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Questions and Answers of
Statistics
Listed below are numbers of years that U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. Assume that the data are samples randomly
The last 110 baseball World Series ended with 63 wins by American League teams and 47 wins by National League teams. Use the sign test to test the claim that in each World Series, the American League
Listed below are consecutive first-digits drawn in the California Daily 4 lottery. Test for randomness of even and odd integers. Does the lottery appear to be working as it should?Use a 0.05
In a study of speed dating conducted at Columbia University, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not
Repeat the preceding exercise using the Wilcoxon signed-ranks test.Preceding ExerciseUse a 0.05 significance level with the indicated test. If no particular test is specified, use the appropriate
Refer to the same data from the preceding exercise. Use the Wilcoxon signedranks test to test the claim that differences between fares for flights scheduled 1 day in advance and those scheduled 30
Compare the three samples using means, medians, and standard deviations.The values are departure delay times (minutes) for American Airlines flights from New York to Los Angeles. Negative values
Use the departure delay times for Flight 19 and test for normality using a normal quantile plot.The values are departure delay times (minutes) for American Airlines flights from New York to Los
Use a nonparametric test to test the claim that the three samples are from populations with the same median departure delay time.The values are departure delay times (minutes) for American Airlines
Among readers of a USA Today website, 285 chose to respond to this posted question: "Are you afraid of heights in tall buildings?" Among those who chose to respond, 46% answered "yes" and 54%
Treat the five measurements from each day as a sample and construct an R chart. What does the result suggest?Refer to the accompanying table of weights (grams) of quarters minted by the U.S.
Treat the 5 measurements from each day as a sample and construct an x chart. What does the result suggest?Refer to the accompanying table of weights (grams) of quarters minted by the U.S. government.
Treat the 100 consecutive measurements from the 20 days as individual values and construct a run chart. What does the result suggest?Refer to the accompanying table of weights (grams) of quarters
Many people in Nevada, Arizona, and California get water and electricity from Lake Mead and Hoover Dam. Shown in Exercise 4 are an x chart (top) and an R chart (bottom) obtained by using the monthly
What does the R chart tell us about Lake Mead?
Treat the 175 axial loads as a string of consecutive measurements and construct a run chart. What does the result suggest? Refer to the axial loads (pounds) of aluminum Pepsi cans that are 0.0109 in.
Treat the seven measurements from each day as a sample and construct an R chart. What does the result suggest? Refer to the axial loads (pounds) of aluminum Pepsi cans that are 0.0109 in. thick, as
Treat the seven measurements from each day as a sample and construct an x chart. What does the result suggest? Refer to the axial loads (pounds) of aluminum Pepsi cans that are 0.0109 in. thick, as
Specifications for a quarter require that it be 8.33% nickel and 91.67% copper; it must weigh 5.670 g and have a diameter of 24.26 mm and a thickness of 1.75 mm; and it must have 119 reeds on the
Defective car batteries are a nuisance because they can strand and inconvenience drivers, and drivers could be put in danger. A car battery is considered to be defective if it fails before its
A variation of the control chart for p is the np chart, in which the actual numbers of defects are plotted instead of the proportions of defects. The np chart has a centerline value of np, and the
The control chart for Exercise 1 shows a value of p̅ = 0.0975. What does that value denote, and how is it obtained? What do UCL and LCL indicate?
Repeat Exercise 5, assuming that the size of each batch is 100 instead of 10,000. Compare the control chart to the one found for Exercise 5. Comment on the general quality of the manufacturing
Bottles of aspirin tablets typically have labels indicating that each tablet contains 325 mg of aspirin, but the actual amounts can vary between 315 mg and 335 mg. A tablet is defective if it has
At least one corporation was sued for manufacturing defective heart defibrillators. Listed below are the numbers of defective defibrillators in successive batches of 1000. Construct a control chart
After finding the values of the mean and range for each year, find the values of xÌ¿ and RÌ . Then find the values of LCL and UCL for an R chart and find the values of LCL
Let each subgroup consist of the 6 values within a year. Construct an R chart and determine whether the process variation is within statistical control. If it is not, identify which of the three
Let each subgroup consist of the 6 values within a year. Construct an x chart and determine whether the process mean is within statistical control. If it is not, identify which of the three
Construct a run chart for the 48 values. Does there appear to be a pattern suggesting that the process is not within statistical control?Refer to the amounts of energy consumed in the author's home.
