Suppose 150 shoppers at an upscale mall are interviewed and one of the questions asked is the household income. Study the Minitab histogram of the following data and discuss what can be learned about...
A corporation produces mini-widgets. The variable expenses are $1.24 per mini-widget, and the fixed expenses are $142,900. a. How much does it cost to produce 1 mini-widget? b. How much does it cost...
The accompanying graph shows the distribution of data on whether houses in a large neighborhood have a garage. (A 1 indicates the house has a garage, and a 0 indicates it does not have a garage.) Is...
A researcher wishes to see if the average length of the major rivers in the United States is the same as the average length of the major rivers in Europe. The data (in miles) of a sample of rivers...
A process engineer is trying to improve the life of a cutting tool. He has run a 23 experiment using cutting speed (A), metal hardness (B), and cutting angle (C) as the factors. The data from two...
A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. The graph shows how the temperature of the turkey...
There are four radio stations in Midland. The stations have different formats (hard rock, classical, country/western, and easy listening), but each is concerned with the number of minutes of music...
General Hospitals patient account division has compiled data on the age of accounts receivable. The data collected indicate that the age of the accounts follows a normal distribution with = 28 days...
The Porsche Shop, founded in 1985 by Dale Jensen, specializes in the restoration of vintage Porsche automobiles. One of Jensens regular customers asked him to prepare an estimate for the restoration...
Consumers spent an average of $15.30 on a meal at a restaurant in 2014. (Data extracted from bit.ly/1KVWWxT) Assume that the amount spent on a restaurant meal is normally distributed and that the...
The amounts of a chemical compound y, which dissolved in 100 grams of water at various temperatures, .r, were recorded as follows:(a) Find the equation of the regression line.(b) Graph the line on a...
Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this...
Triangle Utilities provides electricity for three cities. The company has four electric generators that are used to provide electricity. The main generator operates 24 hours per day, with an...
Foot Locker uses sales per square foot as a measure of store productivity. Sales are currently running at an annual rate of $406 per square foot (The Wall Street Journal, March 7, 2012). You have...
An increase in the size of the barge unloading crew at the Port of New Orleans (see Section 14.5) has resulted in a new probability distribution for daily unloading rates. In particular, Table 14.10...
In Gallups Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was, How many cups of coffee, if any, do you...
A credit card company takes a random sample of 100 cardholders to see how much they charged on their card last month. Here's a histogram. A computer program found that the resulting 95% confidence...
Criticize the following definitions in light of the eight rules for lexical definitions: 1. A sculpture is a three-dimensional image made of marble. 2. Elusory means elusive. 3. Birdie means sinking...
The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor...
The Northshore Bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank including adequate customer...
Use Appendix B.5 to locate the value of t under the following conditions. a. The sample size is 12 and the level of confidence is 95%. b. The sample size is 20 and the level of confidence is 90%. c....
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during...
Fill in the missing balances in Raymond Marshall's check register. Use the spreadsheet from www.cengage.com/school/math/financial algebra to determine if Raymond's checking account reconciles with...
Sid Davidson is the personnel director of Babson and Willcount, a company that specializes in consulting and research. One of the training programs that Sid is considering for the middle-level...
Recall from Exercise 8.12 that Bayus (1991) studied the mean numbers of auto dealers visited by early and late replacement buyers. (1) Letting be the mean number of dealers visited by all late...
According to the Bottled Water Trends for 2014 report (bit.ly/1gx5ub8), the U. S. per capita consumption of bottled water in 2013 was 31.8 gallons. Assume that the per capita consumption of bottled...
A study was performed on wear of a bearing y and its relationship to x1 = oil viscosity and x2 = load. The following data were obtained. (a) Fit a multiple linear regression model to these data. (b)...
The Orange Top Cab company has a taxi waiting at each of four cab stands in Evanston, Illinois. Four Customers have called and requested service. The distances, in miles, from the waiting taxis to...
A survey of 1,700 shoppers asked, "Does social media influence your purchase decisions?" The results indicated that 20.3% of females responded that their purchase decisions are influenced by social...
According to Archimedes principle, the buoyancy force is equal to the weight of fl uid displaced by the submerged portion of an object. For the sphere depicted in Fig. P5.19, use bisection to...
During the 1999 and 2000 baseball seasons, there was much speculation that the unusually large number of home runs that were hit was due at least in part to a livelier ball. One way to test the...
In the Willow Brook National Bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per...
