To learn about where students purchase textbooks, each student in a random sample of 200 students at a particular college was asked to select one of the following responses: campus bookstore, off-campus bookstore, purchased all books online, or used a combination of online and bookstore purchases.
Required:
1. How many variables are in the data set?
2. Is the data set categorical or numerical?
3. Would the purpose of the graphical display be to summarize the data distribution, to compare groups, or to investigate the relationship between two numerical variables?
Figure 2.2:
FIGURE 2.2 Choosing an appropriate graphical display Graphical Display Number of Variables Data Type Purpose Display Data Distribution Compare 2 or More Groups Bar Chart 1 Categorical Categorical Comparative Bar Chart Dotplot Comparative Dotplot Stem-and-Leaf Display 1 for two or more groups Display Data Distribution Compare 2 or More Groups 1 Numerical 1 for two or more groups Numerical Display Data Distribution Compare 2 Groups 1 Numerical Comparative Stem-and-Leaf Display 1 for two groups Numerical Display Data Distribution (Can also be used to compare groups, if done carefully) Histogram 1 Numerical Investigate Relationship Between 2 Numerical Variables Scatterplot 2 Numerical Time Series Plot 1, collected over time Numerical Investigate Trend Over Time
> An article in USA TODAY (October 19, 2010) describes a study of how young children learn. Sixty-four 18-monthold toddlers participated in the study. The toddlers were allowed to play in a lab equipped with toys, which also had a robot hidden behind a scr
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> The report “education Pays: how college Shapes lives” (trends.collegeboard.org/sites/default/files/education -pays-how-college-shapes-lives-report-022714.pdf, retrieved april 20, 2017) gave the following percentiles for annual earnings in 2011 for full-t
> The accompanying table gives the mean and standard deviation of reaction times (in seconds) for each of two different stimuli: Suppose your reaction time is 4.2 seconds for the first stimulus and 1.8 seconds for the second stimulus. Compared to other pe
> Fiber content (in grams per serving) and sugar content (in grams per serving) for 18 high-fiber cereals (www .consumerreports.com) are shown. Fiber Content Sugar Content a. Find the median, quartiles, and interquartile range for the fiber content data
> The report “Most licensed Drivers age 851: States” (www. bloomberg.com/graphics/best-and-worst/#most-licenseddrivers-age-85-plus-states, retrieved april 20, 2017) gives the percentage of drivers in each state and the D
> The accompanying data are a subset of data read from a graph in the paper “ladies First? a Field Study of Discrimination in coffee Shops” (Applied Economics, april 2008). The data are wait times (in seconds) between o
> The insurance institute for highway Safety (www.iihs.org, June 11, 2009) published data on repair costs for cars involved in different types of accidents. In one study, seven different 2009 models of mini- and micro-cars were driven at 6 miles per hour s
> Data on tipping percent for 20 restaurant tables, consistent with summary statistics given in the paper “beauty and the labor Market: evidence from restaurant Servers” (unpublished manuscript by Matt Parrett, 2007), ar
> The paper “caffeinated energy Drinks—a growing Problem” (Drug and Alcohol Dependence [2009]: 1–10) reported caffeine per ounce for 8 top-selling energy drinks and for 11 highcaffeine
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> Data on a customer satisfaction rating (called the APEAL rating) are given for each brand of car sold in the United States (USA TODAY, March 29, 2016). The APEAL rating is a score between 0 and 1,000, with higher values indicating greater satisfaction. C
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> Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric. The exam scores have a mean of 100 and the 16th percentile is 80. a. What is the 84th percentile? b. What is the approximate value of the standard deviation
> The mean reading speed of students completing a speed-reading course is 450 words per minute (wpm). If the standard deviation is 70 wpm, find the z-score associated with each of the following reading speeds. a. 320 wpm b. 475 wpm c. 420 wpm d.
