(a) Thirty observations on the oxide thickness of individual silicon wafers are shown in table 6E.23. Use these data to set up a control chart on oxide thickness and a moving range chart. Does the...
After declining between 1940 and 1980, the number of multigenerational American households has been increasing since 1980. The function h(x) = 0.012x2 - 0.583x + 35.727 can be used to estimate the...
In order to determine the effects of collegiate athletic performance on applicants, you collect data on applications for a sample of Division I colleges for 1985, 1990, and 1995. (i) What measures of...
In a test of a printed circuit board using a random test pattern, an array of 10 bits is equally likely to be 0 or 1. Assume the bits are independent. (a) What is the probability that all bits are...
A passenger metal detector at Chicago's Midway Airport gives an alarm 0.5 time a minute. (a) Find the median waiting time until the next alarm. (b) Find the first quartile of waiting time before the...
Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 1.2) to solve the following system to a tolerance of S = 5%. If necessary, rearrange the equations to achieve...
Listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the Half-Blood Prince. The movie opened on a Wednesday, and the amounts are...
Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the density curve that lies to the a. Right of 8. b. Left of 8.
In Problem 3-37, you helped the medical professionals analyze their decision using expected monetary value as the decision criterion. This group has also assessed their utility for money: U($ 45,000)...
According to figures released by the New York City government, smoking among New York City teenagers is on a decline, continuing a trend that began more than a decade ago ( The New York Times ,...
A company that sells frozen pizza to stores in four markets in the United States (Denver, Baltimore, Dallas, and Chicago) wants to examine the prices that the stores charge for pizza slices. Here are...
In a KRC Research poll, 1002 adults were asked if they felt vulnerable to identify theft, and 531 of them said yes. Use a 0.05 significance level to test the claim that the majority of adults feel...
A school psychologist wishes to determine whether a new antismoking film actually reduces the daily consumption of cigarettes by teenage smokers. The mean daily cigarette consumption is calculated...
A certain outpatient medical procedure has five steps that must be performed in sequence. (a) Assuming that the time (in minutes) required for each step is an independent random variable, find the...
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously...
Thomas Furniture Company concludes that production scheduling can be improved by developing an accurate method of predicting quarterly sales. The company analyst, Mr. Estes, decides to investigate...
A part selected for testing is equally likely to have been produced on any one of six cutting tools. (a) What is the sample space? (b) What is the probability that the part is from tool 1? (c) What...
An article in the Tappi Journal (March, 1986) presented data on green liquor Na2S concentration (in grams per liter) and paper machine production (in tons per day) Te data read from a graph) are...
The owner of the West End Kwick Fill Gas Station wishes to determine the proportion of customers who use a credit card or debit card to pay at the pump. He surveys 100 customers and finds that 80...
Listed below are brain volumes (cm3) of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1100.0 cm3. 963...
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260...
In a management trainee program at Claremont Enterprises, 80% of the trainees are female and 20% male. Ninety percent of the females attended college, and 78% of the males at-tended college. a. A...
The following data represent the survival data for the ill-fated Titanic voyage by gender. The males are adult males and the females are adult females. Suppose a passenger is selected at random. (a)...
Leah Sanchez is concerned that if she orders too few calendars, customers disappointment in not finding a calendar might drive them to shop elsewhere, resulting in more of a loss over the long term...
Identify the feasible region for the following set of constraints: 2A - 1B 0 -1A + 1.5B 200 A, B 0
The Cotton Mill is an upscale chain of womens clothing stores, located primarily in the southwest United States. Due to recent success, The Cotton Mills top management is planning to expand by...
Is there a difference in the variation of the yields of different types of investments? The file CD Rate contains the yields for one- year certificates of deposit (CDs) and five- year CDs for 22...
A souvenir retailer has an opportunity to establish a new location inside a large airport. The annual returns will depend primarily on the size of the space she rents and if the economy will be...
Suppose you have just poured a cup of freshly brewed coffee with temperature 95oC in a room where the temperature is 20oC. (a) When do you think the coffee cools most quickly? What happens to the...
The fuel economy of a 2011 Lexus RX 350 2WD 6 cylinder 3.5 L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of = 25.0 MPG - and a standard deviation of =...
A metropolitan police agency is studying the incidence of drivers operating their vehicles without the minimum liability insurance required by law. The data are collected from drivers who have been...
Do you think global warming will have an impact on you during your lifetime? A CbS News / New York times poll of 1000 adults in the United States asked this question (CbS News website, December,...
