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mathematics
statistics

Questions and Answers of Statistics

Are the types of professional jobs held in the computing industry independent of the number of years a person has worked in the industry? Suppose 246 workers are interviewed. Use the results obtained
A study by Market Facts/TeleNation for Personnel Decisions International (PDI) found that the average work-week is getting longer for U.S. full-time workers. Forty-three percent of the responding
Is the number of children that a college student currently has independent of the type of college or university being attended? Suppose students were randomly selected from three types of colleges
A survey by Ipsos-Reid reported in American Demographics showed that if a person was given a $1,000 wind-fall, 36% would spend the money on home improvement, 24% on leisure travel/vacation, 15% on
Do men and women prefer the same colors of cars? That is, is sex independent of color preference for cars? Suppose a study is undertaken to address this question.A random sample of men and women are
In 1895, Ignaz Schwinn and his partner, Adolph Arnold, incorporated the Arnold, Schwinn & Company in Chicago to produce bicycles. In the early years with bicycle products such as the "Roadster," a
Test the following sequence of observations by using the runs test and α = .05 to determine whether the process produced random results.X X X Y X X Y Y Y X Y X Y X X Y Y Y Y X
Test the following sequence of observations by using the runs test and α = .05 to determine whether the process produced random results.M M N N N N N M M M M M M N N M M M M M N MM N N N N N N N N N
A process produced good parts and defective parts. A sample of 60 parts was taken and inspected. Eight defective parts were found. The sequence of good and defective parts was analyzed by using
A Watson Wyatt Worldwide survey showed that 58% of all Hispanic Americans are satisfied with their salary. Suppose a researcher randomly samples 27 Hispanic American workers and asks whether they are
A Virginia Slims Opinion Poll by Roper Starch found that more than 70% of the women interviewed believe they have had more opportunity to succeed than their parents. Suppose a researcher in your
A survey conducted by the Ethics Resource Center discovered that 35% of all workers say that coworkers have committed some kind of office theft. Suppose a survey is conducted in your large company to
Use the Mann-Whitney U test and the following data to determine whether there is a significant difference between the values of group 1 and group 2. Let α = .05.Group 1 Group 215 ........ 2317
The data shown represent two random samples gathered from two populations. Is there sufficient evidence in the data to determine whether the values of population 1 are significantly larger than the
Results of a survey by the National Center for Health Statistics indicated that people between 65 and 74 years of age contact a physician an average of 9.8 times per year. People 75 and older contact
Suppose 12 urban households and 12 rural households are selected randomly and each family is asked to report the amount spent on food at home annually. The results follow. Use a Mann-Whitney U test
Does the male stock market investor earn significantly more than the female stock market investor? One study by the New York Stock Exchange showed that the male investor has an income of $46,400 and
The National Association of Realtors reports that the median price of an existing single-family home in Denver, Colorado, is $225,100 and the median price of an existing single-family home in
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the two groups of related data given. Use Î± = .10.Assume the underlying distributions
Use the Wilcoxon matched-pairs signed rank test and α = .05 to analyze the before-and-after measurements given. Assume the underlying distributions are symmetrical.Before After49 ..........4341
A corporation owns a chain of several hundred gasoline stations on the eastern seaboard. The marketing director wants to test a proposed marketing campaign by running ads on some local television
Most supermarkets across the United States have invested heavily in optical scanner systems to expedite customer checkout, increase checkout productivity, and improve product accountability. These
American attitudes toward big business change over time and probably are cyclical.Suppose the following data represent a survey of 20 American adults taken in 1990 and again in 2009 in which each
Suppose 16 people in various industries are contacted in 2008 and asked to rate business conditions on several factors. The ratings of each person are tallied into a "business optimism" score. The
Use the Kruskal-Wallis test to determine whether groups 1 through 5 come from different populations.Let a =.01.
Use the Kruskal-Wallis test to determine whether there is a significant difference inthe following groups.Use a =.05.
Is there a difference in the amount of customers' initial deposits when they open savings accounts according to geographic region of the United States? To test this question, an analyst selects
Does the asking price of a new car vary according to whether the dealership is in a small town, a city, or a suburban area? To test this question, a researcher randomly selects dealerships selling
A survey by the U.S. Travel Data Center showed that a higher percentage of Americans travel to the ocean/beach for vacation than to any other destination. Much further behind in the survey, and
Do workers on different shifts get different amounts of sleep per week? Some people believe that shift workers who regularly work the graveyard shift (12:00 A.M. to 8:00 A.M.) or swing shift (4:00
Use the following data to test to determine whether there are any differences between treatment levels.Let a =.05.
Use the Friedman test and a = .05 to test the following data to determine whether there is a significant difference between treatmentlevels.
