In Canada, criminals are entitled to parole after serving only one-third of their sentence. Virtually all prisoners, with several exceptions including murderers, are released after serving two-thirds...
Annual expenditure for prescription drugs was $838 per person in the Northeast region of the country (Hospital Care Cost Institute website, November 7, 2012). A sample of 60 individuals in the...
Suppose that in Problem 9.14, the standard deviation is 1,200 hours. a. Repeat (a) through (d) of Problem 9.14, assuming a standard deviation of 1,200 hours. Data From Problem 9.14: The...
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is...
In January 2008, Northern Airlines merged with Southeast Airlines to create the fourth largest U.S. carrier. The new North-South Airline inherited both an aging fleet of Boeing 727-300 aircraft and...
The president of a small manufacturing firm is concerned about the continual increase in manufacturing costs over the past several years. The following figures provide a time series of the cost per...
A corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term...
Four hundred automobiles are to be inspected for California emissions compliance. Of these, 320 actually are compliant but 80 are not. A random sample of 6 cars is chosen. (a) Justify the use of the...
The marketing research organization GfK Roper conducts a yearly survey on consumer attitudes worldwide. They collect demographic information on the roughly 1500 respondents from each country that...
(a) Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x,...
The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 15 different brands of 1-ounce chocolate chip cookies resulted in the following calorie amounts. At the = 0.01...
One way to sparsify a proximity matrix is the following: For each object (row in the matrix), set all entries to 0 except for those corresponding to the objects k-nearest neighbors. However, the...
Given the linear program Max 3A + 4B s.t -1A + 2B 8 1A + 2B 12 2A + 1B 16 A, B 0 a. Write the problem in standard form. b. Solve the problem using the graphical solution procedure. c. What are...
Data Set 16 in Appendix B lists the depths (km) of a sample of 50 earthquakes. Those 50 depths have a mean of 9.808kmanda standard deviation of 5.013 km. Construct a 98% confidence interval estimate...
The table below shows the percent of the labor force that is unemployed and the size of the labor force for three counties in northwest Ohio. Jon Elsas is the Regional Director of Economic...
The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the effects of warming and ice melt were affecting the water level. Fifty-five measurements over a period...
The 2008 General Social Survey asked, What do you think is the ideal number of children for a family to have? The 678 females who responded had a median of 2, mean of 3.22, and standard deviation of...
A Wall Street Journal subscriber survey asked 46 questions about subscriber characteristics and interests. State whether each of the following questions provides categorical or quantitative data. a....
A consumer advocacy group is concerned about the variability in the cost of prescription medication. The group surveys eight local pharmacies and obtains the following prices for a particular brand...
Fit a second-order Newtons interpolating polynomial to estimate log 10 using the data from Prob. 18.1 at x = 8, 9, and 11. Compute the true percent relative error.
A study of Kickstarter projects showed that 54.2% were successful, that is, achieved its goal and raised at least the targeted goal amount. In an effort to identify network dynamics that influences...
For the week ended January 15, 2009, the bullish sentiment of individual investors was 27.6% (AAII Journal, February 2009). The bullish sentiment was reported to be 48.7% one week earlier and 39.7%...
Consider the hypothetical population below (this population is also used in Example 2.2). Consider the stratification below, with N1 = N2 = 4. The population is: Consider the stratified sampling...
The Boston Marathon is the oldest and best-known U.S. marathon. It covers a route from Hopkinton, Massachusetts, to downtown Boston. The distance is approximately 26 miles. Visit the Brase/Brase...
A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation does it take until you feel truly relaxed (USA today, August 24, 2011). The responses were as...
Whiting, Indiana, leads the Top 100 Cities with the Oldest Houses list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age...
According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $500 per week. A representative of a womens group decides to analyze whether the...
The LSAT (a test taken for law school admission) has a mean score of 151 with a standard deviation of 9 and a unimodal, symmetric distribution of scores. A test preparation organization teaches small...
La Jolla Beverage Products is considering producing a wine cooler that would be a blend of a white wine, a ros wine, and fruit juice. To meet taste specifications, the wine cooler must consist of at...
In Problem 12.9 on page 424, an agent for a real estate company wanted to predict the monthly rent for one bedroom apartments, based on the size of the apartments. Perform a residual analysis for...
A new president at Big State University has made student satisfaction with the enrollment and registration process one of her highest priorities. Students must see an advisor, sign up for classes,...
The Consolidated Edison Company sells electricity (82% of revenues), gas (13%), and steam (5 %) in New York City and Westchester County. Bart Thomas, company forecaster, is assigned the task of...
Use the data set 401KSUBS.RAW for this exercise. (i) Using OLS, estimate a linear probability model for e401k, using as explanatory variables inc, inc2, age, age2, and male. Obtain both the usual OLS...
For the linear program Max2A + 3B s.t. 1A + 3B 6 5A + 3B 15 A, B 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal...
Nine experts rated four brands of Colombian coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four...
Industrial Chemicals produces two adhesives used in the manufacturing process for airplanes. The two adhesives, which have different bonding strengths, require different amounts of production time:...
The club professional at a difficult public course boasts that his course is so tough that the average golfer loses a dozen or more golf balls during a round of golf. A dubious golfer sets out to...
Starbucks is a resounding restaurant success story. Beginning with its first coffee house in 1971, Starbucks has grown to more than 11,000 U.S. locations. Opening up its first international outlet in...
A company wants to estimate the proportion of people who are likely to purchase electric shavers from those who watch the nationally telecast baseball playoffs. A random sample obtained information...
Four factors are thought to possibly influence the taste of a soft-drink beverage: type of sweetener (A), ratio of syrup to water (B), carbonation level (C), and temperature (D). Each factor can be...
