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business
business statistics for contemporary

Questions and Answers of Business Statistics For Contemporary

Use the Kruskal–Wallis test to determine if there is a signifi cant diff erence in Total Revenues by Type of Company in the Financial database.
Use a Mann–Whitney U test to determine whether there is a signifi cant diff erence between hospitals that are general hospitals and those that are psychiatric (Service variable) on Personnel for
Use a Kruskal–Wallis test to determine whether there is a signifi cant diff erence between the four levels of Value of Industry Shipments on Number of Employees for the Manufacture database.
Compute a Spearman’s rank correlation between New Capital Expenditures and End-of-Year Inventories in the Manufacture database. Is the amount spent annually on New Capital Expenditures related to
Does impulse buying really increase sales? A market researcher is curious to fi nd out whether the location of packages of chewing gum in a grocery store really has anything to do with volume of gum
Suppose you want to take a random sample of statistics test scores to determine whether there is any signifi cant diff erence between the statistics scores for the test given in March and the scores
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
In some fi refi ghting organizations, you must serve as a fi refi ghter for some period of time before you can become part of the emergency medical service arm of the organization. Does that mean EMS
Th ree 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 signifi cantly diff
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
Commercial fi sh farming is a growing industry in Europe. What makes fi sh raised commercially grow faster and larger? Suppose that a fi sh industry study is conducted over the three summer months in
Compute a Spearman’s rank correlation to determine the degree of association between the two variables. Variable 1 Variable 2 101 87 129 89 133 84 147 79 156 70 179 64 183 67 190 71
Use the Friedman test to determine whether the treatment groups come from diff erent populations. Let alpha be 0.05. Block Group 1 Group 2 Group 3 Group 4 1 16 14 15 17 2 8659 3 19 17 13 18 4 24 26
Use the Kruskal–Wallis test and 0.01 to determine whether the four groups come from diff erent populations. Group 1 Group 2 Group 3 Group 4 6 4 31 11 13 7 4 8 6 75 10 8 56 13 12 10 9 7 9 86 10
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a signifi cant diff erence between the related populations represented by the matched pairs given here. Assume 0.05.
Use the Mann–Whitney U test and 0.01 to determine whether there is a signifi cant diff erence between the populations represented by the two samples given here. Sample 1 Sample 2 573 547 532 566
Use the runs test to determine whether the sample is random. Let alpha be 0.05. 11112222222111222 22222121221111222
Is there a correlation between the FTSE100 share index and the NASDAQ composite index? Shown below are the values for these two variables over a recent 11-month period. Compute a Spearman’s rank
Shown here are the net inward and outward foreign direct investment (from non-EU countries) as a percentage of GDP fi gures in Bulgaria as reported by Eurostat over an 11-year period. Use these data
Shown here are the average annual central bank discount rates over a 14-year period for the Euro-area and the United States, according to the International Monetary Fund. Compute a Spearman’s rank
Over a period of a few months, is there a strong correlation between the value of the British pound and the UK Government Bond Yield? Th e following data represent a sample of these quantities over a
Compute a Spearman’s rank correlation for the following data: xyxy 99 108 80 124 67 139 57 162 82 117 49 145 46 168 91 102
Th e data below 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 two variables. xyxy 4632 5813 8721 11
Compute a Spearman’s rank correlation for the following variables to determine the degree of association between the two variables: x y 23 201 41 259 37 234 29 240 25 231 17 209 33 229 41 246 40
Shown here is Minitab output for a Friedman test. Discuss the experimental design and the outcome of the experiment. Friedman Test: Observations versus Treatment Blocked by Block S = 13.71 DF = 4 P =
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
Does the confi guration of the working week have any impact on productivity? Th is question is raised by a researcher who wants to compare the traditional fi ve-day working week with a four-day
An experiment is undertaken to study the eff ects of four diff erent medical treatments on the recovery time for a medical disorder. Six doctors are involved in the study. One patient with the
Use the Friedman test and 0.05 to test the following data to determine whether there is a signifi cant difference between treatment level Block Treatment 1 2 3 4 5 9 12345678 a 29 32 31 38 35 33 33
Use the data below to test to determine whether there are any diff erences between treatment levels. Let 0.05. Block Treatment 1 2 3 4 5 12345 200 214 212 215 208 2 198 211 214 217 206 207 206 213
Do workers on diff erent shift s get diff erent amounts of sleep per week? Some people believe that shift workers who regularly work the night shift (12.00 a.m. to 8.00 a.m.) or aft ernoon shift
Europeans travel to various destinations during public holidays and for long weekend breaks. How long do people stay at these destinations? Does the length of stay diff er according to location?
