Idealized spring-mass systems have numerous applications throughout engineering. Figure shows an arrangement of four springs in series being depressed with a force of 1500 kg. At equilibrium,...
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, non-compostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and...
In the last chapter, we looked at three outliers arising from a plot of Average Wind Speed by Month in the Hopkins Forest. Each was associated with an unusually strong storm, but which was the most...
According to Verto Analytics, Inc., 53% of 30- to-34-year-olds in the United States own tablets. (Data extracted from "The Impact of Income and Age on Device Ownership," bit.ly/1yR21gL.) Using the...
Use Allison Shannon's bank statement and check register to reconcile her account. Allison Shannon 3 Honey Drive Dallas, TX 75372 ACCOUNT NUMBER: 76574709A STATEMENT PERIOD: 12101 12/31 STARTING...
The derivative of (x) = l/ (l 3 x2 ) 2 is given by 6x / (1 3x 2 ) 2 . Do you expect to have difficulties evaluating this function at x = 0.577? Try it using 3-and 4-digit arithmetic with chopping.
Beyond the examples in Figure, there are other models that can be linearized using transformations. For example, y = 4 xe 4x Linearize this model and use it to estimate 4 and 4 based on the...
Use the data in APPLE.RAW to answer this question. (i) Define a binary variable as ecobuy = 1 if ecolbs > 0 and ecobuy = 0 if ecolbs = 0. In other words, ecobuy indicates whether, at the prices...
For each of the following, categorize the nature of the data using one of these three descriptions: (1) Discrete because the number of possible values is finite; (2) Discrete because the number of...
Duke Energy manufactures and distributes electricity to customers in the United States and Latin America. Duke recently purchased Cinergy Corporation, which has generating facilities and energy...
The manufacturing company in Problem 2.44 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 food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of...
Use the data in CHARITY.RAW to answer the following questions: (i) Estimate the equation gift = (0 + (1 mailsyear + (2 giftlast + (3 propresp + u by OLS and report the results in the usual way,...
The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: a. Construct a decision tree for this problem. b. If the decision...
Refer to the gasoline sales time series data in Table. a. Compute four- and five-week moving averages for the time series. b. Compute the MSE for the four- and five-week moving average forecasts. c....
Burger City is a large chain of fast-food restaurants specializing in gourmet hamburgers. A mathematical model is now used to predict the success of new restaurants based on location and demographic...
Offhaus Manufacturing produces office supplies, but outsources the delivery of its products to third party carriers. Offhaus ships to 20 cities from its Dayton, Ohio, manufacturing facility and has...
Use the data in 401KSUBS.RAW for this question, restricting the sample to fsize = 1. (i) To the model estimated in Table 8.1, add the interaction term, e401k ( inc. Estimate the equation by OLS and...
Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately 50 meters per second, when pressure drops sufficiently to allow...
After buying a computer system, Sim Thomas must decide whether to purchase (1) A complete maintenance (or service) policy at a cost of $500, which would cover all maintenance costs; (2) A partial...
Suppose that Ralph gets a strike when bowling 30% of the time. (a) What is the probability that Ralph gets two strikes in a row? (b) What is the probability that Ralph gets a turkey (three strikes in...
A study was done to see whether participants would ignore a sign that said, "Elevator may stick between floors. Use the stairs." The people who used the stairs were said to be compliant, and those...
Complete a 1040A form for Kevin Hooper. Kevin is a butcher. He is single with two children, which he can claim as dependents. He also takes care of his dad, who lives with his family. Use the...
Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear systems, and compare the approximations to the actual solution. a. 0.03x1 + 58.9x2 = 59.2, 5.31x1 6.10x2 =...
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with 2 = 1000(psi)2. A random sample of 12 specimens has a mean compressive strength...
A stockbroker, Richard Smith, has just received a call from his most important client, Ann Hardy. Ann has $50,000 to invest and wants to use it to purchase two stocks. Stock 1 is a solid blue-chip...
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing...
A manufacturer of bolts has a quality- control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts...
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the...
A normal distribution is informally described as a probability distribution that is bell-shaped when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal...
It is known that two defective copies of a commercial software program were erroneously sent to a shipping lot that has now a total of 75 copies of the program. A sample of copies will be selected...
An ergonomics consultant is engaged by a large consumer products company to see what they can do to increase productivity. The consultant recommends an employee athlete program, encouraging every...
An article in the Journal of Environmental Engineering (Vol. 115, No. 3, 1989, pp. 608619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode...
The Technically Techno Company has several patents for a variety of different Flash memory devices that are used in computers, cell phones, and a variety of other things. A competitor has recently...