A machinist is required to manufacture a circular metal disk with area 1000 cm2. (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of 5 cm2 in the area of the...
In 1970, 11% of Americans completed four years of college; 43% of them were woman. In 1990, 22% of Americans completed four years of college; 53% of them were women (Time, Jan. 19, 1996). (a) Given...
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting....
The Audiofile Company produces boomboxes. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the...
Consider a sample comprised of firms that were targets of tender offers during the period 1978-1985. Conduct an analysis where the response variable represents the number of bids (Bids) received...
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...
PCWorld rated four component characteristics for 10 ultraportable laptop computers: features; performance; design; and price. Each characteristic was rated using a 0100 point scale. An overall...
A distributer of prewashed shredded lettuce is opening a new plant and considering whether to use a mechanized process or a manual process to prepare the product. The manual process will have a fixed...
The combined gas mileage of midsize cars varies with mean 24 miles per gallon (mpg) and a standard deviation of about 5.5 mpg. A particular rental car agency typically has 150 midsize cars in its...
A regression analysis relating the current market value in dollars to the size in square feet of homes in Greene County, Tennessee, follows. The regression equation is: Value 5 237,186 1 65.0 Size....
Cond Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37...
The data in Table 9E.3 are temperature readings from a chemical process in ï°C, taken every two minutes. (Read the observations down, from left.) The target value for the mean is...
Refer to the scenario described in Problem 10 and the file BlueOrRed. Partition the data into training (50 percent), validation (30 percent), and test (20 percent) sets. Use logistic regression to...
An important application of sensitivity analysis occurs in problems involving multiple attributes. Many decision makers experience difficulty in assessing trade-off weights. A sensitivity analysis of...
Consider the problem Maximize z = 2x1 + 4x2 + 4x3 - 3x4 Subject to X1 + x2 + x3 = 4 X1 + 4x2 + x4 = 8 X1, x2, x3, x4 0 The problem shows that x3 and x4 can play the role of slacks for the two...
In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the other end. It is believed that bees form their cells in such a way as to minimize the surface area...
John, Roberto, Clarice, Dominique, and Marco work for a publishing company. The company wants to send two employees to a statistics conference in Orlando. To be fair, the company decides that the two...
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...
A technician monitors a group of five computers that run an automated manufacturing facility. It takes an average of 15 minutes (exponentially distributed) to adjust a computer that develops a...
Outdoors Inn (see Problem 7-41) expanded its tent-making operations later in the year. While still making the Double Inn tent, it is also making a larger tent, the Family Rolls, which has four rooms....
A municipal bus company has started operations in a new subdivision. Records were kept on the numbers of riders on one bus route during the early-morning weekday service. The accompanying table shows...
According to a Wakefield Research survey of adult women, 50% of the women said that they had tried five or more diets in their lifetime (USA TODAY, June 21, 2011). Suppose that this result is true...
Floyd's Bumpers has distribution centers in Lafayette, Indiana: Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all...
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...
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...
A reactor is thermally stratified as in the following table: As depicted in Figure, the tank can be idealized as two zones separated by a strong temperature gradient or thermocline. The depth of this...
Recall that the level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for each of 992 senior managers at CPA firms. The...
Premiums for the Sun-Belt Insurance Company are given in the table. Find the annual premiums for $250,000 of the following Sun- Belt life insurance policies. a. A 10-year life insurance policy...
The U.S. bureau of labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether...
Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances. a. Tally the data into a frequency distribution using $100 as a class interval and...
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001...
Allie White, the chief loan officer for the Dominion Bank, would like to analyze the bank's loan portfolio for the years 2001 to 2006. The data are shown in Table P-17. a. Compute the...
A machine is used to produce two interchangeable products. The daily capacity of the machine can produce at most 20 units of product 1 and 10 units of product 2. Alternatively, the machine can be...
In a KRC Research poll, 1002 adults were asked if they felt vulnerable to identify theft, and 531 of them said yes. Use a 0.05 significance level to test the claim that the majority of adults feel...
In Problem 3-37, you helped the medical professionals analyze their decision using expected monetary value as the decision criterion. This group has also assessed their utility for money: U($ 45,000)...
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...
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.
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 ,...
Use the data in CPS78_85.RAW for this exercise. (i) How do you interpret the coefficient on y85 in equation (13.2)? Does it have an interesting interpretation? (Be careful here; you must account for...
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...
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...
Two different box-filling machines are used to fill cereal boxes on the assembly line. The critical measurement influenced by these machines is the weight of the product in the machines. Engineers...
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample...
Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and the results are shown in the following tabulation. Is...
The box plot shows the undergraduate in-state charge per credit hour at four-year public colleges. a. Estimate the median. b. Estimate the first and third quartiles. c. Determine the interquartile...
a. Answer (a) through (c) from Exercise 11.1 using the results in column (3). b. Sketch the predicted probabilities from the probit and linear probability in columns (1) and (3) as a function of...
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...
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...
1. Renowned economist Harold Carlson makes the following prediction: "The balance of payments will decrease if and only if interest rates remain steady; however, it is not the case that either...
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...
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...
Identify the feasible region for the following set of constraints: 2A - 1B 0 -1A + 1.5B 200 A, B 0
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...
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...
A museum offers several levels of membership, as shown in the table. a) Find the mean and standard deviation of the donations. b) During their annual membership drive, they hope to sign up 50 new...
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....
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 =...
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...
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...
A general property of the EOQ inventory model is that total inventory holding and total ordering costs are equal at the optimal solution. Use the data in Problem 1 to show that this result is true....