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
Is there a diff erence in the amount of customers’ initial deposits when they open savings accounts according to geographic region of Italy? To test this question, an analyst selects savings and
Use the Kruskal–Wallis test to determine whether there is a signifi cant diff erence in the groups below. Use 0.05. Group 1 19 21 29 22 37 42 Group 2 30 38 35 24 29 Group 3 39 32 41 44 30 27 33
Use the Kruskal–Wallis test to determine whether groups 1 through 5 come from diff erent populations. Let 0.01. 2 3 4 5 157 165 219 286 197 188 197 257 243 215 175 204 243 259 235 174 214 231 250
Suppose 16 people in various industries are contacted in 2011 and asked to rate business conditions on several factors. Th e ratings of each person are tallied into a ‘business optimism’ score.
People’s attitudes towards big multinational companies change over time and probably are cyclical. Suppose the data below represent a survey of 20 adults taken in 2000 and again in 2012 in which
Most supermarkets have invested heavily in optical scanner systems to expedite customer checkout, increase checkout productivity, and improve product accountability. Th ese systems are not 100% eff
A corporation owns a chain of several hundred petrol stations across the European Union. Th e marketing director wants to test a proposed marketing campaign by running ads on some local television
Use the Wilcoxon matched-pairs signed rank test and 0.05 to analyse the before-and-aft er measurements given. Assume the underlying distributions are symmetrical.Before After 49 43 41 29 47 30 39
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a signifi cant diff erence between the two groups of related data given. Use 0.10. Assume the underlying distributions
Th e Land Registry of England and Wales reports that the median price of an existing single-family home in Teignbridge is £224,160 and the median price of an existing single-family home in East
Does the male stock market investor earn signifi cantly 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
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. Th e results follow. Use a Mann–Whitney U
According to a Rapleaf study of 30 million social networkers, more women are on social networks and on average have slightly more friends than men. Suppose you want to validate these results by
Th e data shown represent two random samples gathered from two populations. Is there suffi cient evidence in the data to determine whether the values of population 1 are signifi cantly larger than
Use the Mann–Whitney U test and the data below to determine whether there is a signifi cant diff erence between the values of group 1 and group 2. Let 0.05. Group 1 Group 2 15 23 17 14 26 24 11
Deloitte Touche Tohmatsu Limited’s (DTTL) Global Manufacturing Industry group conducted a global survey to explore consumer adoption of electric vehicles (EVs). Th e survey found that 69% of
Th e 2001 census found that more than 70% of the UK population had a religion. Suppose a researcher in your region conducts a similar poll and asks the same question with the result that of 64 people
A China Central Television survey showed that 45% of all Chinese people consider themselves happy. Suppose a researcher randomly samples 27 Chinese people and asks whether they are happy and that 15
A process produced good parts and defective parts. A sample of 60 parts was taken and inspected. Eight defective parts were found. Th e sequence of good and defective parts was analysed by using
Test the following sequence of observations by using the runs test and 0.05 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 M M N N N N N N N N
Test the following sequence of observations by using the runs test and 0.05 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
In the Financial database, is Average Yield independent of Type? Create a new dummy variable by assigning a 0 if a company’s average yield is less than 2 and a 1 otherwise. Use a chi-square test of
Use a chi-square test of independence to determine whether Control is independent of Service in the Hospital database. Comment on the results of this test.
In the Manufacturing database, is the Value of Industrial Shipments (a four-category variable) uniformly distributed across the database?
Th e Financial database contains seven diff erent types of companies. Th ese seven are denoted by the variable Type. Use a chi-square goodness-of-fi t test to determine whether the seven types of
Do men and women prefer the same colours of cars? That is, is sex independent of colour preference for cars? Suppose a study is undertaken to address this question. A random sample of men and women
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
Is the number of sports that a student currently regularly practices independent of the type of college or university being attended? Suppose students were randomly selected from three types of
A study by the Organization for Economic Cooperation and Development (OECD) found that the average annual hours actually worked per worker has decreased in most of Western Europe in the fi rst decade
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
According to Wikipedia, the distribution of market share for the top seven TV channels in the United Kingdom in a recent year was: BBC1 20.7%, ITV 16.4%, BBC2 6.9%, Channel Four 6.4%, Channel Five
Are random arrivals at a shoe store at the local shopping centre Poisson distributed? Suppose a shopping centre employee researches this question by gathering data for arrivals during one-minute
A researcher interviewed 2,067 people and asked whether they were the primary decision makers in the household when buying a new car last year. Two hundred and seven were men and had bought a new car
A local market sells six diff erent kinds of homemade biscuits during its monthly market in a number of diff erent stalls. Th e market manager is curious about whether sales of the six kinds of
Is a manufacturer’s geographic location independent of type of customer? Use the data below for companies with primarily industrial customers and companies with primarily retail customers to test
