You plan to develop a new software system that you believe will surpass the success of Google and Facebook combined. In planning for the operating system that you will use, you need to estimate the...
A market researcher at a major clothing company that has traditionally relied on catalog mail-order sales decides to investigate whether the amount of monthly online sales has changed. She compares...
A survey of 158 introductory statistics students showed the following contingency table. Find each event probability. a. P(V) b. P(A) c. P(A V ) d. P(A V ) e. P(A | V ) f. P(V | A) Cell Phone...
A taxi company manager is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a...
Referring to the Texas Lotto situation in Problem 7-20 suppose the investor has changed his attitude about the investment and wishes to give greater emphasis to the risk of the investment. Now the...
Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support your...
A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide. What is the length of the longest pipe that can be...
The Webster Manufacturing Company produces a popular type of serving cart. This product, the SL72, is made from the following parts: 1 unit of Part A, 1 unit of Part B, and 1 unit of Subassembly C....
Let Show that if d = a11a22 - a21a12 0, then A=[2:22] a2i 22 a22 -a12 d -a a 421 41)
The average college student goes through 500 disposable cups in a year. To raise environmental awareness, a student group at a large university volunteered to help count how many cups were used by...
The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce. (a)...
A water skier skis over the ramp shown in the figure at a speed of 30ft/s. How fast is she rising as she leaves the ramp? 4 ft 15 ft
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use...
The DeBourgh Manufacturing Company was founded in 1909 as a metal-fabricating company in Minnesota by the four Berg brothers. In the 1980s, the company ran into hard times, as did the rest of the...
Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed...
A furniture store claims that at least 60% of its new customers will return to buy their next piece of furniture. Describe type I and type II errors for a hypothesis test of the indicated claim.
The computer output on the next page is for a product mix problem in which there are two products and three resource constraints. Use the output to help you answer the following questions. Assume...
The U. S. Census Bureau compiles data on family income and summarizes its findings in Current Population Reports. The table below is a frequency distribution of the annual incomes for a random sample...
The following table gives the frequency distribution of the number of errors committed by a college baseball team in all of the 45 games that it played during the 201112 season. Number of Errors...
An attendant at a car wash is paid according to the number of cars that pass through. Suppose the probabilities are 1/12, 1/12, 1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7,...
Students of the author collected data measuring the accuracy of wristwatches. The times (sec) below show the discrepancy between the real time and the time indicated on the wristwatch. Negative...
The time spent (in days) waiting for a kidney transplant for people ages 3549 can be approximated by a normal distribution, as shown in the figure. (a) What waiting time represents the 80th...
1. Cartier does not make cheap watches. 2. Arizona has a national park but Nebraska does not. 3. Either Stanford or Tulane has an architecture school. 4. Both Harvard and Baylor have medical schools....
According to ightstats.com, American Airlines ights from Dallas to Chicago are on time 80% of the time. Suppose 15 ights are randomly selected, and the number of on-time ights is recorded. (a)...
Repeat the preceding problem when the seating is random but subject to the constraint that the men and women alternate. Preceding problem A total of 2n people, consisting of n married couples, are...
A multiple choice test contains 25 questions, each with four answers. Assume a student just guesses on each question. (a) What is the probability that the student answers more than 20 questions...
An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackboard about the students enrolled in her class and computes the average...
Newborn elephant calves usually weigh between 200 and 250 poundsuntil October 2006, that is. An Asian elephant at the Houston (Texas) Zoo gave birth to a male calf weighing in at a whopping 384...
Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a...
Telecommunications companies providing cell phone service are interested in customer retention. In particular, identifying customers who are about to churn (cancel their service) is potentially worth...
A clothing manufacturer wants to study mens neck sizes to plan how many shirts of different sizes to produce (shirt sizes are generally one-half inch larger than measured neck sizes and rounded to...
The City of Berrysville intends to purchase a new computer system. After extensive search and comparison, the committee responsible for selecting the new system has narrowed the alternatives to two:...
For the linear program Min6A + 4B s.t. 2A + 1B 12 1A + 1B 10 1B 4 A, B 0 a. Write the problem in standard form. b. Solve the problem using the graphical solution procedure. c. What are the values...
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular, sustained physical activity. What sample size should be obtained if she wishes...
A carbon monoxide detector in the Wheelock household activates once every 200 days on average. Assume this activation follows the exponential distribution. What is the probability that: a. There will...
A 2013 Sage North America survey examined the financial literacy of small business owners. The study found that 23% of small business owners indicated concern about income tax compliance for their...
