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business
business statistics in practice
Business Statistics Plus Pearson Mylab Statistics With Pearson Etext 3rd Edition Norean R Sharpe ,Richard D De Veaux ,Paul Velleman - Solutions
=+c) Compare these distributions with a segmented bar graph.
=+b) Find the conditional distribution of Shopping Frequency within each age group.
=+a) Find the marginal distribution of Shopping Frequency.
=+46. Department store. A department store is planning its next advertising campaign. Since different publications are read by different market segments, they would like to know if they should be targeting specific age segments. The results of a marketing survey are summarized in the following
=+b) Write a brief description of the association between population groups and Ethnicity.
=+a) Compare the conditional distribution of Ethnicity for all three groups: the entire population, moviegoers, and ticket holders.
=+45. Moviegoers and ethnicity. The Motion Picture Association of America studies the ethnicity of moviegoers to understand changes in the demographics of moviegoers over time. Here are the numbers of moviegoers (in millions) classified as to whether they were Hispanic, AfricanAmerican,
=+b) Using side-by-side bar graphs, compare the proportions of the men and women who worked at or below minimum wage at each Age group. Write a couple of sentences summarizing what you see.
=+a) What percent of the women were ages 16–24?
=+44. Minimum wage workers. The U.S. Department of Labor(www.bls.gov) collects data on the number of U.S. workers who are employed at or below the minimum wage. Here is a table showing the number of hourly workers by Age and Sex and the number who were paid at or below the prevailing minimum
=+d) Write a few sentences describing the association between the sex of young respondents and their attitudes toward the importance of financial or professional success.
=+c) From this table, can you determine what percent of all women responding felt this way? Explain.
=+b) How does that compare with young men?
=+a) What percent of young women consider it very important or one of the most important things for them personally to be successful?
=+43. Being successful. In a random sample of U.S. adults surveyed in December 2011, Pew research asked how important it is “to you personally” to be successful in a highpaying career or profession. Here is a table reporting the responses. (Percentages may not add to 100% due to rounding.)
=+42. Poverty and region 2012. In 2012, the following data were reported by the U.S. Census Bureau. The data show the number of people (in thousands) living above and below the poverty line in each of the four regions of the United States. Based on these data do you think there is an association
=+41. Tattoos. A study by the University of Texas Southwestern Medical Center examined 626 people to see if there was an increased risk of contracting hepatitis C associated with having a tattoo. If the subject had a tattoo, researchers asked whether it had been done in a commercial tattoo
=+f) Compare the conditional distributions of the age groups across years. Write a couple of sentences summarizing what you see.
=+e) What percent of all frequent moviegoers in this period were people 60 years old and older who went to the movies in 2010?
=+d) What percent of frequent moviegoers in 2010 were people 60 years old and older?
=+c) What percent of all frequent moviegoers during this period were people between the ages of 18 and 24 who went to the movies in 2009?
=+b) What percent of the frequent moviegoers in 2011 were people between the ages of 12 and 39?
=+a) What percent of all frequent moviegoers during this period were people between the ages of 12 and 24?
=+40. Movie admissions 2011. The following table shows attendance data collected by the Motion Picture Association of America during the period 2009 to 2011. Figures are the number (in millions) of frequent moviegoers in each age group.Age 2–11 12–17 18–24 25–39 40–49 50–59 60+Frequent
=+f) Compare the conditional distributions of the ratings for films produced in 2008 or later to those produced from 2003 to 2008. Write a couple of sentences summarizing what you see.
=+e) What percent of all top 20 films produced from 2003 to 2007 were rated PG-13 or R/NC-17?
=+d) What percent of all top 20 films produced in 2008 or later were PG-13?
=+c) What percent of all top 20 films were PG-13 and came out in 2010?
=+b) What percent of all top 20 films in 2005 were G rated?
=+a) What percent of all these top 20 films are G rated?
=+39. Top-producing movies. The following table shows the Motion Picture Association of America (MPA; www.mpaa.org) ratings for the top 20 grossing films in the United States for each of the 10 years from 2003 to 2012. (Data are number of films.)Rating G PG PG-13 R/NC-17 Total Year 2012 0 6 12 2 20
=+d) Do you see evidence of an association between the Type of MBA program and the percentage of women students?If so, why do you believe this might be true?
=+c) What percent of Evening MBAs are women?
=+b) What percent of Two-Year MBAs are women?
=+a) What percent of all MBA students are women?
=+38. MBAs, part 2. The same university as in Exercise 37 reported the following data on the gender of their students in their two MBA programs.Type Two-Year Evening Total Sex Men 116 66 182 Women 48 38 86 Total 164 104 268
=+f) Do you think that origin of the MBA student is independent of the MBA program? Explain.
=+e) Obtain the column percentages and show the conditional distributions of origin by MBA Program.
=+d) What is the marginal distribution of origin?
=+c) What percent of the Evening MBAs were from North America?
=+b) What percent of the Two-Year MBAs were from North America?
=+a) What percent of all MBA students were from North America?
=+37. MBAs. A survey of the entering MBA students at a university in the United States classified the country of origin of the students, as seen in the table.MBA Program Two-Year MBA Evening MBA Total Origin Asia/Pacific Rim 31 33 64 Europe 5 0 5 Latin America 20 1 21 Middle East/Africa 5 5 10
=+d) Do you see any differences between the conditional distributions? Write a brief summary of what these data show about Internet use and its relationship to income.
=+c) Create a graph comparing the income distributions of those who compare prices with those who don’t.
=+b) Find the conditional distribution (in percentages)of income distribution for shoppers who do compare prices.
=+a) Find the conditional distribution (in percentages) of income distribution for those who do not compare prices on the Internet.
