A cross-section of a parabolic reflector is shown in the figure. The bulb is located at the focus and the opening at the focus is 10 cm. (a) Find an equation of the parabola. (b) Find the diameter of...
Compute the velocity of a free-falling parachutist using Eulers method for the case where m = 80 kg and c = 10 kg/s. Per-form the calculation from t = 0 to 20 s with a step size of 1 s. Use an...
1. If the 95% confidence interval for the number of moviegoers who purchase from the concession stand is 30% to 45%, then fewer than half of all moviegoers do not purchase from the concession stand....
News coverage during a recent election projected that a certain candidate would receive 54.8% of all votes cast; the projection had a margin of error of {3% a. Give a point estimate for the...
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...
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...
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...
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...
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...
Colonel Electric is a large company that produces lightbulbs and other electrical products. One particular lightbulb is supposed to have an average life of about 1,000 hours before it burns out....
Although controversial and the subject of some recent law suits (e.g., Satchell et al. vs. FedEx Express), some human resource departments administer standard IQ tests to all employees. The...
The article Determination of Most Representative Subdivision (Journal of Energy Engineering [1993]: 43 55) gave data on various characteristics of subdivisions that could be used in deciding whether...
Alabama Atlantic is a lumber company that has three sources of wood and five markets to be supplied. The annual availability of wood at sources 1, 2, and 3 is 15, 20, and 15 million board feet,...
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200...
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....
The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats. Find the (a)...
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...
A survey of 36 randomly selected iPhone owners showed that the purchase price has a mean of $416 with a sample standard deviation of $180. a. Compute the standard error of the sample mean. b. Compute...
The proportion of adult women in the United States is approximately 51%. A marketing survey telephones 400 people at random. a) What proportion of the sample of 400 would you expect to be women? b)...
Suppose that Westside Auto of Problem 4, with D = 12,000 units per year, Ch = (2.50)(0.20) = $0.50, and Co = $25, decided to operate with a backorder inventory policy. Backorder costs are estimated...
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...
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...
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...
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...
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...
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...
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...
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...
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...
The following data represent political party by age from a random sample of registered Iowa Voters. (a) Are the events Republican and 30-44 independent? Justify your answer. (b) Are the events...
An adjustable rate mortgage allows the rate of interest to fluctuate over the term of the loan, depending on economic conditions. A fixed rate mortgage holds the rate of interest constant. Which...
Dillard Travey receives 5,000 tripods annually from Quality Suppliers to meet his annual demand. Dillard runs a large photographic outlet, and the tripods are used primarily with 35-mm cameras. The...
1. Develop a schedule for hiring new employees. What is the total cost of this schedule? 2. Discuss any limitations that exist for this solution. 3. How would the schedule change if the attrition...
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...
The technical support desk at a college has set up a special service for tablets. A survey shows that 54% of tablets on campus run Apples iOS, 43% run Googles Android OS, and 3% run Microsofts...
A fault-tolerant system that processes transactions for a financial services firm uses three separate computers. If the operating computer fails, one of the two spares can be immediately switched...
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....
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....
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...
From the paper Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis (Aquaculture, Vol. 242, No. 14, pp. 357363) by S. Siikavuopio et al., we found...
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 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...
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...
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...
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 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...
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...
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...
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...
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...
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...
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...
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...
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...
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) 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,...
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...
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...
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....
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...
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...
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,...
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...
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 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...
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...
Determine the highest real root of (x) = 0.95x3 5.9x2 + 10.9x - 6: (a) Graphically. (b) Using the Newton-Raphson method (three iterations, xi = 3.5). (c) Using the secant method (three iterations,...
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 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...
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%...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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....
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 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...
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...
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...
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...
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...
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 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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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...