The global survey we learned about in Exercise 49 also asked respondents how they felt about the statement "I try to avoid eating fast foods." The random sample of 800 included 411 people 35 years...
In Prob. 17.12 we used transformations to linearize and fit the following model : y = 4 xe 4 x Use nonlinear regression to estimate 4 and 4 based on the following data. Develop a Plot of your fit...
A local hotel offers ballroom dancing on Friday nights. A researcher observes the customers and estimates their ages. Discuss the skewness of the distribution of ages if the mean age is 51, the...
A Wendys manager performed a study to determine a probability distribution for the number of people, X, waiting in line during lunch. The results were as follows: x .... P(x) 0 .... 0.011 1 .......
Fred Jonasson manages a family-owned farm. To supplement several food products grown on the farm, Fred also raises pigs for market. He now wishes to determine the quantities of the available types of...
Coffee is being poured into the mug shown in the figure at a constant rate (measured in volume per unit time). Sketch a rough graph of the depth of the coffee in the mug as a function of time....
A stock market investor has $500 to spend and is considering purchasing an option contract on 1,000 shares of Apricot Computer. The shares themselves are currently selling for $28.50 per share....
A small business analyst seeks to determine which variables should be used to predict small business mean annual revenue for U. S. metropolitan areas. The analyst decides to consider the independent...
We investigate if a period of time feels longer or shorter when people are bored compared to when they are not bored. Using independent samples, we obtain these estimates of the time period (in...
An important quality characteristic of water is the concentration of suspended solid material. Following are 60 measurements on suspended solids from a certain lake. Construct a stem-and-leaf diagram...
An article in Nuclear Engineering International (February 1988, p. 33) describes several characteristics of fuel rods used in a reactor owned by an electric utility in Norway. Measurements on the...
In a random sample of 361 owners of small businesses that had gone into bankruptcy, 105 reported conducting no marketing studies prior to opening the business. Test the hypothesis that at most 25% of...
The data shown in Table 10E.9 are concentration readings from a chemical process, made every 30 minutes (read down, then across from left to right). (a) Calculate the sample autocorrelation function...
The level of a particular pollutant, nitrogen oxide, in the exhaust of a hypothetical model of car, the Polluter, when driven in city traffic has approximately a normal distribution with a mean level...
The weight of adobe bricks for construction is normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a...
Three people toss a fair coin and the odd man pays for coffee. If the coins all turn up the same, they are tossed again. Find the probability that fewer than 4 tosses are needed.
Consider the following mixed-integer linear program: Max 1x1 + 1x2 s.t. 7x1 + 9x2 63 9x1 + 5x2 45 3x1 + 1x2 12 x1, x2 0 and x2 integer a. Graph the constraints for this problem. Indicate on your...
The administrator of a new paralegal program at Seagate Technical College wants to estimate the grade point average in the new program. He thought that high school GPA, the verbal score on the...
Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 4 ml. a....
203 students signed up for the Stats course in Exercise 39. They used the software suggested by the salesman, and scored an average of 108 points on the final with a standard deviation of 8.7 points....
Midtown Bank always has two tellers on duty. Customers arrive to receive service from a teller at a mean rate of 40 per hour. A teller requires an average of 2 minutes to serve a customer. When both...
At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be...
(a) The curve with equation y2 = x3 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, 2). (b) At what points does this curve have a...
For the customers in Exercise, In exercise At a major credit card bank, the percentages of people who historically apply for the Silver, Gold, and Platinum cards are 60%, 30%, and 10%, respectively....
A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. Stores benefit by gleaning...
The data shown in Table 3E.2 are chemical process yield readings on successive days (read down, then across). Construct a histogram for these data. Comment on the shape of the histogram. Does it...
The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150...
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of...
David, LaDeana, and Lydia are the sole partners and workers in a company which produces fine clocks. David and LaDeana each are available to work a maximum of 40 hours per week at the company, while...
Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household (USA today, November 11, 2009). Use a normal probability distribution...
The Cold Spring High School student government polled randomly selected seniors and asked them how much money they spent on gas in the last week. The following stem-and-leaf plot shows the data they...
List the advantages and disadvantages of solving integer programming problems by (a) Rounding off (b) Enumeration.
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was .78. At the...
The probability that a randomly selected patient who visits the emergency room (ER) will die within 1 year of the visit is 0.05. (a) What is the probability that exactly 1 of 10 randomly selected...