The following data give the number of shoplifters apprehended during each of the past 8 weeks at a large department store. a. Find the mean for these data. Calculate the deviations of the data values...
Northeast General, a large hospital in Providence, Rhode Island, has initiated a new procedure to ensure that patients receive their meals while the food is still as hot as possible. The hospital...
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a...
The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between eruptions is normally distributed with...
In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Waal Street Journal, August 18, 2011) led to the estimated regression equation y =...
A chemical company manufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $400 and yields 300 units of A,...
You are working as an assistant to the dean of institutional research at your university. The dean wants to survey members of the alumni association who obtained their baccalaureate degrees 5 years...
Two different types of polishing solution are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery....
Fiero Products, LTD, of Bologna, Italy, makes a variety of footwear, including indoor slippers, childrens shoes, and flip-flops. To keep up with increasing demand, it is considering three expansion...
Physicians and pharmacists sometimes fail to inform patients adequately about the proper application of prescription drugs and about the precautions to take in order to avoid potential side effects....
Par, Inc., is a small manufacturer of golf equipment and supplies. Pars distributor believes a market exists for both a medium-priced golf bag, referred to as a standard model, and a high-priced golf...
The quarterly sales data (number of copies sold) for a college textbook over the past three years follow: a. Construct a time series plot. What type of pattern exists in the data? b. Use an Excel or...
Mysti Farris (see Problem 1-20) is considering raising the selling price of each cue to $50 instead of $ 40. If this is done while the costs remain the same, what would the new break-even point be?...
A pharmaceutical company manufactures two drugs at Los Angeles and Indianapolis. The cost of manufacturing a pound of each drug depends on the location, as indicated in the file S13_42.xlsx. The...
One-pound coffee cans are filled by a machine, sealed, and then weighed by a local coffee store. After adjusting for the weight of the can, any package that weighs less than 16 oz is cut out of the...
Develop a multiple-regression model for auto sales as a function of population and household income from the following data for 10 metropolitan areas: a. Estimate values for bt). b, and h: for the...
Why can you never really have 100% confidence of correctly estimating the population characteristic of interest?
Flaws occur in the interior of plastic used for automobiles according to a Poisson distribution with a mean of 0.02 flaw per panel. (a) If 50 panels are inspected, what is the probability that there...
Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patients body,...
Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the poles and then to the top of the second pole as in the figure. Show...
The advertising agency promoting the new Breem dishwashing detergent wants to get the best exposure possible for the product within the $100,000 advertising budget ceiling placed upon it. To do so,...
Use the tabular and graphical methods of descriptive statistics to help management develop a customer profile and to evaluate the promotional campaign. At a minimum, your report should include the...
An agent for a residential real estate company in a suburb located outside of Washington, DC, has the business objective of developing more accurate estimates of the monthly rental cost for...
College-Pro Painting does home interior and exterior painting. The company uses inexperienced painters that do not always do a high-quality job. It believes that its painting process can be described...
Consider the following LP: Maximize z = 16x1 + 15x2 Subject to 40x1 + 31x2 124 - x1 + x2 1 X1 3 X1, x2 0 (a) Solve the problem by the simplex method, where the entering variable is the non basic...
Refer to the Baseball 2012 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2012. Next, divide this value by 162 (a season...
Trader Joe's is a privately held chain of specialty grocery stores in the United States. Starting out as a small chain of convenience stores, it has expanded to over 340 stores as of June 2010...
Suppose that a quality characteristic has a normal distribution with specification limits at USL = 100 and LSL = 90. A random sample of 30 parts results in x = 97 and s = 1.6. (a) Calculate a point...
Bill has just completed his exams for the academic year and wants to celebrate by seeing every movie showing in theaters in his town and in six other neighboring cities. If he travels to another...
Consider the Emarpy Appliance situation in Problem 6-56. If Richard Feehan wants to minimize the total annual inventory cost, how many refrigerators should be produced in each production run? How...
The frequency distribution of order lead time at Ecommerce.com from Exercise 18 is repeated below. Lead Time (days) Frequency 0 up to 5 .......... 6 5 up to 10.......... 7 10 up to 15..........12 15...
A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were...
2.8. State whether the following models are linear regression models: a. Yi = B1 + B2(l / Xi) b. Yi = B1 + B2 In Xi + ui c. In Yi = B1 + B2 Xi + ui d. In Yi = B} + B2In Xi + ui e. Yi = Bi + B2B3Xi +...
Assuming that drag is proportional to the square of velocity, we can model the velocity of a falling object like a parachutist with the following differential equation: d/dt = g cd/m 2 Where is...
