In the Normal model N(100, 16) for IQ scores from Exercise 24, what cutoff value bounds the a) Highest 5% of all IQs? b) Lowest 30% of the IQs? c) Middle 80% of the IQs? d) Lowest 90% of all IQs?
The technology committee has stated that the average time spent by students per lab visit has increased, and the increase supports the need for increased lab fees. To substantiate this claim, the...
The data shown represent the cigarette tax (in cents) for 50 selected states. Check for normality. 200 160 156 200 30 300 224 346 170 5:5 160 170 270 60 578037 153 200 60 100 178 302 84 251 125 44...
A large corporation collected data on the reasons both middle managers and senior managers leave the company. Some managers eventually retire, but others leave the company prior to retirement for...
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 sea- son showed the...
In the basic EOQ model, suppose the stock is replenished uniformly (rather than instantaneously) at the rate of b items per unit time until the order quantity Q is fulfilled. Withdrawals from the...
Consider the following blood inventory problem facing a hospital. There is need for a rare blood type, namely, type AB, Rh negative blood. The demand D (in pints) over any 3-day period is given by...
Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known standard deviations 1 = 0.010 liter and 2 = 0.015 liter, respectively. A random sample of...
Ed Lubbock's FlashCard bill is below. There are entries missing. a. What is Ed's average daily balance? b. What is Ed's finance charge? c. What is Ed's new balance? d. What is Ed's available credit?...
Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be 1 = 0.10 fluid ounces and 2 = 0.15 fluid ounces for the two machines,...
Refer to the figure at the top of the next page in which surge protectors p and q are used to protect an expensive 3D HDTV. If there is a surge in the voltage, the surge protector reduces it to a...
Hospital personnel routinely examine patient records for error, such as incomplete insurance information, on incomplete patient history, or missing/incomplete medical records. On average, about 250...
Web site contains data on 1247 cars from 2008.14 Is there a strong relationship between a car's MPG (miles per gallon) and the number of cylinders it has? a. Create a scatter plot of the combined MPG...
Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. a. Use the graphical solution...
The vice president of programming at NBC is finalizing the prime-time schedule for the fall. She has decided to include a hospital drama but is unsure which of two possibilities to select. She has a...
A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0 and 90.0. b. Compute the probability of a value of 75.0 or less. c. Compute...
Sam Steward is a freelance Web page designer. Listed below are his yearly wages for several years between 2007 and 2013. Also included is an industry index for Web page designers that reports the...
Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% condence interval for the...
Bolton Securities is about to implement a drug-testing procedure for company employees. In a recent anonymous survey, 20% of Boltons employees admitted to using illegal drugs. The random drug testing...
Refer to Sec. 3.4 (subsection entitled "Controlling Air Pollution") for the Nori & Leets Co. problem. After the OR team obtained an optimal solution, we mentioned that the team then conducted...
A letter in the December 1995 issue of Dell Champion Variety Puzzles stated: Ive noticed over the last several issues there have been no winners from the South in your contests. You always say that...
In Example 8.7, we computed the OLS and a set of WLS estimates in a cigarette demand equation. (i) Obtain the OLS estimates in equation (8.35). (ii) Obtain the h. used in the WLS estimation of...
A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep and the margins on each side are 2 inches wide (see figure). a. Show...
In an article Shelf-Space Strategy in Retailing, published in the Proceedings: Southern Marketing Association, the effect of shelf height on the supermarket sales of canned dog food is investigated....
Wisconsin is an important milk-producing state. Some people might argue that because of transportation costs, the cost of milk increases with the distance of markets from Wisconsin. Suppose the milk...
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect...
The Times-Observer is a daily newspaper in Metro City. Like many city newspapers, the Times-Observer is suffering through difficult financial times. The circulation manager is studying other...
(a) Estimate whether the following pairs of scores for X and Y reflect a positive relationship, a negative relationship, or no relationship. Hint: Note any tendency for pairs of X and Y scores to...
A credit card customer at Barnes and Noble can use Visa (V), MasterCard (M ), or American Express (A). The merchandise may be books (B), electronic media (E), or other (O). (a) Enumerate the...
The number of counties, divisions, or parishes for each of the 50 states is given below. Use the data to construct a grouped frequency distribution with 6 classes, a histogram, a frequency polygon,...
Poindexter finds r = -.80 when correlating number of hours studied and number of errors made on a statistics test. He also finds r = + .40 between speed of taking the test and number of errors on the...
According to Runzheimer International, in a survey of relocation administrators 63% of all workers who rejected relocation offers did so for family considerations. Suppose this figure was obtained by...
Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are rare at a certain dealership, occurring at a mean rate of 0.1 claim per month. (a) What is the probability that the...