A random sample of 1003 adult Americans was asked,Do you pretty much think televisions are a necessity or a luxury you could do without?Of the 1003 adults surveyed,521 indicated that televisions are...
Eastman Publishing Company is considering publishing an electronic textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and Web site...
The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power quality are "sags" and "swells." A sag is an unusual dip and a swell is an unusual increase in...
The following table lists the history of 940 orders for features in an entry-level computer product. Extra memory No Yes Optional high- no 514 68 Speed processor yes 112 246 Let A be the event that...
Womens height is a suspected factor for difficult deliveries, that is, shorter women are more likely to have Caesarean sections. A medical researcher found in a sample of 45 women who had a normal...
Travel + Leisure magazine presented its annual list of the 500 best hotels in the world (Travel + Leisure, January 2009). The magazine provides a rating for each hotel along with a brief description...
How do the average credit scores of people living in different American cities differ? The data in Credit Scores is an ordered array of the average credit scores of 143 American cities. ( Data...
(a) One way of defining sec-1 x is to say that y = sec-1x sec y = x and 0 < y < /2 or < y < 3/2. Show that, with this definition, d/dx (sec-1 x) = 1 / xx2 1 (b) Another way of defining sec-1 that is...
Ocala Software Systems operates a technical support center for its software customers. If customers have installation or use problems with Ocala software products, they may telephone the technical...
According to Crown ATM Network, the mean ATM withdrawal is $67. Assume that the standard deviation for withdrawals is $35. (a) Do you think the variable ATM withdrawal is normally distributed? If...
As the manager of credit card services at Bank of Hanover (BOH), you're aware that the average profitability of a credit card customer grows with the number of years they have used the credit card....
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.3 seconds. A manager devises a new drive-through system...
A photocopy machine company produces three types of laser printersthe Print Jet, the Print Desk, and the Print Prothe sale of which earn profits of $60, $90, and $73, respectively. The Print Jet...
For each scenario, determine the sampling method used by the managers from Exercise 2. a) Use the company e-mail directory to contact 150 employees from among those employed for less than 5 years,...
In a study of the production function of the United Kingdom bricks, pottery, glass, and cement industry for the period 1961 to 1981, R. Leighton Thomas obtained the following results: 1. log Q = -...
According to the National Constitution Center, 18% of Americans trust organized religion. (a) If an American is randomly selected, what is the probability he or she trusts organized religion? (b) If...
A tennis enthusiast wants to estimate the mean length of mens singles matches held during the Wimbledon tennis tournament. From the Wimbledon history archives, he randomly selects 40 matches played...
A realtor in Arlington, Massachusetts, is analyzing the relationship between the sale price of a home (Price), its square footage (Sqft), the number of bedrooms (Beds), and the number of bathrooms...
A particle moves on a circle through points that have been marked 0, 1, 2, 3, 4 (in a clockwise order). The particle starts at point 0. At each step it has probability 0.5 of moving one point...
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to non-recoverable failure. A test...
Clint Hanks has decided to try a new diet that promises enhanced muscle tone if the daily intake of five essential nutrients is tightly controlled. After extensive research, Clint has determined that...
A tank full of water has the shape of a paraboloid of revolution as shown in the figure; that is, its shape is obtained by rotating a parabola about a vertical axis. (a) If its height is 4 ft and the...
Management Decision Systems (MDS) is a consulting company that specializes in the development of decision support systems. MDS obtained a contract to develop a computer system to assist the...
Accountants at the firm Walker and Walker believed that several traveling executives submit unusually high travel vouchers when they return from business trips. The accountants took a sample of 200...
Excel was used to analyze the number of employees for the top 60 employers with headquarters around the world outside of the United States. The data was compiled by myglobalcareer.com, extracted from...
An investigator has reported the data tabulated below for an experiment to determine the growth rate of bacteria k (per d), as a function of oxygen concentration c (mg/L). It is known that such data...
For the linear program Max3A + 2B s.t. A + B 4 3A + 4B 24 A 2 A B 0 A, B 0 a. Write the problem in standard form. b. Solve the problem. c. What are the values of the slack and surplus variables...
A European department store is developing a new advertising campaign for their new U.S. location, and their marketing managers need to understand their target market better. A survey of adult...
Analysis showed that the mean arrival rate for vehicles at a certain Shell station on Friday afternoon last year was 4.5 vehicles per minute. How large a sample would be needed to estimate this...
The article "The Foreman's View of Quality Control" (Quality Engr., 1990: 257-280) described an investigation into the coating weights for large pipes resulting from a galvanized coating process....