An experiment is undertaken to study the effects of four different medical treatments on the recovery time for a medical disorder. Six physicians are involved in the study. One patient with the
Does the configuration of the workweek have any impact on productivity? This question is raised by a researcher who wants to compare the traditional 5-day workweek with a 4-day workweek and a
Shown here is Minitab output from a Friedman test.What is the size of the experimental design in terms of treatment levels and blocks?Friedman Test: Observations Versus Treatment Blocked by
Shown here is Minitab output for a Friedman test.Friedman Test: Observations Versus Treatment Blocked by BlockDiscuss the experimental design and the outcome of theexperiment.
Compute a Spearman’s rank correlation for the following variables to determine thedegree of association between the two variables.x y23 .......20141 .......25937 .......23429 .......24025
The following data are the ranks for values of the two variables, x and y.Compute a Spearman's rank correlation to determine the degree of relation between the twovariables.
Compute a Spearman's rank correlation for the followingdata.
Over a period of a few months, is there a strong correlation between the value of the U.S. dollar and the prime interest rate? The following data represent a sample of these quantities over a period
Shown here are the percentages of consumer loans with payments that are 30 days or more overdue for both bank credit cards and home equity loans over a 14-year period according to the American
Shown here are the net tonnage figures for total pig iron and raw steel output in the United States as reported by the American Iron and Steel Institute over a 12-year period. Use these data to
Is there a correlation between the number of companies listed on the New York Stock Exchange in a given year and the number of equity issues on the American Stock Exchange? Shown on the next page are
Use the runs test to determine whether the sample is random. Let alpha be .05.1 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 22 2 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2
Use the Mann-Whitney U test and a = .01 to determine whether there is a significant difference between the populations represented by the two samples given here.Sample 1 Sample 2573 ..........547532
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the related populations represented by the matched pairs given here. Assume α =
Use the Kruskal-Wallis test and a = .01 to determine whether the four groups come from differentpopulations.
Use the Friedman test to determine whether the treatment groups come from different populations.Let alpha be.05.
Compute a Spearman’s rank correlation to determine the degree of association between the two variables.Variable 1 Variable 2101 ..........87129 ..........89133 ..........84147 ..........79156
Commercial fish raising is a growing industry in the United States. What makes fish raised commercially grow faster and larger? Suppose that a fish industry study is conducted over the three summer
Manchester Partners International claims that 60% of the banking executives who lose their job stay in banking, whereas 40% leave banking. Suppose 40 people who have lost their job as a banking
Three machines produce the same part. Ten different machine operators work these machines. A quality team wants to determine whether the machines are producing parts that are significantly different
In some firefighting organizations, you must serve as a firefighter for some period of time before you can become part of the emergency medical service arm of the organization. Does that mean EMS
Automobile dealers usually advertise in the yellow pages of the telephone book. Sometimes they have to pay to be listed in the white pages, and some dealerships opt to save money by omitting that
Suppose you want to take a random sample of GMAT test scores to determine whether there is any significant difference between the GMAT scores for the test given in March and the scores for the test
Does impulse buying really increase sales? A market researcher is curious to find out whether the location of packages of chewing gum in a grocery store really has anything to do with volume of gum
Does deodorant sell better in a box or without additional packaging? An experiment in a large store is designed in which, for one month, all deodorants are sold packaged in a box and, during a second
Some people drink coffee to relieve stress on the job. Is there a correlation between the number of cups of coffee consumed on the job and perceived job stress? Suppose the data shown represent the
A Gallup/Air Transport Association survey showed that in a recent year, 52% of all air trips were for pleasure/ personal and 48% were for business. Suppose the organization randomly samples 30 air
Does a statistics course improve a student's mathematics skills, as measured by a national test? Suppose a random sample of 13 students takes the same national mathematics examination just prior to
Should male managers wear a tie during the workday to command respect and demonstrate professionalism? Suppose a measurement scale has been developed that generates a management professionalism
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired drink the cup is automatically filled. This method
A particular metal part can be produced at different temperatures. All other variables being equal, a company would like to determine whether the strength of the metal part is significantly different
Is there a strong correlation between the number of miles driven by a salesperson and sales volume achieved? Data were gathered from nine salespeople who worked territories of similar size and
Workers in three different but comparable companies were asked to rate the use of quality-control techniques in their firms on a 50-point scale. A score of 50 represents nearly perfect implementation
The scores given are husband-wife scores on a marketing measure. Use the Wilcoxon matched-pairs signed rank test to determine whether the wives' scores are significantly higher on the marketing
Study the following Minitab output. What statistical test was run? What type of design was it?Friedman Test: Observations VersusTreatment Blocked by BlockWhat was the result of thetest?
