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business statistics communicating
Questions and Answers of
Business Statistics Communicating
Data were collected on a quantitative measure with subgroups of four observations.Twenty-five subgroups were collected, with the following results:x 2.33 R0.80a. Determine the Shewhart factors that
Data were collected on a quantitative measure with a subgroup size of three observations. Thirty subgroups were collected, with the following results:x 1,345.4 R209.3a. Determine the Shewhart
Sid Luka is the service manager for Brakes Unlimited, a franchise corporation that specializes in servicing automobile brakes. He wants to study the length of time required to replace the rear drum
Susan Booth is the director of operations for National Skyways, a small commuter airline with headquarters in Cedar Rapids, Iowa. She has become increasingly concerned about the amount of carry-on
Recall from Exercise 18-20 that Tony Perez is the manager of one of the largest chains of service stores that specialize in oil and lubrication of automobiles, Fastlube, Inc. One of the company’s
Regis Printing Company performs printing services for individuals and business customers. Many of the jobs require that brochures be folded for mailing. The company has a machine that does the
Referring to Exercise 18-23, if necessary delete any out-of-control points and construct the appropriate -and R-charts. Now, suppose the process stays in control for the next six weeks (subgroups 18
The Kaiser Corporation makes aluminum at various locations around the country. One of the key factors in being profitable is keeping the machinery running.One particularly troublesome machine is a
Referring to Exercise 18-21, assume the Ajax managers determine any issues identified by the control charts were caused by one time events. The data for weeks 41 through 45 are in the Ajax-Extra
Wilson, Ryan, and Reed is a large certified public accounting (CPA) firm in Charleston, South Carolina.It has been monitoring the accuracy of its employees and wishes to get the number of accounts
Referring to the process control charts developed in Exercise 18-14, data for periods 31 to 40 are contained in the file Grandfoods-Extra.a. Based on these data, what would you conclude about the
Referring to Exercise 18-15, suppose the process remained in control for the next 40 hours.The thickness measurements for hours 41 through 43 are as follows:Hour 41 0.764 0.737 0.724 0.716 0.752 Hour
Explain why it is important to update the control charts as soon as new data become available.Computer Database Exercises
Data were collected on a quantitative measure with a subgroup size of five observations. Thirty subgroups were collected, with the following results:x 44.52 R5.6a. Determine the Shewhart factors
The city bus line is consistently running behind schedule. Brainstorm possible causes organized by such cause categories as people, methods, equipment, and the environment. Once you have finished,
Suppose the computer lab manager at your school has been receiving complaints from students about long waits to use a computer. The “effect” is long wait times. The categories of possible causes
Refer to Exercise 18-6.a. Use brainstorming to generate a list of solutions for the top-rated parking problem.b. Order these possible solutions separately according to each of the following factors:
Assume that you are a member of a team at your university charged with the task of improving student, faculty, and staff parking. Use brainstorming to generate a list of problems with the current
Generate a process flowchart showing the steps you have to go through to buy a concert ticket at your school.
Develop a process flowchart that describes the registration process at your college or university.
Philip Crosby wrote the book Quality Is Free. In it he argues that it is possible to have high quality and low price. Do you agree? Provide examples that support your position.Business Applications
Deming is opposed to setting quotas or specific targets for workers.a. Use the library or the Internet to locate information that explains his reasoning.b. Discuss whether you agree or disagree with
Discuss the similarities and differences between Dr. Deming’s 14 points and Dr. Juran’s 10 steps to quality improvement.
Two brands of tires are being tested for tread wear. To control for vehicle and driver variation, one tire of each brand is put on the front wheels of 10 cars. The cars are driven under normal
A Vermont company is monitoring a process that fills maple syrup bottles. When the process is filling correctly, the median average fill in an 8-ounce bottle of syrup is 8.03 ounces. The last 15
During the production of a textbook, there are many steps between when the author begins preparing the manuscript and when the book is finally printed and bound. Tremendous effort is made to minimize
The manager of credit card operations for a small regional bank has determined that last year’s median credit card balance was $1,989.32. A sample of 18 customer balances this year revealed the
A study was recently conducted by the Bonneville Power Association (BPA) to determine attitudes regarding the association’s policies in western U.S. states. One part of the study asked respondents
The Style-Rite Company of Atlanta makes windbreaker jackets for people who play golf and who are active outdoors during the spring and fall months.The company recently developed a new material and is
The Miltmore Corporation performs consulting services for companies that think they have image problems. Recently, the Bluedot Beer Company approached Miltmore. Bluedot executives were concerned that
The Hunter Family Corporation owns roadside diners in numerous locations across the country. For the past few months, the company has undertaken a new advertising study. Initially, company executives
Students attending West Valley Community College buy their textbooks online from one of two different book sellers because the college does not have a bookstore. The following data represent sample
Let us examine how the sampling distribution of the Wilcoxon test statistic is obtained. Consider the sampling distributions of the positive ranks from a sample size of 4. The ranks to be considered
Students attending West Valley Community College buy their textbooks online from one of two different book sellers because the college does not have a bookstore. The following data represent sample
As an example of how the sampling distribution for the Mann–Whitney Test is derived, consider two samples with sample sizes n1 2 and n2 3. The distribution is obtained under the assumption that
In the library, locate two journal articles that use one of the nonparametric tests discussed in this chapter. Prepare a brief outline of the articles, paying particular attention to the reasons
Find an organization you think would be interested in data that would violate the measurement scale or known distribution assumptions necessary to use the statistical tools found in Chapters 10–12
Suppose as part of your job you are responsible for installing emergency lighting in a series of state office buildings. Bids have been received from four manufacturers of battery-operated emergency
Referring to Exercise 17-41, suppose that there were 40 ties at eight different salary levels. The following shows how many scores were ties at each salary level:a. Given the results in the previous
The American Beef Growers Association is trying to promote the consumption of beef products. The organization performs numerous studies, the results of which are often used in advertising campaigns.
