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...
The Nielsen Home Technology Report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50 persons....
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,...
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...
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...
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...
Suppose that P (A|B) = 0.4 and P(B) = 0.5. Determine the following: (a) P (A B) (b) P (A B)
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)...
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...
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...
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...
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 average total dollar purchase at a convenience store is less than that at a supermarket. Despite smaller-ticket purchases, convenience stores can still be profitable because of the size of...
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...
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...
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...
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...
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...
(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...
Develop your own original LP problem with two constraints and two real variables. (a) Explain the meaning of the numbers on the right-hand side of each of your constraints. (b) Explain the...
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...
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:...
At the end of 2008, the variance in the semiannual yields of overseas government bond was 2 = .70. A group of bond investors met at that time to discuss future trends in overseas bond yields. Some...
The Wirehouse Lumber Company will soon begin logging eight groves of trees in the same general area. Therefore, it must develop a system of dirt roads that makes each grove accessible from every...
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...
A study was made to determine if the subject matter in a physics course is better understood when a lab constitutes part of the course. Students were randomly selected to participate in either a...
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 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...
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...
A company selling licenses for new e-commerce computer software advertises that firms using this software obtain, on average during the first year, a yield of 10% on their initial investments. A...
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 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...
The vertical stress z under the corner of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesqs equation: Because this equation is inconvenient to...
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 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...
Heart disease can be cured by wearing a magnetic bracelet on your wrist. Determine whether the stated causal connection is valid. If the causal connection appears to be valid, provide an explanation.
Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but the starting salary and bonus paid to graduates from many of these schools can be substantial. The...
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...
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...
Refer to Data Set 25 "Fast Food" and use the drive through service times for Burger King lunches. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds. Data Set 25...
In the manufacture of electroluminescent lamps, several different layers of ink are deposited onto a plastic substrate. The thickness of these layers is critical if specifications regarding the final...
An oil drilling company ventures into various locations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is 0.25....
Golf Shafts, Inc. (GSI) produces graphite shafts for several manufacturers of golf clubs. Two GSI manufacturing facilities, one located in San Diego and the other in Tampa, have the capability to...
Consider the following hypotheses: H0: 12.6 HA: > 12.6 A sample of 25 observations yields a sample mean of 13.4. Assume that the sample is drawn from a normal population with a known population...
A survey of the business school graduates undertaken by a university placement office asked, among other questions, in which area each person was employed. The areas of employment included: 1....
Assume that r2 equals .50 for the relationship between height and weight for adults. Indicate whether the following statements are true or false. (a) Fifty percent of the variability in heights can...
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...
A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in...
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...
The table (supplied by San Diego Gas and Electric) gives the power consumption in megawatts in San Diego County from midnight to 6:00 A.M. on December 8, 1999. Use Simpsons Rule to estimate the...
There is a declining interest among teenagers to pursue a career in science and health care (US News and World Report, May 23, 2011). Thirty college-bound students in Portland, Oregon, are asked...
A company has two assembly lines, each of which stalls an average of 2.4 times per week according to a Poisson distribution. Assume that the performances of these assembly lines are independent of...
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,...
Poindexter finds that r = .40 between the variables of number of hours studied (X) and number of errors on a statistics test (Y). He also finds that r = + .36 between the variables of time spent...
A study of the amount of rainfall and the quantity of air pollution removed produced the following data:(a) Find the equation of the regression line to predict, the particulate removed from the...
Recent crime reports indicate that 3.1 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability...
You are given the following payoff table (in units of thousands of dollars) for a decision analysis problem: (a) Which alternative should be chosen under the maximin payoff criterion? (b) Which...
How difficult is it to expand the Great Threads model to accommodate another type of clothing? Answer by assuming that the company can also produce sweatshirts. The rental cost for sweatshirt...
The author is a member of the board of directors of a nonprofit organization that held a fund-raising auction. He recorded the opening bids suggested by the auctioneer and the final winning bids for...
The article Americans Drowsy on the Job and the Road (Associated Press, March 28, 2001) summarized data from the 2001 Sleep in America poll. Each individual in a sample of 1004 adults was asked...
A taxi company is interested in the relationship between mileage, measured in miles per gallon, and the age of cars in its fleet. The 12 fleet cars are the same make and size and are in good...
Recall that the cigarette industry requires that models in cigarette ads must appear to be at least 25 years old. Also recall that a sample of 50 people is randomly selected at a shopping mall. Each...
The pH in a reactor varies sinusoidally over the course of a day. Use least-squares regression to fit Eq. (19.11) to the following data. Use your fit to determine the mean, amplitude, and time of...
Baseballs World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves are playing the Minnesota Twins in the World Series and that...
