When the 636 male workers in the 2008 GSS were asked how many hours they worked in the previous week, the mean was 45.5 with a standard deviation of 15.16. Does this suggest that the population mean...
Reconstruct the following syllogistic forms and use the five rules for syllogisms to determine if they are valid from the Boolean standpoint, conditionally valid from the Aristotelian standpoint, or...
According to a report, college graduates in 2010 were likely to face better job prospects than 2009 graduates (New York Times, May 24, 2010). Many employers who might have been pessimistic at the...
A local company installs natural-gas grills. As part of the installation, a ditch is dug to lay a small natural-gas line from the grill to the main line. On the average, the depth of these lines...
Data Set 13 in Appendix B includes crash test measurements for small cars. The seven chest deceleration measurements have a mean of 42.7 g and a standard deviation of 5.6 g, where g is a force of...
Troys Tires sells a certain brand tire which has a daily demand that is normally distributed, with a mean of 15 tires and a standard deviation of 4 tires. (In your model use integers for all...
The book The Wall Street Journal. Guide to Information Graphics by Dona M. Wong gives strategies for using graphs and charts to display information effectively. One popular graph discussed is the...
An operating system for a personal computer has been studied extensively, and it is known that the standard deviation of the response time following a particular command is = 8 milliseconds. A new...
Martin Motors has in stock three cars of the same make and model. The Sales Manager would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different...
Refer to the Baseball 2012 data, which reports information on the 2012 Major League Baseball season. Let attendance be the dependent variable and total team salary, in millions of dollars, be the...
During 2002 in the state of Florida, a total of 365,474 drivers were involved in car accidents. The accompanying table breaks down this number by the age group of the driver and whether the driver...
Several years ago in a high-profile case, a defendant was acquitted in a double-murder trial but was subsequently found responsible for the deaths in a civil trial. (Guess the name of the...
The spotlight effect refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly...
In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls, business meals, and...
Refer to Example 4. Workers in three occupations were questioned about satisfaction with their jobs. Suppose the number of responses in each of the four categories are Assign 1 to very dissatisfied,...
The U.S. Census bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household...
A study conducted in September and October of 2010 found that fewer than half of employers who hired new college graduates last academic year plan to definitely do so again (The Wall Street Journal,...
Scott offers you the following game: You will roll two fair dice. If the sum of the two numbers obtained is 2, 3, 4, 9, 10, 11, or 12, Scott will pay you $20. However, if the sum of the two numbers...
A medical researcher found a significant relationship among a persons age x1, cholesterol level x2, sodium level of the blood x3, and systolic blood pressure y. The regression equation is y = 97.7 +...
The article Checks Halt over 200,000 Gun Sales (San Luis Obispo Tribune, June 5, 2000) reported that required background checks blocked 204,000 gun sales in 1999. The article also indicated that...
Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($250...
CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. (a) Use Excel or MegaStat to sort and standardize the data. (b) Based on the Empirical...
Five hundred employees were selected from a citys large private companies, and they were asked whether or not they have any retirement benefits provided by their companies. Based on this information,...
Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into...
The fire department in a large city is examining its promotion policy to assess if there is the potential for an age discrimination lawsuit. A random sample of 248 promotion decisions over the past 5...
Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect, to tensile strength of the product. A random sample of 4 seals from...
Explain what would happen if the smoothing constant in an exponential smoothing model was equal to zero. Explain what would happen if the smoothing constant was equal to one.
Manning Autos operates an automotive service counter. While completing the repair work, Manning mechanics arrive at the companys parts department counter, with an arrival rate of four per hour. The...
Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? b. List the sample points....
The Steelcase Workplace Index studied the types of work-related activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent...
The proportion of husbands taller than their wives is less than 0.9. Identify expressions that identify the type I error and the type II error that correspond to the given claim.
A random sample of 16 pharmacy customers showed the waiting times below (in minutes). Find a 90 percent confidence interval for, assuming that the sample is from a normal population. 21 17 2 21 16 8...
Referring to Exercise 9.43, find a 99% confidence interval for ? 1 ? ? 2 if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers,...