The managing partner of the Scott Corey accounting firm has decided that the system must be up and running in 16 weeks. Consequently, information about crashing the project was put together and is...
In Problems 5-17 and 5-18, three different fore-casts were developed for the demand for fertilizer. These three forecasts are a 3-year moving average, a weighted moving average, and a trend line....
The average price for a gallon of gasoline is $3.73 in the United States and $3.40 in Russia (Bloomberg Business week, March 5March 11, 2012). Assume these averages are the population means in the...
Mike is a veterinarian. He is placing a 9-line classified ad for an assistant. The following piecewise function gives the price of an x-line ad. a. Find the difference between the cost of a 2-line ad...
(a) The figure shows a telephone wire hanging between two poles at x = b and x = b. It takes the shape of a catenary's with equation y = c + a cosh (x/a). Find the length of the wire. (b) Suppose two...
Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activities. What is the probability that a randomly selected American either enjoys cooking or...
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample...
Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by Harris Interactive on behalf of the American Psychological Association revealed the...
Consider the PortaCom project discussed in Section 16.1. a. An engineer on the product development team believes that first-year sales for the new printer will be 20,000 units. Using estimates of $45...
The following is a list of 29 hospitals in the Cincinnati (Ohio) and Northern Kentucky region. The hospitals are identified by numbering them 00 through 28. Also included is whether the hospital is a...
A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program....
The following data are the measures of the diameters of 36 rivet heads in 1/100 of an inch.(a) Compute the sample mean and sample standard deviation.(b) Construct a relative frequency histogram of...
According to USA Today (March 18, 1997), of 4 million workers in the general workforce, 0.8% tested positive for drugs. Of those testing positive, 22.5% were cocaine users and 54.4% marijuana users....
The net weight (in oz) of a dry bleach product is to be monitored by x and R control charts using a sample size of n = 5. Data for 20 preliminary samples are shown in Table 6E.7. (b) Estimate the...
Ross White (see Problem 6-25) wants to reconsider his decision of buying the brackets and is considering making the brackets in-house. He has determined that setup costs would be $25 in machinist...
A maker of a certain brand of low-fat cereal bars claims that their average saturated fat content is 0.5 gram. In a random sample of 8 cereal bars of this brand the saturated fat content was 0.6....
Jacob opens a savings account in a non-leap year on August 10 with a $4,550 deposit. The account pays 4% interest, compounded daily. On August 11 he deposits $300, and on August 12 he withdraws $900....
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 5% chance...
Bob's exam score was 2.17 standard deviations above the mean. The exam was taken by 200 students. Assuming a normal distribution, how many scores were higher than Bob's?
Management of Sundown Rent-a-Car has decided that perhaps the cost during the six-month period is not the appropriate cost to minimize because the agency may still be obligated to additional months...
Refer again to the Lake City Regional Airport described in Problem 18. When the security level is raised to high, the service rate for processing passengers is reduced to 2 passengers per minute at...
The data in Table 9E.1 represent individual observations on molecular weight taken hourly from a chemical process. The target value of molecular weight is 1,050 and the process standard deviation is...
In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. (a) Find the...
Kathy Roniger, campus dietitian for a small Idaho college, is responsible for formulating a nutritious meal plan for students. For an evening meal, she feels that the following five meal-content...
A company that operates 10 hours a day manufactures three products on three sequential processes. The following table summarizes the data of the problem: (a) Determine the optimal product mix. (b)...
A sweatshirt supplier is trying to decide how many sweatshirts to print for the upcoming NCAA basketball championships. The final four teams have emerged from the quarterfinal round, and there is now...
It has been found that 50.3% of U.S. households own stocks and mutual funds. A random sample of 300 heads of households indicated that 171 owned some type of stock. At what level of significance...
Claim: three-fourths of all adults believe that it is important to be involved in their communities. Based on a USA Today/Gallup poll of 1021 randomly selected adults, 89% believe that it is...
The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. During that time, Karen sought to...
Eastman Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and production setup is...
The number of victories (W), earned run average (ERA), runs scored (R), batting average (AVG), and on- base percentage (OBP) for each team in the American League in the 2012 season are provided in...
Explain why the following hypotheses are not constructed correctly. a. H0: 10; HA: 10 b. H0: 500; HA: = 500 c. H0 : p 0.40; HA: p > 0.42 d. H0 : 128; HA: > 128
The quarterly sales data (number of copies sold) for a college textbook over the past three years follow: a. Construct a time series plot. What type of pattern exists in the data? b. Use a regression...