To raise money for a new rectory, the members of a church hold a raffle. A total of n tickets are sold (numbered 1 through n), out of which a total of fifty winners are to be drawn presumably at...
In a steam engine the pressure P and volume V of steam satisfy the equation PV1.4 = k , where is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat...
The following sample data reflect shipments received by a large firm from three different vendors. a. Specify the competing hypotheses to determine whether quality is associated with the source of...
An important feature of tablets is battery life, the number of hours before the battery needs to be recharged. The file Tablets contains the battery life of 12 WiFi only and 7 3G/4G/ WiFi 9 through...
The results of a census of 2,500 employees of a mid-sized company with 401(k) retirement accounts are as follows: Suppose researchers are going to sample employees from the company for further study....
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some to add to the Bar-S herd. How much should a healthy calf weigh? Let x...
Use the data in HSEINV.RAW for this exercise. (i) Find the first order autocorrelation in log(mvpc). Now. find the autocorrelation after linearly detrending log(invpc). Do the same for log( price)....
It is generally believed that a practical major such as business or engineering can really pay off for college graduates (CNNMoney.com, July 22, 2010). Other studies have shown that it is not just...
According to results from the Spine Patient Outcomes Research Trial, or SPORT, surgery for a painful, common back condition resulted in significantly reduced back pain and better physical function...
A statistics practitioner wants to test the following hypotheses with = 20 and n = 100: H0: = 100 H1: > 100 a. Using = .10 find the probability of a Type II error when = 102. b. Repeat part (a)...
A manufacturing company makes two products. Each product can be made on either of two machines. The time (in hours) required to make each product on each machine is listed in the file S13_33.xlsx....
The Central Intelligence Agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted messages that are sent as ciphered text. In standard...
GfK Roper Reports Worldwide surveyed people, asking them How important is acquiring wealth to you? The percent who responded that it was of more than average importance were: 71.9% China, 59.6%...
The average one-way airfare from Pittsburgh to Washington, D.C., is $236. A random sample of 20 one-way fares during a particular month had a mean of $210 with a standard deviation of $43. At =...
You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you...
Use the 2010 GSS file (GSS10SSDS) to investigate the relationship between the respondents education (EDUC) and the education received by his or her father and mother (PAEDUC and MAEDUC,...
Recall that in exercise 49, the admissions officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student's SAT mathematics score and...
Semiconductor lasers used in optical storage products require higher power levels for write operations than for read operations. High-power-level operations lower the useful life of the laser. Lasers...
Three tanks fight a three-way duel. Tank A has probability 1/2 of destroying the tank at which it fires, tank B has probability 1/3 of destroying the tank at which it fires, and tank C has...
Show a separate graph of the constraint lines and the solutions that satisfy each of the following constraints: a. A 0.25 (A + B) b. B 0.10 (A + B) c. A 0.50 (A + B)
The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution. Ages ....... Cumulative Frequency 18 up to 22 ..... 45...
According to an online survey by Harris Interactive for job site CareerBuilder.com, more than half of IT (information technology) workers say they have fallen asleep at work ( InformationWeek ,...
The restaurant in a large commercial building provides coffee for the occupants in the building. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the...
In Exercise 6.1-7, lead concentrations near the San Diego Freeway in 1976 are given. During the fall of 1977, the weekday afternoon lead concentrations (in g/m3) at the measurement station near the...
The researchers in Exercise 12 decide to test the hypothesis. The degrees of freedom formula gives 51.83 df. Test the null hypothesis at ( = 0.05. Is the alternative one or two-sided? In Exercise 12...
An electronic office product contains 5000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume...
Sales for Fast Kat, a 16-foot catamaran sailboat, have averaged 250 boats per month over the last five years, with a standard deviation of 25 boats. Assuming that the demand is about the same as past...
A chemical processing plant has a network of pipes that are used to transfer liquid chemical products from one part of the plant to another. The following pipe network has pipe flow capacities in...
A manufacturing company regularly consumes a special type of glue purchased from a foreign supplier. Because the supplier is foreign, the time gap between placing an order and receiving the shipment...
North Manufacturing has a demand for 1,000 pumps each year. The cost of a pump is $50. It costs North Manufacturing $40 to place an order, and the carrying cost is 25% of the unit cost. If pumps are...
Explain how to determine the number of variables and constraints that would be in a transportation problem simply by knowing the number of sources and the number of destinations.
A random sample of 51 fatal crashes in 2009 in which the driver had a positive blood alcohol concentration (BAC) from the National Highway Trafc Safety Administration results in a mean BAC of 0.167...
1. A Poisson model is well suited to this application so long as the defects come in small clusters of two or three together. 2. To use a Poisson model for the number of defects, we must assume that...