The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who dont. In fact, she claims that the...
A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. In a sheet 6 ft by 10 ft (72 in. by 120 in.) that will...
Feder and Dugan (2002) reported a study in which 404 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group)....
Consumer research firm Scarborough analyzed the 10% of American adults who are either Superbanked or Unbanked. Superbanked consumers are defined as U. S. adults who live in a household that has...
Let us return to the Texaco-Pennzoil example from Chapter 4 and think about Liedtkes risk attitude. Suppose that Liedtkes utility function is given by the utility function in Table 14.5. a. Graph...
The article "On Assessing the Accuracy of Offshore Wind Turbine Reliability Based Design Loads from the Environmental Contour Method" (Intl. J. of Offshore and Polar Engr., 2005: 132-140) proposes...
A study by Becker Associates, a San Diego travel consultant, found that 30% of the traveling public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine...
There are 20,000 eligible voters in York County, South Carolina. A random sample of 500 York County voters revealed 350 plan to vote to return Louella Miller to the state senate. Construct a 99%...
Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation. Treat the values as simple random samples from a larger population. Use a...
According to one source, 50% of plane crashes are due at least in part to pilot error (www.planecrash-info.com). Suppose that in a random sample of 100 separate air-plane accidents, 62 of them were...
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $845 and a standard...
The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns a....
Following maintenance and calibration, an extrusion machine produces aluminum tubing with a mean outside diameter of 2.500 inches, with a standard deviation of 0.027 inches. As the machine functions...
Let X represent a binomial random variable with n = 150 and p = 0.36. Find the following probabilities. a. P(X 50) b. P(X = 40) c. P(X > 60) d. P(X 55)
CarMD reports that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the...
The EPA city/hwy mpg range for a Saturn Vue FWD automatic 5-speed transmission is 20 to 28 mpg. (a) Estimate using Method 3 from Table 8.11. (b) If you owned this vehicle, how large a sample (e.g.,...
Foofy has a normal distribution of scores ranging from 2 to 9. (a) She computed the variance to be - .06. What should you conclude about this answer, and why? (b) She recomputes the standard...
With reference to Exercise 3.42 on page 90, In exercise If the values of the joint probability distribution of X and Y are as shown in the table Find (a) The marginal distribution of X; (b) The...
According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation after they have been with the company for 15 years. Find the probability...
The time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what is...
a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm. b. If 25 adult females are randomly selected, find the probability that they have a...
Burger King is one of the largest fast-food franchise operations in the world. Recently, the district manager for Burger King in Las Vegas conducted a study in which she selected a random sample of...
Find the probability that a random sample of 25 observations, from a normal population with variance a" = 6, will have a variance s (a) Greater than! I; (b) Between 3.462 and 10.745. Assume the...
Four automobiles have entered Bubba's Repair Shop for various types of work, ranging from a transmission overhaul to a brake job. The experience level of the mechanics is quite varied, and Bubba...
A survey investigated the publics attitude toward the federal deficit. Each sampled citizen was classified as to whether he or she felt the government should reduce the deficit or increase the...
Ten major college football bowl games were played in January 2010, with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The...
A financial manager made two new investmentsone in the oil industry and one in municipal bonds. After a one-year period, each of the investments will be classified as either successful or...
a. Find the number of classes that should be used to construct a frequency distribution and histogram for the bottle design ratings. b. If we round up to the nearest whole rating point, show that we...
A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two- candidate election, if a specific candidate receives at least 55% of...
The new director of a local YMCA has been told by his predecessors that the average member has belonged for 8.7 years. Examining a random sample of 15 membership files, he finds the mean length of...
The Gilbreth family drinks a case of Royal Cola every day, 365 days a year. Fortunately, a local distributor offers quantity discounts for large orders as shown in the table below, where the price...
If the probability is 0.20 that a certain bank will refuse a loan application, use the normal approximation to determine (to three decimals) the probability that the bank will refuse at most 40 of...