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two non-work-related e-mails per hour. Assume the arrival of these...
The average high school teacher annual salary is $43,000 (Payscale.com, August 20, 2010). Let teacher salary be normally distributed with a standard deviation of $18,000. a. What percentage of high...
The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is...
Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals...
For each initial approximation, determine graphically what happens if Newtons method is used for the function whose graph is shown. (a) x1 = 0 (b) x1 = 1 (c) x1 = 3 (d) x1 = 4 (a) x1 = 5 3.
The divide and average? method, an old-time method for approximating the square root of any positive number ? can be formulated as x = x + a/x / 2. (a) Write well-structured pseudosode to implement...
Shown is the graph of the population function P(t) for yeast cells in a laboratory culture. Use the method of Example 1 to graph the derivative P'(t). What does the graph of P' tell us about the...
Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of error of 0.006 gram." What important and relevant piece of information...
Stephanie Robbins is the Three Hills Power Company management analyst assigned to simulate maintenance costs. In Section 14.6 we describe the simulation of 15 generator breakdowns and the repair...
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability...
You and several friends are about to prepare a lasagna dinner. The tasks to be performed, their immediate predecessors, and their estimated durations are as follows: *There is none in the...
A professor wishes to develop a numerical method for giving grades. He intends to base the grade on homework, two midterms, a project, and a final examination. He wishes the final exam to have the...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: a. Use graphical sensitivity analysis to determine the range of...
The following data are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21,000 psi, 18 cycles per second: (a) Construct a stem-and-leaf display...
Nation-Wide Bus Lines is proud of its six-week bus drivertraining program that it conducts for all new Nation-Wide drivers. As long as the class size remains less than or equal to 35, a six-week...
A recent CBS News survey reported that 67% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 15 adults. a. How many of the 15 would we expect to indicate...
This contingency table describes 200 business students. Find each probability and interpret it in words. a. P(A) b. P(M) c. P(A M ) d. P(F S) e. P(A | M ) f. P(A | F) g. P(F | S) h. P(E F) Major...
A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies...
Premier Consultings two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some...
The Clark County Sheriffs Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 A.M., noon, 4:00 P.M., 8:00 P.M., midnight, and 4:00 A.M. An officer...
The Statewide Auto Insurance Company developed the following probability distribution for automobile collision claims paid during the past year: Payment ($) Probability 0 ............ 0.83 500...
The KLM Christmas Tree Farm owns a plot of land with 5000 evergreen trees. Each year KLM allows retailers of Christmas trees to select and cut trees for sale to individual customers. KLM protects...
The Whitt Window Company, a company with only three employees, makes two different kinds of hand-crafted windows: a wood-framed and an aluminum-framed window. The company earns $300 profit for each...
Use the data in WAGE2.RAW for this exercise. (i) Consider the standard wage equation log(wage) = (0 + (1educ + (2exper + (3 tenure + u. State the null hypothesis that another year of general...
Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the...
In the past, Judy Holmes's tire dealership sold an average of 1,000 radials each year. In the past two years, 200 and 250, respectively, were sold in fall, 350 and 300 in winter, 150 and 165 in...
A contractor has concluded from his experience that the cost of building a luxury home is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000. a. What...
Topten is a leading source on energy-efficient products. Their list of the top seven vehicles in terms of fuel efficiency for 2014 includes three Hondas. a. Determine the probability distribution for...
The sales manager for a publisher of college textbooks has six traveling salespeople to assign to three different regions of the country. She has decided that each region should be assigned at least...
The operations manager of a musical instrument distributor feels that demand for bass drums may be related to the number of television appearances by the popular rock group Green Shades during the...
A store manager hypothesizes that the average number of pages a person copies on the stores copy machine is less than 40. A sample of 50 customers orders is selected. At = 0.01, is there enough...
The table shows the movement of Walt Disney stock for 30 randomly selected trading days. "Up" means the stock price increased in value for the day, "Down" means the stock price decreased in value for...
The number of calls arriving at a switchboard from noon to 1 PM during the business days Monday through Friday is monitored for six weeks (i.e., 30 days). Let X be defined as the number of calls...
The American Automobile Association (AAA) reported that families planning to travel over the Labor Day weekend would spend an average of $749 (The Associated Press, August 12, 2012). Assume that the...
A mass balance for a chemical in a completely mixed reactor can be written as Vdc/dt = F Qc kVc2 where V = volume (12 m3), c = concentration (g/m3), F = feed rate (175 g/min), Q = flow rate (1...