A study was conducted in which samples were selected independently from four populations. The sample size from each population was 20. The data were converted to ranks. The sum of the ranks for the
Given the following data:Group 1 Group 2 Group 3 Group 4 20 28 17 21 27 26 15 23 26 21 18 19 22 29 20 17 25 30 14 20 30 25 23a. State the appropriate null and alternative hypotheses for determining
Given the following sample data:Group 1 Group 2 Group 3 10 8 13 9 6 12 11 8 12 12 9 11 13 10 13 12 10 15a. State the appropriate null and alternative hypotheses for determining whether a difference
Given the following sample data:Group 1 Group 2 Group 3 21 17 29 25 15 38 36 34 28 35 22 27 33 16 14 23 19 26 31 30 39 32 20 36a. State the appropriate null and alternative hypotheses to test whether
The Montgomery Athletic Shoe Company has developed a new shoe-sole material it thinks provides superior wear compared with the old material the company has been using for its running shoes. The
Radio advertisements have been stressing the virtues of an audiotape program to help children learn to read.To test whether this tape program can cause a quick improvement in reading ability, 10
The Kansas Tax Commission recently conducted a study to determine whether there is a difference in median deductions taken for charitable contributions depending on whether a tax return is filed as a
Property taxes are based on assessed values of property. In most states, the law requires that assessed values be “at or near” market value of the property.In one Washington county, a tax protest
The makers of the Plus 20 Hardcard, a plug-in hard disk unit on a PC board, have recently done a marketing research study in which they asked two independently selected groups to rate the Hardcard on
Consider the following data for two paired samples:Case # Sample 1 Sample 2 1 258 304 2 197 190 3 400 500 4 350 340 5 237 250 6 400 358 7 370 390 8 130 100a. Test the following null and alternative
You are given two paired samples with the following information:Item Sample 1 Sample 2 1 234 245 2 221 224 3 196 194 4 245 267 5 234 230 6 204 198 Based on these paired samples, test at the a 0.05
You are given two paired samples with the following information:Item Sample 1 Sample 2 1 19.6 21.3 2 22.1 17.4 3 19.5 19.0 4 20.0 21.2 5 21.5 20.1 6 20.2 23.5 7 17.9 18.9 8 23.0 22.4 9 12.5 14.3 10
For each of the following tests, determine which of the two sums of absolute ranks (negative or positive) you would choose, the appropriate test statistic, and the rejection region for the Wilcoxon
The following sample data have been collected from independent samples from two populations.Do the populations have different medians? Test at a significance level of 0.05. Use the Mann–Whitney
Determine the rejection region for the Mann–Whitney U-test in each of the following cases: a. H, a=0.05, n=3, and n = 15 b. H, a=0.10, n=5, and n = 20 c. H, a=0.025, n=9, and n=12 d. H, a=0.10,
For each of the following tests, determine which of the two U statistics (U1 or U2) you would choose, the appropriate test statistic, and the rejection region for the Mann–Whitney test: A a. HM,
The Wilson Company uses a great deal of water in the process of making industrial milling equipment. To comply with federal clean-water laws, it has a water purification system that all wastewater
The Penn Oil Company wished to verify the viscosity of its premium 30-weight oil. A simple random sample of specimens taken from automobiles running at normal temperatures was obtained. The
Sylvania’s quality control division is constantly monitoring various parameters related to its products.One investigation addressed the life of incandescent light bulbs (in hours). Initially, they
At Hershey’s, the chocolate maker, a particular candy bar is supposed to weigh 11 ounces. However, the company has received complaints that the bars are under weight. To assess this situation, the
A recent trade newsletter reported that during the initial 6-month period of employment, new sales personnel in an insurance company spent a median of 119 hours per month in the field. A random
A cable television customer call center has a goal that states that the median time for each completed call should not exceed four minutes. If calls take too long, productivity is reduced and other
Sigman Corporation makes batteries that are used in highway signals in rural areas. The company managers claim that the median life of a battery exceeds 4,000 hours. To test this claim, they have
Consider the following set of observations:3.1 4.8 2.3 5.6 2.8 2.9 4.4 You should not assume these data come from a normal distribution. Test the hypothesis that these data come from a distribution
Continuing with the DataNet forecasting problems, develop a double exponential smoothing model using smoothing constants a 0.20 and b 0.20.
