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mathematics
statistics

Questions and Answers of Statistics

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.
Use the Mann-Whitney U test and α = .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 Î± = .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 .. 70179 .. 64183 .. 67190
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 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 (EMS) arm of the organization. Does that mean
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
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? What was the result of thetest?
Examine the following Minitab output. Discuss the statistical test, its intent, and itsoutcome.
Study the following Minitab output. What statistical test was being computed by Minitab? What are the results of thisanalysis?
Study the following Minitab output. What type of statistical test was done? What were the hypotheses, and what was the outcome?Discuss.
Shown here is Minitab output from a Friedman test. What is the size of the experimental design in terms of treatment levels and blocks? Discuss the outcome of the experiment in terms of any
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
An airline company uses a central telephone bank and a semi-automated 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
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
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 non-conformances 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 non-conforming items. Among the things the
Examine the three control charts shown. 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. Comment on each chart. Question continue to next page.:.
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. A frequency tally of the problems follows. Construct a Pareto chart for these data.Problem .. Frequency1 ..... 6732 ...... 293 .... 1084
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 sub-causes, 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 two hours for three
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 non-conformances 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
A manufacturer produces digital watches. Every two 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
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 non-conformances 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 c chart for non-conformances for a part produced in a manufacturing process. Comment on theresults.
Study the Mini tab 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
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
Although Ken Brown is the principal owner of Brown Oil, his brother Bob is credited with making the company a financial success. Bob is vice president of finance. Bob attributes his success to his
Using computer software, find the least squares regression line for the data in Problem 4-13. Based on the F test, is there a statistically significant relationship between the first test grade and
What effect does the value of the smoothing constant have on the weight given to the past forecast and the past observed value? Discuss.
Using the DJIA data in Problem 5-37, use exponential smooth with trend adjustment to forecast the opening DJIA value for 2011. Use ( = 0.8 and ( = 0.2 Compare the MSE for this technique with the MSE
For the data in Problem 5-40, develop an exponential smoothing model with a smoothing constant of 0.3. Using the MSE, compare this with the model in Problem 5-40.
Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions:(a) An unbounded problem(b) An infeasible problem(c) A problem
The stepping-stone method is being used to solve a transportation problem. The smallest quantity in a cell with a minus sign is 35, but two different cells with minus signs have 35 units in them.
Getting a degree from a college or university can be a long and difficult task. Certain courses must be completed before other courses may be taken. Develop a network diagram, in which every activity
Find ((2) for Problem 15-24.Information from 15-24 for finding ((2)Store 1 currently has 40% of the market; store 2 currently has 60% of the market.In each period, store 1 customers have an 80%
The file S02_01.xlsx indicates the gender and nationality of the MBA incoming class in two successive years at the Kelley School of Business at Indiana University. a. For each year, create tables of
The file S02_02.xlsx contains information on over 200 movies that came out during 2006 and 2007. a. Create two column charts of counts, one of the different genres and one of the different
The file S02_03.xlsx contains data from a survey of 399 people regarding a government environmental policy.a. Which of the variables in this data set are categorical? Which of these are nominal;
The file S02_04.xlsx contains salary data on all Major League Baseball players for each year from 2002 to2009. For each year, create a table of counts of the various positions, expressed as
The file DJIA Monthly Close.xlsx contains monthly values of the Dow Jones Industrial Average from1950 through 2009. It also contains the percentage changes from month to month. Create a new column
The file S02_06.xlsx lists the average time (in minutes) it takes citizens of 379 metropolitan areas to travel to work and back home each day.a. Create a histogram of the daily commute times.b. Find
The file S02_07.xlsx includes data on 204 employees at the (fictional) company Beta Technologies.a. Indicate the data type for each of the six variables included in this data set.b. Create a