The Newport Diner records the times (min) it takes before customers are asked for their order. Each day, 50 customers are randomly selected and the order is considered to be defective if it takes
In a survey of n = 2015 adults, 1108 of them said that they learn about medical symptoms more often from the Internet than from their doctor (based on a MerckManuals.com survey). Use the data to
The accompanying table summarizes randomly selected sample data for San Francisco defendants in burglary cases (based on data from "Does It Pay to Plead Guilty? Differential Sentencing and the
Use the survey results given in Exercise 1 and use a 0.05 significance level to test the claim that the majority of adults learn about medical symptoms more often from the Internet than from their
Listed below are annual sunspot numbers paired with annual high values of the Dow Jones Industrial Average (DJIA). Sunspot numbers are measures of dark spots on the sun, and the DJIA is an index that
Use the data from Exercise 5 and find the equation of the regression line. Then find the best predicted value of the DJIA in the year 2004, when the sunspot number was 61. How does the result compare
On the basis of Data Set 1 "Body Data" in Appendix B, assume that heights of men are normally distributed, with a mean of 68.6 in. and a standard deviation of 2.8 in.a. The U.S. Coast Guard requires
The Tracolyte Manufacturing Company produces plastic frames used for child booster seats in cars. During each week of production, 120 frames are selected and tested for conformance to all regulations
Discuss the meaning of the phrase "probortunity."
Define the term business analytics.
What is the relationship between business analytics and spreadsheet modeling?
In the solution to the Blue Ridge Hot Tubs problem, the optimal values for X1 and X2 turned out to be integers (whole numbers). Is this a general property of the solutions to LP problems? In other
Rick Eldridge is the new Vice President for operations at the The Golfer's Link (TGL), a company specializing in the production of quality, discount sets of golf clubs. Rick was hired primarily
The Embassy Lodge hotel chain wants to compare its brand efficiency to that of its major competitors using DEA. Embassy collected the following data reported in industry trade publications. Embassy
To use the balance-of-flow rule presented in this chapter, constraints for supply nodes must have negative RHS values. Some LP software packages cannot solve problems in which the constraints have
Joni Wu manages the GoldRush Casino in New Orleans. She would like to adjust the assortment of gaming machines in the casino to ensure they are operating in the most profitable manner. The following
Charles McKeown is an acquisitions editor for a college textbook publisher. The file Books.xlsx that accompanies this book contains a list of 151 textbooks that Charles has an opportunity to acquire
GLMH Shipping is a start-up company that plans to offer same-day shipping services between 20 major cities in the U.S. In order to provide this service, GLMH needs to build hubs at airports in
CaroliNet is a satellite TV service provider for residential customers in the state of North Carolina. The company is planning to expand and offer satellite TV service in South Carolina as well. The
Bavarian Motor Company (BMC) manufacturers cars and SUVs in Europe and ships them to distributors in the U.S. Presently, BMC has an inventory of 200 cars and 140 SUVs in Newark, NJ and 300 cars and
In the Colpitts Control Devices workload balancing problem presented in this chapter a successor task could be assigned to the same workstation as an immediate predecessor task. Suppose we change
Bowden Transport provides dispatching services for independent truckers who specialize in transporting cars purchased online from the seller to the buyer. At present, there are four cars needing to
Lex Rex is an aspiring rock band composed of college friends based in Raleigh, NC. They are planning a short tour that will take them to five other college towns throughout the Mid-Atlantic region
Andy Parker's family has been planning a visting to a major theme park in Florida. As the family wants to make the most of their time at the park, Andy has collected data (in the file ParkData.xlsx
A recruiter for Big Box stores has collected the data in the file BigBox.xlsx summarizing the amount of money the company spent on print, web, and TV advertising in California over the past 22 months
Suppose the variable X is being used to predict Y using a linear regression function of the form Ŷi = b0 + b1Xi. If there is no linear relation between X and Y what is the optimal regression
Use regression analysis to fit a linear trend model to the data set.a. What is the estimated regression function?b. Interpret the R2 value for your model.c. What are the forecasts for each of the
Use regression analysis to fit a quadratic trend model to the data set.a. What is the estimated regression function?b. Compare the adjusted-R2 value for this model to that of the linear trend model.