A few years back, Dave and Jana bought a new home. They borrowed $230,415 at a fixed rate of 5.49% (15-year term) with monthly payments of $1,881.46. They just made their twenty-fifth payment and the...
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a....
Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo (Bandelier Archaeological Excavation Project: Summer 1989 Excavations at Burnt Mesa Pueblo, edited by Kohler,...
PBS news Hour reported that 39.4% of Americans between the ages of 25 and 64 have at least a two-year college degree (PBS website, December 15, 2014). Assume that 50 Americans between the ages of 25...
Florin Frenti operates a small, used car lot that has three Mercedes (M1, M2, M3) and two Toyotas (T1, T2). Two customers, Cezara and Anda, come to his lot, and each selects a car. The customers do...
A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are...
Among U.S. cities with a population of more than 250,000, the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York City, where the mean time is 38.3...
Fewer than 20% of M&M candies are green. The hypothesis test results in a P-value of 0.0721. Assume a significance level of = 0.05 a. State a conclusion about the null hypothesis. b. Without using...
Two mating parts have critical dimensions x1 and x2 as shown in the figure. Assume that x1 and x2 are normally distributed with means 1 and 2 and standard deviations 1 = 0.400and 2 = 0.300. If it is...
The total time, measured in units of 100 hours, that a teenager runs her stereo set over a period of one year is a continuous random variable A that has the density function Use Theorem 4.6 to...
Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S = 20 L0.30 C 0.70...
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of...
n = 100 random samples of water from a fresh water lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is 0.49 < < 0.82. (a)...
U.S. consumers are increasingly viewing debit cards as a convenient substitute for cash and checks. The average amount spent annually on a debit card is $7,790 (Kiplinger's , August 2007). Assume...
The Professional Golfers Association (PGA) maintains data on performance and earnings for members of the PGA Tour. For the 2012 season Bubba Watson led all players in total driving distance, with an...
Find z0 such that P (z0 < z < 2.5) = 0.7672.
An investor wishes to invest some or all of his $12.5 million in a diversified portfolio through a commercial lender. The types of investments, the expected interest per year, and the maximum allowed...
The upper leg length of 20- to 29-year-old males is normally distributed with a mean length of 43.7 cm and a standard deviation of 4.2 cm. (a) What is the probability that a randomly selected 20- to...
Baba Furniture Company employs four carpenters for 10 days to assemble tables and chairs. It takes 2 person-hours to assemble a table and .5 person-hour to assemble a chair. Customers usually buy one...
Use the ogive in Exercise 21 to approximate (a) The cumulative frequency for a weight of 345.5 pounds. (b) The weight for which the cumulative frequency is 35. (c) The number of gorillas that weigh...
Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. A new client has requested that the firm handle an $800,000 portfolio. As an initial investment...
The following table shows an example of gross domestic product values for five countries from 2005 to 2010 in equivalent U.S. dollars ($). a. How could you improve the readability of this table? b....
The following list shows the 15 largest banks in the world by assets according to EagleTraders.com. Compute the median and the mean assets from this group. Which of these two measures do think is...
Recent research suggests that Americans make an average of 10 phone calls per day (CNN , August 26, 2010). Let the number of calls be normally distributed with a standard deviation of 3 calls. a....
An eight-team single-elimination tournament is set up as follows: For example, eight students (called AH) setup a tournament among themselves. The top-listed student in each bracket calls heads or...
The molecular weight of a particular polymer should fall between 2,100 and 2,350. Fifty samples of this material were analyzed with the results x = 2,275 and s = 60. Assume that molecular weight is...
The Student Government Association at Middle Carolina University wanted to demonstrate the relationship between the number of beers a student drinks and his or her blood alcohol content (BAC). A...
Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles. Management also believes that the standard deviation is 5000 miles and that tire mileage is...
Barrons reported that the average number of weeks an individual is unemployed is 17.5 weeks (Barrons, February 18, 2008). Assume that for the population of all unemployed individuals the population...
A maker of energy drinks is considering abandoning can containers and going exclusively to bottles because the sales manager believes customers prefer drinking from bottles. However, the vice...
Johnson Electronics makes calculators. Consumer satisfaction is one of the top priorities of the companys management. The company guarantees the refund of money or a replacement for any calculator...
According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete. (a) Suppose a random sample of 500 adult Americans is asked whether marriage is...
Referring to Exercise 3.38, find (a) The marginal distribution of X; (b) The marginal distribution of Y.
A random sample of states yielded the following numbers of local school districts and the corresponding numbers of secondary schools. Is there a significant relationship between the data? Perform the...
South Central Utilities has just announced the August 1 opening of its second nuclear generator at its Baton Rouge, Louisiana, nuclear power plant. Its personnel department has been directed to...