Faradays law characterizes the voltage drop across an inductor as Where V L = voltage drop (V), L inductance (in henrys; 1 H = l V s/A), i = current (A), and t = time (s). Determine the voltage drop...
A hospital is planning an $8 million addition to its existing facility. The architect has been asked to consider the following design parameters: (1) There should be at least 10 and no more than 20...
Suppose that the following estimates of activity times (in weeks) were provided for the network shown in Problem 6: What is the probability that the project will be completed? a. Within 21 weeks? b....
A poll taken during the recession in 2008 asked 600 adults a series of questions about the state of the economy and their children's future. One question was, "Do you expect your children to have a...
You have been given the task of estimating the percentage of Southwest flights that arrive on time, which is no later than 15 minutes after the scheduled arrival time. How many flights must you...
The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution of ages of cars on U.S. roads is approximately bell shaped. If 99.7% of...
Use the data in KIELMC.RAW for this exercise. (i) The variable dist is the distance from each home to the incinerator site, in feet. Consider the model log(price) = (0 + (0y81 + (1 log(dist) + (0y81...
The production manager of a large Cincinnati manufacturing firm once made the statement, "I would like to use LP, but it's a technique that operates under conditions of certainty. My plant doesn't...
AMS communicates with customers who sub-scribe to cable television services through a special se-cured email system that sends messages about service changes, new features, and billing information to...
A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimate the proportion who have health insurance and the mean dollar amount that Americans spent on health...
Suppose that a city has 90,000 dwelling units, of which 35,000 are houses, 45,000 are apartments, and 10,000 are condominiums. 1. You believe that the mean electricity usage is about twice as much...
A study at the University of Colorado at Boulder shows that running increases the percent resting metabolic rate (RMR) in older women. The average RMR of 30 elderly women runners was 34.0% higher...
The table below represents the college degrees awarded in a recent academic year by gender. Choose a degree at random. Find the probability that it is a. A bachelors degree b. A doctorate or a degree...
A professor records the majors of her 30 students as follows: a. What is the measurement scale of these data? b. Summarize the results in tabular form. c. What information can be extracted from...
An accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 140 students in the fall semester, she gave out only 5% As, 23% Bs, 42% Cs, and 30% Ds...
The average per capita income for Wisconsin is reported to be $37,314, and for South Dakota it is $37,375almost the same thing. A random sample of 50 workers from each state indicated the following...
A gear manufacturer is planning next weeks production run for four types of gears. If necessary, it is possible to outsource any type of gear from another gear company located nearby. The following...
The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 120, 130, 100, 205, 185, and 220. She believes that the number of...
The table shows the political affiliations of U.S. voters and their positions on supporting stronger immigration enforcement. a) What's the probability that i) A randomly chosen voter favors stronger...
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 10,000. The number of fish tripled in the first...
The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities: a. Which brand appears to have the most loyal customers? Explain....
The test statistic of z = -1.75 is obtained when testing the claim that p = 1/3. Assume that the significance level is a = 0.05; use the given statement and find the P-value and critical values.20.
The adjusted seasonal indexes presented in Table P-19 reflect the changing volume of business of the Mt. Spokane Resort Hotel, which caters to family tourists in the summer and skiing enthusiasts...
Do you think the government protects investors adequately? This question was part of an online survey of investors under age 65 living in the United States and Great Britain (Financial Times/Harris...
A survey of eating habits showed that approximately 4% of people in Portland, Oregon, are vegans. Vegans do not eat meat, poultry, fish, seafood, eggs, or milk. A restaurant in Portland expects 300...
Open MTL_ QRTStudy. pdf, which documents the work of a quality response team at MyTVLab. Read the internal report that documents the work of the team and their conclusions. Then answer the following:...
For the United States, the mean monthly Internet bill is $32.79 per household (CNBC, January 18, 2006). A sample of 50 households in a southern state showed a sample mean of $30.63. Use a population...
A paper mill uses a control chart to monitor the imperfection nin finished rolls of paper. Production output is inspected for 20 days, and the resulting data are shown in Table 7E.13. Use these data...
A procurement specialist has purchased 25 resistors from vendor 1 and 35 resistors from vendor 2. Each resistors resistance is measured with the following results: (a) What distributional assumption...
Star Power Company is a power company in the Midwest region of the United States. Star buys and sells energy on the spot market. Star can store power in a high-capacity battery that can store up to...
A local beer producer sells two types of beer, a regular brand and a light brand with 30% fewer calories. The companys marketing department wants to verify that its traditional approach of appealing...
A survey of MBA students obtained the following data on Students first reason for application to the school in which they matriculated. a. Develop a joint probability table using these data. b. Use...