Use Holt's method to create a model that minimizes the MSE for the data set. UseSolver to determine the optimal values of α and βa. What are the optimal values of α and β?b. What are the
Branch banks must keep enough money on hand to satisfy customers' cash demands. Suppose that the daily demand for cash at a branch of University Bank follows a lognormal distribution with means and
Meredith Shomers manages scholarship endowments for a major public university. Presently, she is trying to determine how much scholarship money may be awarded from an endowment with a current balance
Firebird Packaging Operations manufactures small plastic cups used in a popular single cup brewing systems for coffee, tea, and hot chocolate. The cups are thermoformed with several different plastic
Output totaled 40,000 units. Each unit requires three machine hours of effort. Materials handling costs are allocated to the products based on direct materials cost. Design costs are allocated based
Suppose that arrivals to a queuing system with one server follow a Poisson distribution with an average of λ = 5 per time period, and that service times follow an exponential distribution with an
Anyone who has suffered with an acute or chronic illness is probably very appreciative for whatever drugs are available to cure or manage the disease. In the United States, the Food and Drug
Write on the impact of corruption on an organization of your choice. Include the following: Who committed this corruption? Why did they commit this corruption? How did they commit this
Lori Henderson runs a specialty ski clothing shop outside of Boone, North Carolina. She must place her order for ski parkas well in advance of ski season because the manufacturer produces them in the
A nationwide survey of 1000 U.S. adults, conducted in March 2013 by Rasmussen Reports (field work by Pulse Opinion Research, LLC), found that 50% of respondents favored a plan to break up the 12
The document "American Attitudes about Genocide" provided highlights of a nationwide poll with 1000 participants. The survey, conducted by Penn Schoen Berland between June 30 and July 10, 2012,
In its Summer 2013 Animal Action Report, the National Anti-Vivisection Society stated that "59% of Americans between the ages of 18 and 29 oppose medical testing on animals." The percentage of 59%
In the special report, "Bitter Pill: Why Medical Bills Are Killing Us" (TIME, Vol. 181, No. 8, 2013), S. Brill presented an in-depth investigation of hospital billing practices that reveals why U.S.
The members of a population are numbered 1−5.a. List the 10 possible samples (without replacement) of size 3 from this population.b. If an SRS of size 3 is taken from the population, what are the
The members of a population are numbered 1-4.a. List the 6 possible samples (without replacement) of size 2 from this population.b. If an SRS of size 2 is taken from the population, what are the
The members of a population are numbered 1-90.Use Table I in Appendix A to obtain an SRS of size 5 from the population. Start at the two-digit number in line number 15 and column numbers 25−26,
The members of a population are numbered 1-50.Use Table I in Appendix A to obtain an SRS of size 6 from the population. Start at the two-digit number in line number 10 and column numbers 10−11,
In the year 2000, an on-line poll was conducted over Memorial Day weekend that asked people what they were doing to observe the holiday. The choices were: (1) stay home and relax, (2) vacation
The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.a. List the possible samples of size 1 that can be obtained from the
The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.a. List the 10 possible samples (without replacement) of size 3 that can be
From Wikipedia.com, we obtained the top seven major active social networking websites in the United States, excluding dating websites. Ranked according to registered users, as of April 2013, from
Oftentimes, an accurate and complete list of the population is unavailable. In such cases, one or more groups will be omitted from the sampling process because they are not listed as part of the
When responses are not obtained from some of the individuals in the sample because either those individuals cannot be reached or refuse to participate, we have nonresponse bias.a. Discuss some of the
When the behavior of the interviewer or respondent results in inaccurate responses we have response bias.a. Explain why a survey question "Do you smoke marijuana" might result in response bias?b.