The file S02_08.xlsx contains data on 500 shipments of one of the computer components that a company manufactures. Specifically, the proportion of items that are defective is listed for each
The file S02_09.xlsx lists the times required to service 200 consecutive customers at a (fictional) fast-foods restaurant.a. Create a histogram of the customer service times.How would you
The file S02_10.xlsx contains midterm and final exam scores for 96 students in a corporate finance course.a. Create a histogram for each of the two sets of exam scores.b. What are the mean and median
The file S02_11.xlsx contains data on 148 houses that were recently sold in a (fictional) suburban community.The data set includes the selling price of each house, along with its appraised value,
The file S02_13.xlsx contains the thickness (in centimeters) of 252 mica pieces. A piece meets specifications if its thickness is between 7 and 15centimeters.a. What fraction of mica pieces meets
The file S02_16.xlsx contains traffic data from 256weekdays on four variables. Each variable lists the number of vehicle arrivals to a tollbooth during a specific five-minute period of the day.a.
The file S02_17.xlsx contains salaries of 200 recent graduates from a (fictional) MBA program. a. What salary level is most indicative of those earned by students graduating from this MBA program
The file S02_18.xlsx contains daily values of the Standard & Poor’s 500 Index from 1970 to 2009. It also contains percentage changes in the index from each day to the next.a. Create a histogram of
The file S02_19.xlsx lists annual percentage changes in the Consumer Price Index (CPI) from 1914 through 2008. Find and interpret the first and third quartiles and the inter-quartile range for these
The Consumer Confidence Index (CCI) attempts to measure people’s feelings about general business conditions, employment opportunities, and their own income prospects. Monthly average values of the
The file S02_21.xlsx contains monthly interest rates on 30-year fixed-rate mortgages in the United States from 1977 to 2009. The file also contains rates on15-year fixed-rate mortgages from late 1991
The file S02_22.xlsx contains annual trade balances (exports minus imports) from 1980 to 2008.a. Create a times series graph for each of the three time series in this file.b. Characterize recent
What has happened to the total number and average size of farms in the United States since the middle of the 20th century? Answer this question by creating a time series graph of the data from the
Is educational attainment in the United States on the rise? Explore this question by creating time series graphs for each of the variables in the file S02_24.xlsx. Comment on any observed trends in
The monthly averages of the federal funds rate and the bank prime loan rate are listed in the file S02_25.xlsx. a. Describe the time series behavior of these two variables. Can you discern any
In which months of the calendar year do U.S. gasoline service stations typically have their lowest retail sales levels? In which months of the calendar year do the service stations typically have
The file S02_27.xlsx contains monthly data for total U.S. retail sales of building materials. There are really two series, one of actual values and one of seasonally adjusted values. The latter
The file S02_28.xlsx contains total monthly U.S. retail sales data for a number of years. There are really two series, one of actual sales and one of seasonally adjusted sales. The latter adjusts for
There is no consistent way of defining an outlier that everyone agrees upon. For example, some people refer to an outlier that is any observation more than three standard deviations from the mean.
Sometimes it is possible that missing data are predictive in the sense that rows with missing data are somehow different from rows without missing data. Check this with the file S02_32.xlsx, which
The file S02_03.xlsx contains data from a survey of 399 people regarding an environmental policy. Use filters for each of the following.a. Identify all respondents who are female, middle-aged, and
The file S02_07.xlsx includes data on 204 employees at the (fictional) company Beta Technologies. Use filters for each of the following.a. Identify all employees who are male and have exactly 4 years
The file S02_35.xlsx contains (fictional) data from a survey of 500 randomly selected households. Use Excel filters to answer the following questions. a. What are the average monthly home mortgage
Recall that the file Supermarket Transactions.xlsx contains over 14,000 transactions made by supermarket customers over a period of approximately two years. Use Excel filters to answer the following
The file S02_35.xlsx contains (fictional) data from a survey of 500 randomly selected households. Use Excel filters to answer the following questions. a. Identify households that own their home and
The file S02_35.xlsx contains (fictional) data from a survey of 500 randomly selected households.a. Indicate the type of data for each of the variables included in the survey.b. For each of the
The file S02_39.xlsx contains SAT test scores (two verbal components, a mathematical component, and the sum of these three) for each state and Washington DC in 2009. It also lists the percentage of
The Wall Street Journal CEO Compensation Study analyzed CEO pay from many U.S. companies with fiscal year 2008 revenue of at least $5 billion that filed their proxy statements between October 2008

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