Examine the following Minitab output. Discuss the statistical test, its intent, and its outcome.Runs TestRuns above and below K = 1.4200The observed number of runs = 28The expected number of runs =
Study the following Minitab output. What statistical test was being computed by Minitab? What are the results of this analysis?Mann-Whitney Test and CIPoint estimate for ETA1-ETA2 is -8.000 95.7
Study the following Minitab output. What type of statistical test was done? What were the hypotheses, and what was the outcome? Discuss.Kruskal-Wallis Test onObservations
The Robotron-Elotherm company is known for its expertise in power electronics for welding, induction bonding, and process heating. Originally known as Robotron, the company manufactured bonding
An airline company uses a central telephone bank and a semiautomated telephone process to take reservations. It has been receiving an unusually high number of customer complaints about its
A food-processing company makes potato chips, pretzels, and cheese chips. Although its products are packaged and sold by weight, the company has been taking sample bags of cheese chips and counting
A toy-manufacturing company has been given a large order for small plastic whistles that will be given away by a large fast-food hamburger chain with its kid's meal. Seven random samples of four
A machine operator at a pencil-manufacturing facility gathered 10 different random samples of 100 pencils. The operator's inspection was to determine whether the pencils were in compliance or out of
A large manufacturer makes valves. Currently it is producing a particular valve for use in industrial engines. As a part of a quality-control effort, the company engineers randomly sample seven
A firm in the upper Midwest manufactures light bulbs. Before the bulbs are released for shipment, a sample of bulbs is selected for inspection. Inspectors look for nonconformances such as scratches,
A soft drink bottling company just ran a long line of 12-ounce soft drink cans filled with cola. A sample of 32 cans is selected by inspectors looking for nonconforming items. Among the things the
Examine the three control charts shown.a.b.c.Discuss any and all control problems that may be apparent from these controlcharts.
Study each of the following Minitab control charts and determine whether any of them indicate problems in the processes.a.b.c.Comment on eachchart.
Create a flowchart from the following sequence of activities: Begin. Flow to activity A. Flow to decision B. If Yes, flow to activity C. If No, flow to activity D. From C flow to activity E and to
An examination of rejects shows at least 10 problems.Problem Frequency1 ...........6732 ........... 293 ...........1084 ...........3795 ........... 736 ...........5647 ........... 128 ...........4029
A brainstorm session on possible causes of a problem resulted in five possible causes: A, B, C, D, and E. Cause A has three possible subcauses, cause B has four, cause C has two, cause D has five,
A bottled-water company has been randomly inspecting bottles of water to determine whether they are acceptable for delivery and sale. The inspectors are looking at water quality, bottle condition,
A fruit juice company sells a glass container filled with 24 ounces of cranapple juice. Inspectors are concerned about the consistency of volume of fill in these containers. Every 2 hours for 3 days
A metal-manufacturing company produces sheet metal. Statistical quality-control technicians randomly select sheets to be inspected for blemishes and size problems. The number of nonconformances per
A manufacturing company produces cylindrical tubes for engines that are specified to be 1.20 centimeters thick.As part of the company's statistical quality-control effort, random samples of four
A manufacturer produces digital watches. Every 2 hours a sample of six watches is selected randomly to be tested. Each watch is run for exactly 15 minutes and is timed by an accurate, precise timing
A company produces outdoor home thermometers. For a variety of reasons, a thermometer can be tested and found to be out of compliance with company specification. The company takes samples of
A plastics company makes thousands of plastic bottles for another company that manufactures saline solution for users of soft contact lenses. The plastics company randomly inspects a sample of its
A bathtub manufacturer closely inspects several tubs on every shift for nonconformances such as leaks, lack of symmetry, unstable base, drain malfunctions, and so on. The following list gives the
A glass manufacturer produces hand mirrors. Each mirror is supposed to meet company standards for such things as glass thickness, ability to reflect, size of handle, quality of glass, color of
Study the Minitab chart on the fill of a product that is supposed to contain 12 ounces. Does the process appear to be out of control?Why or whynot?
Study the Minitab R chart for the product and data used in Problem 18.24.Comment on the state of the production process for thisitem.
Study the Minitab p chart for a manufactured item. The chart represents the results of testing 30 items at a time for compliance. Sixty different samples were taken for this chart.Discuss the results
Study the Minitab c chart for nonconformances for a part produced in a manufacturing process.Comment on theresults.
The Fletcher-Terry Company of Farmington, Connecticut, is a worldwide leader in the development of glass-cutting tools and accessories for professional glaziers, glass manufacturers, glass artisans,
Suppose you have 30 observations from a normal distribution. The sample mean is 15 and the variance of X is 25. You want to test whether the sample mean is significantly different from 13.a) Write
You have 30 observations from a normal distribution. The sample mean is 15 and the variance of X is 25. You want to test whether your sample is significantly greater than 13.a) Write down the null
Smithson Mining operates asilver mine in Nevada. Acquisition, exploration, and development costs totaled $5.6 million. After the silver is extracted in approximately five years, Smithson is obligated

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