General Foundry's project crashing data are shown in Table 12.9. Crash this project to 13 weeks using CPM. What are the final times for each activity after crashing? TIME (WEEKS) COST (S) CRASH COST...
A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. a. What is the probability a vacationer...
The police department in Madison, Connecticut released the following numbers of calls for the different days of the week during a recent February that had 28 days: Monday (114); Tuesday (152);...
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted six...
Consider the inventory example presented in Sec. 29.1 except that demand now has the following probability distribution: P{D = 0} = 1/4, P{D = 2} = 1/4, P{D = 1} = 1/2, P{D > 3} = 0. The ordering...
Suppose police set up radar surveillance on the Stanford street described in Exercise 26. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of...
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a...
Camyo Manufacturing produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day. The following table provides the time in minutes required by each...
The graph shows the fuel consumption of a car (measured in gallons per hour) as a function of the speed of the car. At very low speeds the engine runs inefficiently, so initially decreases as the...
Solve the following linear program using the graphical solution procedure: Max 5A + 5B s.t. 1A 100 1B 80 2A + 4B 400 A, B 0
Refer to the computer solution of the Kelson Sporting Equipment problem in Figure. THE MANAGEMENT SCIENTIST SOLUTION FOR THE KELSON SPORTING EQUIPMENT PROBLEM a. Determine the objective coefficient...
To help Estimate the size of the disposable razor market, a random sample of men was asked to count the number of shaves they used each razor for. Assume that each razor is used once per day....
A ceramics factory can fire eight large batches of pottery a day. Sometimes a few of the pieces break in the process. In order to understand the problem better, the factory records the number of...
Using the trend projection method, develop a forecasting model for the sales of Cool-Man air conditioners. Data from Sales of Cool-Man air conditioners have grown steadily during the past 5 years:...
Fifty-four percent of parents would give up cable television to have their childs education paid for. You randomly select five parents. Find the probability that the number of parents who would give...
The Oconee County, South Carolina, superintendent of education is responsible for assigning students to the three high schools in his county. A certain number of students have to travel to and from...
The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two...
Most four-year automobile leases allow up to 60,000 miles. If the lessee goes beyond this amount, a penalty of 20 cents per mile is added to the lease cost. Suppose the distribution of miles driven...
Randomly selected records of 140 convicted criminals reveal that their crimes were committed on the following days of the week: (a) Using the .01 level of significance, test the null hypothesis that...
Glass bottles are formed by pouring molten glass into a mold. The molten glass is prepared in a furnace lined with firebrick. As the firebrick wears, small pieces of brick are mixed into the molten...
Explain how a change in a technological coefficient can affect a problem's optimal solution. How can a change in resource availability affect a solution?
Consider the following time series data: a. Construct a time series plot. What type of pattern exists in the data? b. Use an Excel or LINGO model with dummy variables as follows to develop an...
The resistivity p of a conducting wire is the reciprocal of the conductivity and is measured in units of ohm-meters (-m). The resistivity of a given metal depends on the temperature according to the...
Hospital administrators in large cities anguish about problems with traffic in emergency rooms in hospitals. For a particular hospital in a large city, the staff on hand cannot accommodate the...
A new study has found that, on average, 6- to 12-year-old children are spending less time on daily household chores today compared to 1981 levels (The Wall Street Journal, August 27, 2008). Suppose...
Astronomers use a technique called stellar stereography to determine the density of stars in a star cluster from the observed (two-dimensional) density that can be analyzed from a photograph. Suppose...
An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of the people who used the shredder were satisfied with it. Because of this...
Suppose that the size of pebbles in a river bed is normally distributed with mean 12.1mm and standard deviation 3.2 mm. A random sample of 9 pebbles are measured. Let denote the average size of the...
A recent news report indicated that 20% of all employees steal from their company each year. If a company employs 50 people, what is the probability that: a. Fewer than five employees steal? b. More...
Fortune provides a list of Americas largest corporations based on annual revenue. Shown below are the 50 largest corporations, with annual revenue expressed in billions of dollars (CNN Money website,...
The Chapter Problem for Chapter 3 includes the numbers of chocolate chips in a sample of 40 Chips Ahoy regular cookies. The mean is 23.95 chocolate chips and the standard deviation is 2.55 chocolate...
GfK Roper surveyed people worldwide asking them how important is acquiring wealth to you. Of 1535 respondents in India, 1168 said that it was of more than average importance. In the United States of...
The following questions refer to a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6: a. Write a constraint modeling a situation in which two of the...