=+36. CyberShopping. It has become more common for shoppers to “comparison shop” using the Internet. Respondents to a Pew survey in 2013 who owned cell phones were asked whether they had, in the past 30 days, looked up the price of a product while they were in a store to see if they could get
=+d) Are Genre and Rating independent? Write a brief summary of what these data show about movie ratings and the relationship to the genre of the film.
=+c) Create a graph comparing the ratings for the four genres.
=+b) Find the conditional distribution (in percentages) of movie ratings for thriller/suspense films.
=+a) Find the conditional distribution (in percentages) of movie ratings for action/adventure films.
=+a board of parents who are members of the Classification and Ratings Administration (CARA). The board was created in response to outcries from parents in the 1960s for some kind of regulation of film content, and the first ratings were introduced in 1968. Here is information on the ratings of
=+35. Movie ratings. The movie ratings system is a voluntary system operated jointly by the Motion Picture Association of America (MPAA) and the National Association of Theatre Owners (NATO). The ratings themselves are given by
=+c) Have general and administrative costs grown as a percentage of total costs and expenses over this time period?
=+b) What percent of total costs and expenses were due to research and development in 2008? In 2012?
=+a) What percent of total costs and expenses were sales and marketing in 2008? In 2012?
=+34. Google financials, part 2. Google Inc. divides their total costs and expenses into five categories: Costs of Revenues, Research and Development, Sales and Marketing, General and Administrative, and Dept of Justice charges (amounts in $Millions).2008 2009 2010 2011 2012 Cost of Revenues $8612
=+d) How did the percent of homes sold in November change from 2009 to 2010?
=+c) What percent of all homes in these 10 months were sold in December?
=+b) What percent of all homes in these 10 months were sold in 2010?
=+a) What percent of all homes in these ten months were sold in October of 2009?
=+33. Real estate. The Greenville, South Carolina Real Estate Hub keeps track of home sales in their area. They reported that sales were down in 2010 by about 3.7% from the previous year. Here are the number of homes sold in Greenville for the last 5 months of 2009 and 2010:August September
=+g) What relationship, if any, do you see between the performance of a stock on a single day and its year-to-date performance?
=+f) Among those companies reporting a negative change in their stock price on October 24 over the prior day what percentage reported a positive change over the year to date?
=+e) Among those companies reporting a positive change in their stock price on October 24 over the prior day what percentage also reported a positive change over the year to date?
=+d) What percent of the companies reported a positive change in their stock price over one period and a negative change in the other period?
=+c) What percent of the companies reported a negative change in their stock price over both time periods?
=+b) What percent of the companies reported a positive change in their stock price over both time periods?
=+a) What percent of the companies reported a positive change in their stock price over the year to date?
=+32. Stock performance. The following table displays information for 470 of the S&P 500 stocks, on how their one-day change on October 24, 2011 (a day on which the S&P 500 index gained 1.23%) compared with their year to date change.Year to Date October 24, 2011 Positive Change Negative Change
=+g) Does this study present any evidence that this company should focus on selling to certain campus constituents?
=+f) What is the conditional distribution of the campus constituents among those very likely to buy the calendar?
=+e) What is the marginal distribution of the campus constituents?
=+d) Of the alumni, what percent are very likely to buy the calendar?
=+c) What percent of the respondents who are very likely to buy the calendar are alumni?
=+b) What percent of these respondents are very likely to buy the calendar?
=+a) What percent of all these respondents are alumni?
=+31. New product. A company started and managed by business students is selling campus calendars. The students have conducted a market survey with the various campus constituents to determine sales potential and identify which market segments should be targeted. (Should they advertise in the
=+e) Write a few sentences describing the association between employment type and country together with gender.
=+d) Among women from developing countries, what percent were not working?
=+c) From this table, can you determine what percent of all self-employed women are from developing countries?
=+b) What percent of women from developing countries were self-employed?
=+a) Are these column, row, or total percentages? How do you know?
=+30. Gender at work. According to the World Bank’s 2014 Gender at Work report, women are underrepresented in every type of employment, with greater gaps in developing countries. The following table shows percent distribution of employment type by country and gender.Developing Countries
=+a) Are these row or column percentages?b) Make an appropriate display of these data.c) Write a brief summary of this information.
=+29. Google financials. Google Inc. derives revenue from three major sources: advertising revenue from their websites, advertising revenue from the thousands of third-party websites that comprise the Google Network, and licensing and miscellaneous revenue. The following table shows the percentage
=+c) Write a few sentences describing what you have learned about attitudes toward acquiring power.
=+b) Make an appropriate display for the percentages.
=+a) List the errors you see in this display.
=+28. Importance of power. In the same survey as that discussed in Exercise 27, GfK Roper Consulting also asked “How important is having control over people and resources to you?” The percent who responded that it was of more than average importance are given in the following table:China
=+e) Write a few sentences describing what you have learned about attitudes toward acquiring wealth.
=+d) Make an appropriate display for the percentages.
=+c) How would you improve this display?
=+b) Is that the impression given by the display? Explain.
=+a) How much larger is the proportion of those who said acquiring wealth was important in India than in the United States?
=+27. Importance of wealth. GfK Roper Reports Worldwide surveyed people, asking them “How important is acquiring wealth to you?” The percent who responded that it was of more than average importance were: 71.9% China, 59.6%France, 76.1% India, 45.5% U.K., and 45.3% U.S. There were about 1500
=+Medals/capita # Countries Medals/capita # Countries 0 72 130 0 10 13 140 0 20 3 150 0 30 3 160 0 40 2 170 0 50 0 180 0 60 1 190 0 70 0 200 0 80 1 210 0 90 1 220 0 100 0 230 0 110 0 240 0 120 0 250 1
=+b) Can you find a way to organize the data so that the graph is more successful?
=+a) Try to make a display of these data. What problems do you encounter?
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