A university has 807 faculty members. For each faculty member, the number of refereed publications was recorded. This number is not directly available on the database, so requires the investigator to...
A plant manager is interested in developing a quality-control pro-gram for an assembly line that produces light bulbs. To do so, the manager considers the quality of the products that come from the...
A vending machine is programmed to count out the correct change for each transaction. Formulate and solve an IP model that will determine how change is to be made for a purchase of $4.43, when a $10...
The lifetime, in weeks, of a certain type of transistor is known to follow a gamma distribution with mean 10 weeks and standard deviation 50 weeks. (a) What is the probability that the transistor...
The Gilbert Air-Conditioning Company is considering the purchase of a special shipment of portable air conditioners manufactured in Japan. Each unit will cost Gilbert $80, and it will be sold for...
A uniform distribution is defined over the interval from 6 to 10. a. What are the values for a and b? b. What is the mean of this uniform distribution? c. What is the standard deviation? d. Show that...
A particular automobile costs an average of $21,755 in the Pacific Northwest. The standard deviation of prices is $650. Suppose a random sample of 30 dealerships in Washington and Oregon is taken,...
Six months before its annual convention, the American Medical Association must determine how many rooms to reserve. At this time, the AMA can reserve rooms at a cost of $150 per room. The AMA...
The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 27,...
The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For a female full professor at the same kind of institution, the...
The U.S. Energy Information Association claims that the mean monthly residential electricity consumption in your town is more than 874 kilowatt-hours (kWh). You want to test this claim. You find that...
A recent article in The Wall Street Journal titled As Identity Theft Moves Online, Crime Rings Mimic Big Business states that 39% of the consumer scam complaints by American consumers are about...
In controlling the quality of a new drug, a dose of medicine is supposed to contain an average of 247 parts per million (ppm) of a certain chemical. If the concentration is higher than 247 ppm, the...
Consider the time-varying process behavior shown below. Match each of these several patterns of process performance to the corresponding and R charts shown in Figures (a) to (e) below. Control Chart...
Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following problem interactively: Minimize Z = 5x1 + 6x2 + 7x3 + 8x4 + 9x5, Subject to and xj is binary, for j = 1, 2, . . ....
Consider a portion of simple linear regression results, y = 105.40 + 39.17x1; SSE = 407,308; n = 30 In an attempt to improve the results, two explanatory variables are added. The relevant regression...
Suppose that P (A|B) = 0.4 and P(B) = 0.5. Determine the following: (a) P (A B) (b) P (A B)
In a sample of 1,000 representing a survey from the entire population, 650 people were from Laketown, and the rest of the people were from River City. Out of the sample, 19 people had some form of...
For each variable presented, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right. Justify your reasoning. (a) Annual household incomes in...
A survey sponsored by the American Laser Centers included responses from 575 adults, and 24% of the respondents said that the face is their favorite body part (based on data from USA Today). What is...
The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) Write...
In Problem 3.66a, find the conditional probability that relays 1 and 2 are both closed given that a current flows from A to B. Problem 3.66 The probability of the closing of the ith relay in the...
Determine the following probabilities from the curve f(x) diagrammed in Exercise 6.1 (a). (a) P[0 < X < .5] (b) P[.5 < X < 1] (c) P[1.0 < X < 2] (d) P[X = 1]
A portion of a data set containing information for 45 mutual funds that are part of the Morningstar Funds 500 for 2008 follows. The complete data set is available in the file named MutualFunds. The...
Data Set 15 in Appendix B lists 48 different departure delay times (minutes) for American Airlines flights from New York (JFK) to Los Angeles. Negative departure delay times correspond to flights...
A survey of 1,085 adults asked Do you enjoy shopping for clothing for yourself? The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the...
Suppose that a communications network transmits binary digits, 0 or 1, where each digit is transmitted 10 times in succession. During each transmission, the probability is 0.995 that the digit...
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks. A portion of the data for 311 compact, midsized, and large cars follows. The Class column...
Use the following GSS data on fear, race, and home ownership for this exercise. Variables measure respondents race, whether the respondent fears walking alone at night, and his or her home ownership....
Based on the data for the years 1962 to 1977 for the United States, Dale Bails and Larry Peppers obtained the following demand function for automobiles: t = 5807 + 3.24Xt r2 = 0.22 se = (1.634) where...
Suppose that at the beginning of 2004 you invested $10,000 in the Stivers mutual fund and $5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided...
Three linked bungee jumpers are depicted in Fig. P25.26. If the bungee cords are idealized as linear springs (i.e., governed by Hooke's law), the following differential equations based on force...