The members of a population have been numbered 1-372. A sample of size 5 is to be taken from the population, using systematic random sampling.a. Apply Procedure 1.1 on page 17 to determine the sample
The members of a population have been numbered 1-500. A sample of size 9 is to be taken from the population, using systematic random sampling.a. Apply Procedure 1.1 on page 17 to determine the sample
The members of a population have been numbered 1-50. A sample of size 20 is to be taken from the population, using cluster sampling. The clusters are of equal size 10, where cluster #1 consists of
The members of a population have been numbered 1-100. A sample of size 30 is to be taken from the population, using cluster sampling. The clusters are of equal size 10, where cluster #1 consists of
The members of a population have been numbered 1-1000. A sample of size 20 is to be taken from the population, using stratified random sampling with proportional allocation. The strata are of sizes
The members of a population have been numbered 1-500. A sample of size 10 is to be taken from the population, using stratified random sampling with proportional allocation. The strata are of sizes
In the article, "Reasons for Non-uptake of Measles, Mumps, and Rubella Catch Up Immunisation in a Measles Epidemic and Side Effects of the Vaccine" (British Medical Journal, Vol. 310, pp. 1629-1632),
During one year, a university wanted to gauge the sentiment of the people using the university's parking facilities. Each of the 8493 people that used the parking facilities had a sticker with a
In Exercise 1.49 on page 16, you used simple random sampling to obtain a sample of 10 firms from Fortune Magazine's list of "The International 500."In E 49Each year, Fortune Magazine publishes an
The Peace Corps is an independent U.S. government agency that provides trained volunteers for countries requesting assistance. According to Peacecorps.org, as of September 2012, volunteers currently
Define each of the following terms in the context of experimental design.a. Response variableb. Factorc. Levelsd. Treatments
In this section, we discussed two types of statistical designs. Identify and explain the meaning of each one.
In a designed experiment, there are two factors, say, Factor A and Factor B. Factor A has three levels, say, a1, a2, and a3; Factor B has four levels, say, b1, b2, b3, and b4.a. Construct a schematic
In a designed experiment, there are two factors, say, Factor A and Factor B. Factor A has four levels, say, a1, a2, a3, and a4; Factor B has two levels, say, b1 and b2.a. Construct a schematic for
Prozac (fluoxetine hydrochloride), a product of Eli Lilly and Company, is used for the treatment of depression, obsessive-compulsive disorder (OCD), and bulimia nervosa. An issue of the magazine
A driver's ability to detect highway signs is an important consideration in highway safety. In his dissertation, Highway Construction Safety and the Aging Driver, S. Younes investigated the distance
In a study by A. Elliot et al., titled "Women's Use of Red Clothing as a Sexual Signal in Intersexual Interaction" (Journal of Experimental Social Psychology, Vol. 49, Issue 3, pp. 599-602), women
In an experiment reported by J. Singer and D. Andrade in the article "Regression Models for the Analysis of Pretest/Posttest Data" (Biometrics, Vol. 53, pp. 729-735), the effect of using either a
From the FlightStats On-time Performance Report Summary, we found that, in July 2013, the top five North American airlines in terms of percentage of on-time arrivals were Hawaiian (H), Horizon (Z),
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