> Suppose that the distribution of weekly water usage for single-family homes in a particular city is mound shaped and approximately symmetric. The mean is 1400 gallons, and the standard deviation is 300 gallons. a. What is the approximate value of the 16
> The mean number of text messages sent per month by customers of a cell phone service provider is 1650, and the standard deviation is 750. Find the z-score associated with each of the following numbers of text messages sent. a. 0 b. 10,000 c. 4500 d. 3
> The following data values are the 2014 per capita operating expenditures on public libraries for each of the 50 U.S. states and Washington, D.C. (from www.imls.gov /research-evaluation/data-collection/public-libraries-survey /explore-pls-data, retrieved
> Suppose that your younger sister is applying to college and has taken the SAT exam. She scored at the 83rd percentile on the verbal section of the test and at the 94th percentile on the math section. Because you have been studying statistics, she asks yo
> In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5000 fatal accidents. For these accidents, the mean speed was 42 mph and the standard deviation was 15 mph. A histogram revealed that the
> Suppose that your statistics professor returned your first midterm exam with only a z-score written on it. She also told you that a histogram of the scores was mound shaped and approximately symmetric. How would you interpret each of the following z-scor
> Explain why the following graphical display (similar to a graph that appeared in USA TODAY, September 17, 2009) is misleading. U.S. currency tainted by cocaine Among 234 U.S. bills from 17 large U.S. cities, percentage with cocaine traces: 90% FEDERA
> The paper “Study of the Flying ability of Rhynchophorus ferrugineus adults using a computer-Monitored Mill” (Bulletin of Entomological Research [2014]: 462–467) summarized data from a study of red pal
> The report “who borrows Most? bachelor’s Degree recipients with high levels of Student Debt” (trends .collegeboard.org/content/who-borrows-most-bachelors -degree-recipients-high-levels-student-debt-april-2010, retrieved april 20, 2017) included the follo
> The mean playing time for a large collection of compact discs is 35 minutes, and the standard deviation is 5 minutes. a. What value is 1 standard deviation above the mean? One standard deviation below the mean? What values are 2 standard deviations away
> A student took two national aptitude tests. The mean and standard deviation were 475 and 100, respectively, for the first test, and 30 and 8, respectively, for the second test. The student scored 625 on the first test and 45 on the second test. Use z-sco
> Refer to the data given in the previous exercise. a. Are there any outliers in the inflation-adjusted gross movie income data? If so, which data values are outliers? b. Construct a boxplot for the inflation-adjusted gross movie income data. c. For the
> The Bloomberg web site included the data in the accompanying table on the number of movies made by 25 Saturday Night Live cast members as of 2014 (www.bloomberg.com/graphics/best-and-worst/#top-grossing-saturday -night-live-alumni, retrieved april 20, 20
> The U.S. Department of Health and Human Services reported the estimated percentage of households with only wireless phone service (no landline) in 2014 for the 50 states and the District of Columbia (DC) (cdc.gov/nchs/data /nhis/earlyrelease/wireless_sta
> A graph similar to the one below appeared in the paper “Does the weight of the Dish influence our Perception of Food?” (Food Quality and Preference, [2011]: 753–756). The graph was constructed using d
> Like many people, dogs can also suffer from back problems. Animal researchers were interested in learning whether laser therapy after back surgery would shorten recovery time for dogs that needed back surgery (“lowlevel laser therapy re
> The article “the best—and worst—Places to be a working woman” (The Economist, graphic Detail for March 3, 2016) reported values of what it calls the glass-ceiling index, which is des
> The following two graphical displays are similar to ones that appeared in USA TODAY (June 1, 2009 and July 28, 2009). One is an appropriate representation and the other is not. For each of the two, explain why it is or is not drawn appropriately.
> The accompanying data are the percentage of babies born prematurely in 2014 for the 50 U.S. states and the District of Columbia (DC) (the henry J. Kaiser Family Foundation, kff.org/other/state-indicator/preterm-births-by -raceethnicity/, retrieved april
> The accompanying data are a subset of data read from a graph in the paper “ladies First? a Field Study of Discrimination in coffee Shops” (Applied Economics [april, 2008]). The data are the waiting time (in seconds) be
> The accompanying data are median ages for residents of each of the 50 U.S. states and the District of Columbia (DC) in 2014 (the Statistics Portal, retrieved May 18, 2016 from www.statista.com/statistics/208048/median -age-of-population-in-the-usa-by-sta
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> The u.S. environmental Protection agency reported the following sulphur dioxide emissions (in tons) for the 48 states in the continental United States (www3.epa .gov/airmarkets/progress/reports/emissions_reductions_so2 .html#figure2, retrieved april 20,
> A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the following data on time (in seconds) to complete the escape (“oxygen consumption and ventilation During escape from an offshore Platform,&acir
> The following gasoline tax per gallon data for each of the 50 U.S. states and the District of Columbia (DC) in 2015 were obtained from the U.S. Energy Information Administration (www.eia.gov/tools/faqs/faq.cfm?id=10&t=10, retrieved April 17, 2017).