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. What is the probability of (a) A white chip on the first draw? (b) A white...
The Marriott Tub Company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of...
Stockbroker Suzan Shader has made the following recommendations to her client: The client agrees to this list but provides several conditions: (1) No more than $2000 can be invested, (2) The money is...
Laughter is often called the best medicine, since studies have shown that laughter can reduce muscle tension and increase oxygenation of the blood. In the International Journal of Obesity (Jan....
Theo Harris earns $55,000 a year and has $9,000 to invest in a portfolio. His investment alternatives and their expected returns are shown in the table at the top of the next column. Theos investment...
Medical billing errors and fraud are on the rise. According to Medical Billing Advocates of America, 8 out of 10 times, the medical bills that you get are not right. (Data extracted from "Services...
Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of two counts per minute. (a) What is the probability that there are no counts in a 30- second interval? (b)...
Battery life between charges for the Motorola Droid Razr Maxx is 20 hours when the primary use is talk time (The Wall Street Journal, March 7, 2012). The battery life drops to 7 hours when the phone...
The Whitehawk Indian Tribe wants to know the average number of absences for each student at the elementary school run by the Bureau of Indian Affairs (BIA). The tribe members believe that the number...
Brynne Packaging is a large packaging company, offering its customers the highest standards in innovative packaging solutions and reliable service. About 25% of the employees at Brynne Packaging are...
The number of cars passing eastbound through the intersection of Mill and University Avenues has been tabulated by a group of civil engineering students. They have obtained the data in the adjacent...
The Ventron Engineering Company has just been awarded a $2 million development contract by the U.S. Army Aviation Systems Command to develop a blade spar for its Heavy Lift Helicopter program. The...
Even with email, offices use a lot of paper. The manager of an office has estimated how many reams (packs of 500 sheets) are used each day and has assigned these probabilities. (a) How many reams...
Use Newton's method and the modified Newton's method described in Eq. (2.13) to find a solution accurate to within 105 to the problem e6x + 1.441e2x 2.079e4x 0.3330 = 0, for 1 x 0 This is the...
(Liberatore and Miller, 1985) A manufacturing facility uses two production lines to produce three products over the next 6 months. Backlogged demand is not allowed. However, a product may be...
Consider the data set shown in Table 7.8. The first attribute is continuous, while the remaining two attributes are asymmetric binary. A rule is considered to be strong if its support exceeds 15% and...
The data contained in the Data file named Food Industry show the company/chain name, the average sales per store ($1000s), and the food segment industry for 47 restaurant chains (Quick Service...
The probability that an automobile being filled with gasoline will also need an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and...
(a) Determine the roots of (x) = 12 21x + 18x2 -2.75x3 graphically. In addition, determine the first root of the function with (b) Bisection, and (c) False position. For (b) and (c) use initial...
A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained: a. Using...
A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good....
The Tire Rack, Americas leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and driving...
Is Blood Pressure the Same for Both Arms? Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman (based on data from Consistency of Blood...
The following contingency table of frequencies is based on a 5-year study of fire fatalities in Maryland. For purposes of clarity, columns and rows are identified by the letters AC and DG,...
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate ∫2 f(x) dx, where f is the function whose graph is shown. The estimates were 0.7811, 0.8675, 0.8632, and...
More than 50 million guests stayed at bed and breakfasts (B&Bs) last year. The Web site for the Bed and Breakfast Inns of North America (www.bestinns.com), which averages approximately seven visitors...
J. D. Power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of...
How long does it take to y from Denver to Atlanta on Delta Airlines? The table below shows 56 observations on fight times (in minutes) for the first week of March 2005. (a) Use the grouped data...
The Pew Research Center did a survey of 2253 adults and discovered that 63% of them had broadband Internet connections in their homes. The survey report noted that this figure represented a...
On March 31, 2009, Ford Motor Companys shares were trading at a 26-year low of $2.63. Fords board of directors gave the CEO a grant of options and restricted shares with an estimated value of $16...
The probability distribution of the weekly demand for copier paper (in hundreds of reams) used in the duplicating center of a corporation is provided in the file S04_58.xlsx. a. Find the mean and...
Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was sponsored by the New York Times and the stores...
A sporting goods company operates retail stores in the New York and Atlanta areas. Customers were asked to rate their shopping experiences, the results of which are summarized in the following table:...
Mom-and-Pops Grocery Store has a small adjacent parking lot with three parking spaces reserved for the stores customers. During store hours, cars enter the lot and use one of the spaces at a mean...
The values in the table below are measured maximum breadths (in millimeters) of male Egyptian skulls from different epochs (based on data from Ancient Races of the Thebaid, by Thomson and...