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...
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...
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)...
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...
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...
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. a. What is the...
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)...
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...
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...
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 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...
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...
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...
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...
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...
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...
The mean monthly rent of students at Oxnard University is $875 with a standard deviation of $219. (a) John's rent is $1,325. What is his standardized z-score? (b) Is John's rent an outlier? (c) How...
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,...
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,...
Over any given month, Dress-Rite loses 10% of its customers to Fashion, Inc., and 20% of its market to Luxury Living. But Fashion, Inc., loses 5% of its market to Dress-Rite and 10% of its market to...
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....
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...
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...
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...
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...
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...
Reconsider the Fly-Right Airplane Co. problem introduced in Prob. 12.3-7. A more detailed analysis of the various cost and revenue factors now has revealed that the potential profit from producing...
Recall that the HyTex Company is a direct marketer of technical products and that the file Catalog Marketing.xlsx contains recent data on 1000 HyTex customers. a. Identify all customers who are...
In a Harris Interactive survey, 2303 adults were asked whether they believe in five different things, and the accompanying table summarizes the results. Does this table describe a relative frequency...
The following frequency table shows the classification of 58 landfills in a state according to their concentration of the three hazardous chemicals arsenic, barium, and mercury. If a landfill is...
Referring to Exercise 3.38, find (a) The marginal distribution of X; (b) The marginal distribution of Y.
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...
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...
(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...
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...
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...
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....
To find out whether a new serum will arrest leukemia, 9 mice, all with an advanced stage of the disease, are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the...
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...
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...
Find z0 such that P (z0 < z < 2.5) = 0.7672.
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...
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...
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:...
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...
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...
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 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...
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...
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...
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...
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...
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...
Samples of n = 4 items are taken from a process at regular intervals. A normally distributed quality characteristic is measured and x and s values are calculated for each sample. After 50 subgroups...
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...
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...
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...
Gina Fox is a student who will be graduating soon, and she is planning to attend graduate school to work toward an MBA. Gina has been accepted into the graduate programs at three universities. Now...
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...
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...
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...
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...
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 $7,790 (Kiplinger's , August 2007). Assume...
Each of the following pairs represents the number of licensed drivers (X) and the number of cars (Y) for seven houses in my neighborhood: DRIVERS ( X ) CARS ( Y ) 5.............. 4 5.............. 3...
Lisun Company produces a variety of gardening tools and aids. The company is examining the possibility of investing in a new production system that will reduce the costs of the current system. The...
The Chapter Problem for Chapter 3 includes the numbers of chocolate chips in a sample of 40 Chips Ahoy regular cookies. The mean is 23.95 chocolate chips and the standard deviation is 2.55 chocolate...
GfK Roper surveyed people worldwide asking them how important is acquiring wealth to you. Of 1535 respondents in India, 1168 said that it was of more than average importance. In the United States of...
The following table shows an example of gross domestic product values for five countries from 2005 to 2010 in equivalent U.S. dollars ($). a. How could you improve the readability of this table? b....
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the cumulative distribution function of flange thickness. (b) Determine...
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...
The L. Young & Sons Manufacturing Company produces two products, which have the following profit and resource requirement characteristics: Last months production schedule used 350 hours of labor in...
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...
The Excel file Major League Baseball provides data on the 2010 season. a. Construct and examine the correlation matrix. Is multicollinearity a potential problem? Find the variance inflation factors...
A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these 40 bulbs...
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...
Schedule the final exams for Math 115, Math 116, Math 185, Math 195, CS 101, CS 102, CS 273, and CS 473, using the fewest number of different time slots, if there are no students taking both Math 115...
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
After the rst exam in a statistics course, Professor Katula surveyed 14 randomly selected students to determine the relation between the amount of time they spent studying for the exam and exam...
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...
Assume that the following quantity discount schedule is appropriate. If annual demand is 120 units, ordering costs are $20 per order, and the annual holding cost rate is 25%, what order quantity...
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...
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...
In 2008, the Centers for Disease Control and Prevention reported that 34% of adults in the United States are obese. A county health service planning a new awareness campaign polls a random sample of...
Use MacKinnon, White, and Davidsons PE test to determine whether a linear or loglinear production model is more appropriate for the data in Appendix Table F6.1. (The test is described in Section...
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...
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...
You work for a large global management consulting company. Of the entire work force of analysts, 55% have had no experience in the telecommunications industry, 32% have had limited experience (less...
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that a. Z is between 1.57 and 1.84? b. Z is less than 1.57 or...
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...
Researchers investigated how the size of a bowl affects how much ice cream people tend to scoop when serving themselves. At an "ice cream social," people were randomly given either a 17 oz or a 34 oz...
According to Nielsen Media Research, approximately 52% of all U.S. households have digital cable television. In addition, 84% of all U.S. households have multiple TV sets. Suppose 45% of all U.S....
The probability that a corporation makes charitable contributions is .72. Two corporations are selected at random, and it is noted whether or not they make charitable contributions. a. Draw a tree...
A textbook publisher wants to determine what percentage of college professors either require or recommend that their students purchase textbook packages with supplemental materials, such as study...
Table P-18 contains data values that represent the monthly sales (in billions of dollars) of all retail stores in the United States. Using the data through 1994, perform a decomposition analysis of...
Alan Resnik, a friend of Ray Cahnman, bet Ray $5 that Ray's car would not start five days from now (see Problem 15-8). (a) What is the probability that it will not start five days from now if it...