Another display technique that is somewhat similar to a histogram is a dotplot. In a dotplot, the data values are displayed along the horizontal axis. A dot is then plotted over each data value in...
How often does work intrude during off hours? A survey of 1,000 office workers indicated that 53% of males and 41% of females had office intrusions while on vacation. (Data extracted from "Office...
The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10,000 and 20,000, respectively. (a) Calculate the parameters...
The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly...
Study the following Excel regression output for an analysis attempting to predict the number of union members in the United States by the size of the labor force for selected years over a 30-year...
Five years after graduating from college, Lucia Li feels that she is finally ready to invest some of her earnings. She has eliminated her credit card debt and has established an emergency fund. Her...
Linda Barnes has learned from prior studies that one out of five applicants gets admitted to top MBA programs in the country. She wishes to construct her own 90% confidence interval for the...
Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies...
An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown,...
Suppose X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: (a) P(X = 1) (b) P(X =6) (c) P(X =4) (d) Determine the mean and variance of X.
Refer to the computer solution to Problem 14 in Figure THE MANAGEMENT SCIENTIST SOLUTION FOR THE DIGITAL CONTROLS, INC., PROBLEM a. Interpret the ranges of optimality for the objective function...
Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why?
The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large city served by...
In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. (Data extracted from beverage digest.com/pdf/top-10_2015.pdf.). Assume that the per capita...
How would the forecast for week 25 of the previous problem change if the initial forecast was 40 instead of 50? How would the forecast for week 25 change if the forecast for week 1 were assumed to be...
Residents of Hawaii have the longest life expectancies, averaging 81.48 years (www.worldlifeexpectancy.com, data retrieved June 4, 2012). A sociologist collects data on the age at death for 50...
Prairie Flower Cereal, Inc., is a small but growing producer of hot and ready-to-eat breakfast cereals. The company was started in 1910 by Gordon Thorson, a successful grain farmer. You have been...
You misplaced two of the scores in a sample, but you have the data indicated be-low. What should you guess the missing scores to be? Why? 7 12 13 14 14 13 13 12 11
An airline is preparing to replace its old planes with three new styles of jets. The airline needs 17 new planes to service its current routes. The decision regarding which planes to purchase should...
Deleting an observation a common strategy for handling a case in which an observation is missing data for one or more variables is to fill those missing variables with 0s and add a variable to the...
Determine the temperatures along a 1-m horizontal rod described by the heat conduction equation (Eq. 30.1). Assume that the right boundary is insulated and that the left boundary (x = 0) is...
Gina Fox has started her own company, Foxy Shirts, which manufactures imprinted shirts for special occasions. Since she has just begun this operation, she rents the equipment from a local printing...
It is asserted that 80% of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of six cars: a. All six will...
Refer to Example 3.2. From the histogram for investment A, estimate the following probabilities. a. P(X > 45) b. P(10 < X < 40) c. P(X < 25) d. P(35 < X < 65)
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are...
Content Marketing Institute provides insights on the content marketing habits of nonprofit professionals representing a broad range of nonprofit agencies and organizations. A survey of non-profit...
When the 127 workers aged 1825 in the 2008 GSS were asked how many hours they worked in the previous week, the mean was 37.47 with a standard deviation of 13.63. Does this suggest that the population...
During the 2003 Super Bowl, Miller Lite Beer's commercial referred to as "The Miller Lite Girls" ranked among the top three most effective advertisements aired during the Super Bowl (USA Today,...
Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her...
How do the graphical and simplex methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
a. Explain why the IQ score is a continuous variable. b. What are the mean and the standard deviation for the distribution of: IQ scores? SAT scores? standard scores? c. Express, algebraically or as...
A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in...
The following system of equations is designed to determine concentration (the cs in g/m 3 ) in a series of coupled reactors as a function of the amount of mass input to each reactor (the right-hand...
As described in Prob. 24.17, the cross-sectional area of a channel can be computed as Where B = the total channel width (m), H the depth (m), and y = distance from the bank (m). In a similar fashion,...
Each coffee table produced by Meising Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Meisings firm is small, and its resources are limited. During any given production...