Data for Nikes fiscal year refer to the time period from June 1 through May 31. The...
A hundred or so boats go fishing every year for three or four weeks off of the Bering Strait for Alaskan king crabs. To catch these king crabs, large pots are baited and left on the sea bottom often...
United Medicine, Inc., claims that a drug, Viro, significantly relieves the symptoms of a certain viral infection for 80 percent of all patients. Suppose that this drug is given to eight randomly...
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,...
An automobile mileage study tested the following hypotheses. Hypothesis Conclusion H0: > 25 mpg .....Manufacturers claim supported Ha: < 25 mpg .....Manufacturers claim rejected; average mileage...
Pierre, a book broker, is about to sign a contract to buy the rights to a book about twin teenage computer-security sleuths titled Nan and Dan vs. the Monika Worm. His offer to advance $50,000 for...
The manufacturer in Problem 2-24 now has a standing order of 24 model A motors for each production period. Resolve Problem 2-24 to include this additional constraint. In problem 2-24 A small motor...
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...
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...
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 time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a. Sketch this exponential probability distribution. b....
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...
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...
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...
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...
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...
Because inflation reduces the purchasing power of the dollar, investors seek investments that will provide higher returns when inflation is higher. It is frequently stated that common stocks provide...
A Gallup poll conducted July 21August 14, 1978, asked 1006 Americans, During the past year, about how many books, either hardcover or paperback, did you read either all or part of the way through?...
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...
Refer to the Aquatic Biology (Vol. 9, 2010) study of green sea turtles inhabiting the Grand Cayman South Sound lagoon, Exercise. Researchers discovered that the curved carapace (shell) length of...
Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. In fact, his times between pitches are normally distributed with a mean of 36 seconds...
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...
(a) Estimate the area under the graph of f(x) = 25 - x2 from x = 0 to x = 5 using five approximating rectangles and right endpoints. Sketch the graph and the rectangles. Is your estimate an...
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...
In the city of Milford, applications for zoning changes go through a two-step process: a review by the planning commission and a final decision by the city council. At step 1 the planning commission...
The living spaces of all homes in a city have a mean of 2300 square feet and a standard deviation of 500 square feet. Let x be the mean living space for a random sample of 25 homes selected from this...
The advertising director a large retail store in Columbus, Ohio, is considering three advertising media possibilities: (1) ads in the Sunday Columbus Dispatch newspaper, (2) ads in a local trade...
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...
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?
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...
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,...
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...
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?
Under what condition is it possible for an LP problem to have more than one optimal solution?
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...
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 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...
The acceptance scheme for purchasing lots containing a large number of batteries is to test no more than 75 randomly selected batteries and to reject a lot if a single battery fails. Suppose the...
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...
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...
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...
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...
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...
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...
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 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...
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 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...
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...
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...
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...
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...
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...
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...
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...
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...
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 data set contains the following seven values. 6 2 4 9 1 3 5 a. Find the range. b. Find the mean absolute deviation. c. Find the population variance. d. Find the population standard deviation. e....
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 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...
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 +...
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 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...
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...
Consider the following set of constraints: X1 + 2x2 + 2x3 + 4x4 40 2x1 - x2 + x3 + 2x4 8 4x1 + 2x2 + x3 - x4 10 X1, x2, x3, x4 0 Solve the problem for each of the following objective functions....
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 /...
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...
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...
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....
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...
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...
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...
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 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...
Two television stations compete with each other for viewing audience. Local programming options for the 5:00 p.m. weekday time slot include a sitcom rerun, an early news program, or a home...
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...
Jackson Hole Manufacturing is a small manufacturer of plastic products used in the automotive and computer industries. One of its major contracts is with a large computer company and involves the...
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...
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...
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 =...
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...
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...
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...
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...
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 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 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%...
Consider the staffing situation faced by the Gaubert Marketing Company in Problem 6-15. Ignore the salary and part-time information given in part (b) of that problem. Develop a schedule that meets...
Troys Tires sells a certain brand tire which has a daily demand that is normally distributed, with a mean of 15 tires and a standard deviation of 4 tires. (In your model use integers for all...
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...
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...
Consider the following frequency table of observations on the random variable X: Values 0 1 2 3 4 Frequency 4 21 10 13 2 (a) Based on these 50 observations, is a binomial distribution with n = 6 and...