Referring to Problem 16-58, the managers of DataNet, the Internet company where users can purchase products like airline tickets, need to forecast monthly call volumes in order to have sufficient
DataNet is an Internet service where clients can find information and purchase various items such as airline tickets, stereo equipment, and listed stocks. DataNet has been in operation for four
College tuition has risen at a pace faster than inflation for more than two decades, according to an article in USA Today. The following data indicate the average college tuition (in 2003 dollars)
Amazon.com has become one of the most successful online merchants. Two measures of its success are sales and net income/loss figures. They are given here.Year Net Income/Loss Sales 1995 -0.3 0.5 1996
Using whatever diagnostic tools you are familiar with, determine which of the three forecasting methods utilized to forecast sales for Malcar Autoparts Company in the previous three problems provides
Develop a double exponential smoothing model using smoothing constants a 0.20 and b 0.40. As starting values, use the least squares trend line slope and intercept values.a. Compute the MAD for
Develop a single exponential smoothing model using a 0.20. Use as a starting value the average of the first 6 years’ data. Determine the forecasted value for year 2010.a. Compute the MAD for this
As a start in analyzing these data,a. Graph these data and indicate whether they appear to have a linear trend.b. Develop a simple linear regression model with time as the independent variable. Using
Identify the businesses in your community that might be expected to have sales that exhibit a seasonal component. Discuss.
A time series exhibits the pattern stated below. Indicate the type of time-series component described.a. The pattern is “wavelike” with a recurrence period of nine months.b. The time series is
Referring to Problem 16-44, in which the sales manager for Grossmieller Imports of New York City needs to forecast monthly sales,a. Discuss why a double exponential smoothing model might be preferred
The human resources manager for a medium-sized business is interested in predicting the dollar value of medical expenditures filed by employees of her company for the year 2011. From her company’s
“The average college senior graduated this year with more than $19,000 in debt” was the beginning sentence of a recent article in USA Today. The majority of students have loans that are not due
With tax revenues declining in many states, school districts have been searching for methods of cutting costs without affecting classroom academics. One district has been looking at the cost of
The following data represent the average number of employees in outlets of a large consumer electronics retailer:Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Number 20.6 17.3 18.6 21.5 23.2
The federal funds rate is the interest rate charged by banks when banks borrow “overnight” from each other. The funds rate fluctuates according to supply and demand and is not under the direct
Refer to Problem 16-30.a. Use the linear trend model (without transformation) for the first 15 months and provide a cash balance forecast for month 16. Then make the t2 transformation and develop a
A major brokerage company has an office in Miami, Florida. The manager of the office is evaluated based on the number of new clients generated each quarter.The following data reflect the number of
Manuel Gutierrez correctly predicted the increasing need for home health care services due to the country’s aging population. Five years ago, he started a company offering meal delivery, physical
The average monthly price of regular gasoline in Southern California is monitored by the Automobile Club of Southern California’s monthly Fuel Gauge Report. The prices of the time period July 2004
“The average college senior graduated this year with more than $19,000 in debt” was the beginning sentence of a recent article in USA Today. The majority of students have loans that are not due
Examine the following quarterly data:t 1 2 3 4 5 6 7 8 9 10 11 12 yt 2 12 23 20 18 32 48 41 35 52 79 63a. Compute the four-period moving averages for this set of data.b. Compute the centered moving
Examine the following time series:t 1 2 3 4 5 6 7 8 9 10 yt 52 72 58 66 68 60 46 43 17 3a. Produce a scatter plot of this time series. Indicate the appropriate forecasting model for this time
Based on your work in the previous three problems,a. Determine a seasonally adjusted linear trend forecasting model. Compare this model with an unadjusted linear trend model. Use both models to
Retail Forward, Inc., is a global management consulting and market research firm specializing in retail intelligence and strategies. One of its press releases (June Consumer Outlook: Spending Plans
Construct a Laspeyres index using the data, assuming that in 1999, 40% of the cost of a townhouse was labor.
Construct a Paasche index for 2004 using the data. Use 1999 as the base year and assume that in 2004 60% of the cost of a townhouse was in materials.
Plot both series of data and comment on the trend you see in both plots.
Using 1999 as the base year, construct a separate index for each component in the construction of a house.
The following values represent advertising rates paid by a regional catalog retailer that advertises either on radio or in newspapers:Year Radio Rates ($) Newspaper Rates ($)1 300 400 2 310 420 3 330
Analyze the stepwise regression model. Write a report to the marketing manager pointing out the strengths and weaknesses of the model. Be sure to comment on the department’s goal of being able to
Referring to Problem 15-75, suppose the manager of McCracken’s marketing department questions the appropriateness of adding a second variable. How would you respond to her question?
Describe the regression model at Step 2 of the analysis.In your discussion, be sure to discuss the effect of adding a new variable on the standard error of the estimate and on R2.
Use forward selection stepwise regression to develop the multiple regression model. The variable x2, family income, was brought into the model. Discuss why this happened.
A first step in regression analysis often involves developing a scatter plot of the data. Develop the scatter plots of all the possible pairs of variables, and with a brief statement indicate what
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