> The article “Fliers Trapped on Tarmac Push for Rules on Release” (USA TODAY, July 28, 2009) gave the following data for 17 airlines on the number of flights that were delayed on the tarmac for at least 3 hours for the
> An article about college loans (“New Rules Would Protect Students,” USA TODAY, June 16, 2010) reported the percentage of students who had defaulted on a student loan within 3 years of when they were scheduled to begin
> The article “Where College Students Buy Textbooks” (USA TODAY, October 14, 2010) gave data on where students purchased books. The accompanying frequency table summarizes data from a sample of 1152 full-time college stu
> To compare the amount of money men and women spent on their most recent haircut, each person in a sample of 20 women and each person in a sample of 20 men was asked how much was spent on his or her most recent haircut. Required: 1. How many variables a
> The state of California defines family income groups in terms of median county income as follows: Extremely low income: below 30% of county median income Very low income: between 30% and 50% of county median income Low income: between 50% and 80% of co
> The accompanying graphical display is from the Fall 2008 Census Enrollment Report at Cal Poly, San Luis Obispo. It uses both a pie chart and a segmented bar graph to summarize ethnicity data for students enrolled in Fall 2008. a. Use the information in
> To see if satisfaction level differs for airline passengers based on where they sit on the airplane, all passengers on a particular flight were surveyed at the end of the flight. Passengers were grouped based on whether they sat in an aisle seat, a middl
> To learn about how number of hours worked per week and number of hours spent watching television in a typical week are related, each person in a sample of size 40 was asked to keep a log of hours worked and hours spent watching television for one week. A
> To learn about credit card debt of students at a college, the financial aid office asks each student in a random sample of 75 students about his or her amount of credit card debt. Required: 1. How many variables are in the data set? 2. Is the data set c
> In a survey of 100 people who had recently purchased motorcycles, data on the following variables were recorded: Gender of purchaser Brand of motorcycle purchased Number of previous motorcycles owned by purchaser Telephone area code of purchaser Weight o
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> The following graphical display is similar to one that appeared in USA TODAY (August 3, 2009) and is meant to be a comparative bar graph. Do you think it is an effective summary of the data? If so, explain why. If not, explain why not and construct a dis
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> The graphical display at the top left of the next page is similar to one that appeared in USA TODAY (October 22, 2009). It summarizes survey responses to a question about visiting social networking sites while at work. Which of the graph types introduced
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> The accompanying comparative segmented bar charts are similar to ones appearing in the report “The Future of the First Amendment: 2014 Survey of High School Students and Teachers” (www.knightfoundation .org/future-firs
> The Center for Science in the Public Interest evaluated school cafeterias in 20 school districts across the United States. Each district was assigned a numerical score on the basis of rigor of food codes, frequency of food safety inspections, access to i
> The following display is similar to one that appeared in USA TODAY (June 29, 2009). It is meant to be a bar graph of responses to the question shown in the display. a. Is response to the question a categorical or numerical variable? b. Explain why a ba
> One cause of tennis elbow, a malady that strikes fear into the hearts of all serious tennis players, is the impact induced vibration of the racket-and-arm system at ball contact. The likelihood of getting tennis elbow depends on various properties of the
> The National Center for Education Statistics included the following data on the average cost per year for tuition, fees, and room and board for four-year public institutions in the United States (nces.ed.gov/fastfacts/display.asp?id=76, retrieved April 1
> Consumer Reports (www.consumerreports.org) rated 37 different models of laptops that were for sale in 2015. An overall score was assigned to each model based on considering a number of factors, including performance, portability, and battery life. Data o
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> Consumer Reports Health (www.consumerreports.org) gave the following data on saturated fat (in grams), sodium (in mg), and calories for 36 fast-food items. a. Construct a scatterplot using y 5 calories and x 5 fat. Does it look like there is a relations
> The accompanying data are the percentage of drivers who are uninsured in each of the 50 U.S. states and the District of Columbia (DC) as reported in the article “2015’s Most and Least Risky States for Driversâ
> The accompanying frequency distribution summarizes data on the number of times smokers attempted to quit before their final successful attempt (“Demographic Variables, Smoking Variables, and Outcome Across Five Studies,â€
> The accompanying data on annual maximum wind speed (in meters per second) in Hong Kong for each year in a 45-year period are from an article that appeared in the journal Renewable Energy (March 2007). Use the data to construct a histogram. Is the histogr
> The Bloomberg Visual Data web site included the following data on the total number of federal firearm background checks performed in 2014 and also the number of background checks per 1000 residents in 2014 for each of the 50 U.S. states (www.bloomberg.co
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> Example 2.9 provided data on seat belt use for each of the 50 U.S. states and the District of Columbia (“Traffic Safety Facts,” June, 2015, National Highway Traffic Safety Administration). The same report also gave dat
> Using the five class intervals 100 to ( 120, 120 to (140,…, 180 to , 200, construct a frequency distribution based on 70 observations whose histogram could be described as follows: a. symmetric b. bimodal c. positively skewed d. negatively skewed
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> Data on weekday exercise time for 20 males, consistent with summary quantities given in the paper “an ecological Momentary assessment of the Physical activity and Sedentary behaviour Patterns of university Students” (H
> Wikipedia gives the following data on percentage increase in population between 2010 and 2015 for the 50 U.S. states and the District of Columbia (DC) (en.wikipedia.org /wiki/List_of_U.S._states_by_population_growth_rate, retrieved October 16, 2016). Eac
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> The report “Seat Belt Use in 2014” (National Highway Traffic Safety Administration) included the estimated percentages of drivers who wear seat belts for the 50 states and the District of Columbia. In the accompanying
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> A report from Texas Transportation Institute (Texas A&M University System, 2005) titled “Congestion Reduction Strategies” included the following data on extra travel time during rush hour for very large and for lar
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> Box Office Mojo (www.boxofficemojo.com) tracks movie ticket sales. Ticket sales (in millions of dollars) for each of the top 20 movies in 2014 and 2015 are shown in the accompanying tables. Continue to next pages… Construct com
> An article in the San Luis Obispo New Times (February 4, 2016) reported the accompanying concussion rates for different high school sports. The given data are concussion rates per 10,000 athletes participating in high school sports in 2012. a. Construct
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> Heal the Bay is an environmental organization that releases an annual beach report card based on water quality (Heal the Bay Beach Report Card, www.beachreportcard.org, retrieved May 7, 2016). The grades for 20 beaches in three counties in Washington (Wh
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