A summary of the results is reproduced in the table. Consider the bar graph shown. Identify two ways in which the bar graph might mislead the viewer by overemphasizing the importance of one of the...
On a laboratory assignment, if the equipment is working, the density function of the observed outcome, X is Find the variance and standard deviation ofX. [2(1 -x), 0
Why must the service rate be greater than the arrival rate in a single-channel queuing system?
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...
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...
The Costello Music Company has been in business for five years. During that time, the sales of electric organs have grown from 12 units in the first year to 76 units in the most recent year. Fred...
Data envelopment analysis can measure the relative efficiency of a group of hospitals. The following data from a particular study involving seven teaching hospitals include three input measures and...
Calculate the following quantities using Excel. a. P(-2.00 t10 1.00), where t10 has a t distribution with 10 degrees of freedom. b. P(-2.00 t100 1.00), where t100 has a t distribution with 100...
The following data represent the number of cases of coffee or ï¬lters sold by four sales reps in a recent sales competition. (a) What is the probability that a randomly selected case was...
In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and in the United Kingdom. Suppose that independent random samples...
One Friday night, there were 42 carry-out orders at Ashoka Curry Express. (a) Estimate the mean and standard deviation from the sample. (b) Assuming that the data are from a normal distribution, de...
For 108 randomly selected college applicants, the following frequency distribution for entrance exam scores was obtained. Construct a histogram, frequency polygon, and ogive for the data. (The data...
Let CP denote carcinogenic potential, TR test results, and FR field results. Suppose that for Figure 7.23 we have the following probabilities: Figure 7.23 PiCP High) = 0.27 PiTR Positive CP...
Determine the real root of x3.5 = 80: (a) Analytically, and (b) With the false-position method to within s = 2.5 %. Use initial guesses of 2.0 and 5.0
If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate...
Assume that the length of a typical televised baseball game, including all the commercial timeouts, is normally distributed with mean 2.45 hours and standard deviation 0.37 hour. Consider a televised...
A company sends a random sample of 16 of its salespeople to a course designed to increase their motivation and, hence, presumably their effectiveness. In the following year these people generated...
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...
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...
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...
SPSS will calculate standard scores for any distribution. Examine the distribution of EDUC (years of school completed). a. Have SPSS calculate Z scores for EDUC. (See the SPSS Demonstration above if...
In a study comparing banks in Germany and Great Britain, a sample of 145 matched pairs of banks was formed. Each pair contained one bank from Germany and one from Great Britain. The pairings were...
In Fall 2011, the Wall Street Journal reported that 44% of smartphone purchases made by people with incomes between $35,000 to $50,000 were Android phones.16 (a) If the story is based on a sample of...
A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What dimensions will require the least amount of metal?
The advection-diffusion equation is used to compute the distribution of concentration along the length of a rectangular chemical reactor (see Sec. 32.1). c / t = D 2 c / x 2 U c / x kc where c =...
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...
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 22% of the times when they are needed (based on data...
A biotechnology company produces a therapeutic drug whose concentration has a standard deviation of 4 grams per liter. A new method of producing this drug has been proposed, although some additional...
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...
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)....
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...
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...
Determine whether the two random variables of Exercise 3.49 are dependent or independent.
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...
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...
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....
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...
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...
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,...
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...
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...
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,...
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 +...
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...
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...
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,...
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...
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...
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...
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...
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...
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...
A heavy-duty flashlight mirror has a parabolic cross section with diameter 6 in. and depth 1 in. a) Position a coordinate system with the origin at the vertex and the x-axis on the parabola's axis of...
The ogives shown are based on U.S. Census data and show the average annual personal income per capita for each of the 50 states. The data are rounded to the nearest thousand dollars. (i) Ogive (ii)...
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...
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.
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...
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...
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...
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...
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...
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 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...
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...
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...
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 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....
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...
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...
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...
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...
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.
Table P-23 in Chapter 3 contains the quarterly income before extraordinary items for Southwest Airlines for the years 1988-1999. a. Using Minitab, smooth the Southwest Airlines income data using...
The Schutzberg Brewery has received an order for 1,500 gallons of 3-percent beer (that is, 3 percent alcoholic content). This is a custom order because Schutzberg does not produce a 3-percent...
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...
The Department of Statistics at Western State University offers eight sections of basic statistics. Following are the numbers of students enrolled in these sections: 34, 46, 52, 29, 41, 38, 36, and...
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...
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.,...
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...
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...
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. 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...
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...
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...
Let a. Find limx0 f (x). b. Use four-digit rounding arithmetic to evaluate f (0.1). c. Replace each trigonometric function with its third Maclaurin polynomial, and repeat part (b). d. The actual...
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...
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)
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 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.
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...
The per-pupil costs (in thousands of dollars) for cyber charter school tuition for school districts in three areas of southwestern Pennsylvania are shown. At = 0.05, is there a difference in the...
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 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...
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...
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...
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...
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...
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...
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...