Use the chi-square contingency analysis to test to determine whether variable 1 is independent of variable 2. Use 5% level of signifi cance. Variable 2 12 23 21 Variable 1 8 17 20 7 11 18
Use a chi-square goodness-of-fi t test to determine whether the following observed frequencies are distributed the same as the expected frequencies. Let 0.01. Category fo Se -234569 1 214 206 235
A market research company conducted a survey of CEOs to investigate their perceptions about planned government changes to employer-sponsored pension schemes. CEOs were told that the employer
Th e Department for Communities and Local Government regularly releases Housing and Planning statistics on the United Kingdom dwelling stock. Th e contingency table below shows the distribution of
Is the transportation mode used to ship goods independent of type of industry? Suppose the following contingency table represents frequency counts of types of transportation used by the publishing
A group of 30-year-olds is interviewed to determine whether the type of music most listened to by people in their age category is independent of the geographic location of their residence. Use the
Use the contingency table below and the chi-square test of independence to determine whether social class is independent of number of children in a family. Let alpha 5 0.05. Number of Children Lower
Use the contingency table below to determine whether variable 1 is independent of variable 2. Let alpha 5 0.01. Variable 2 24 13 47 58 Variable 1 93 59 187 244
Use the contingency table below to test whether variable 1 is independent of variable 2. Let alpha 5 0.01. Variable 2 203 326 Variable 1 68 110
Cross-cultural training is rapidly becoming a popular way to prepare executives for foreign management positions within their company. Th is training includes such aspects as foreign language,
According to an extensive survey conducted for Business Marketing by Leo J. Shapiro & Associates, 66% of all computer companies are going to spend more on marketing this year than in previous years.
An emergency call service keeps records of emergency telephone calls. A study of 150 fi ve-minute time intervals resulted in the distribution of number of calls below. For example, during 18 of the
Th e general manager of a European football team believes the ages of purchasers of match tickets are normally distributed. Th e data on the following page represent the distribution of ages for a
Th e percentages below come from a national survey of the ages of online music shoppers. A local survey produced the observed values. Does the evidence in the observed data indicate that we should
In one survey, successful female entrepreneurs were asked to state their personal defi nition of success in terms of several categories from which they could select. Th irty-nine per cent responded
Use the chi-square goodness-of-fi t test to determine if the observed data below are normally distributed. Let a 5 0.05. What are your estimated mean and standard deviation? Category 10-under 20
Are the data below Poisson distributed? Use a 5 0.05 and the chi-square goodness-of-fi t test to answer this question. What is your estimated lambda? Number of Arrivals So 0 28 17 2 11 3 5
Use the following data and 0.01 to determine whether the observed frequencies represent a uniform distribution: Category So 12345678 19 17 14 18 19 21 18 18
Use a chi-square goodness-of-fi t test to determine whether the observed frequencies are distributed the same as the expected frequencies ( 0.05). Category 1 53 68 23456 37 42 32 33 28 22 18 10 15 8
Use the Energy database to forecast the 2010 price of automotive diesel by using simple exponential smoothing of previous automotive diesel data. Let 0.2 and 0.8. Compare the forecast with
Use decomposition on Carrots in the Agricultural database to determine the seasonal indexes. Th ese data actually represent 14 years of 12-month data. Do the seasonal indexes indicate the presence of
Use the Agricultural time-series database and the variable Green Beans to forecast the number of green beans for period 169 by using the following techniques:a. Five-period moving averageb. Simple
Shown below is the Excel output for a regression analysis to predict the number of business bankruptcy fi lings over a 16-year period by the number of consumer bankruptcy fi lings. How strong is the
Th e gross domestic product per capita in purchasing power parity for China for a period of 18 years, as reported by the United Nations’ World Development Indicators, are shown here. Use these data
Th e data shown here, from Statistics Sweden, show gross savings in equity and money market funds (millions of Swedish Krona, SEK). Use these data to develop a regression model to forecast the equity
Th e European Central Bank publishes data on offi cial reserve assets of the European central bank vis-à-vis extra euro area. Th e data below give the average yearly amounts of offi cial gold
Use both a linear and quadratic model to explore trends in the deseasonalized data from Problem 15.40. Which model seems to produce a better fi t of the data?
Use the seasonal indexes computed to deseasonalize the data in Problem 15.39.
Eurostat publishes data on the number of tourist nights for a large number of countries. Shown here are the number of tourist nights (in thousands) of tourists staying in Romania from the fi rst
Yahoo! UK & Ireland Finance web page publishes data on the FTSE 100 index prices. Given are the FTSE 100 index prices from May of 2009 through August of 2011. Th e FTSE is a share index of the
Shown here are the nominal eff ective exchange rates (NEERs) for the Euro area for the years 1990 through 2007 from the Eurostat Data website. Use the data to answer the following questions.a.
Given below are data on inward fl ows of foreign direct investment (FDI) from countries belonging to the Organization for Economic Cooperation and Development (OECD) and on the ratio of total trade

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