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Duke STA 101 - Final Exam

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Statistics 101, Section 001: May 1, 2003Final ExamInstructions: Write your answers on the exam in the spaces after the questions. For maximum credit, show all work.You are permitted to use two sheets of notes, front and back. Any other form of aid is not permitted. If you need clarification on any part of the exam, contact Prof. Reiter.Provide the information requested below in the adjacent empty spaces.NAME (print): LAB TIME: .Honor Pledge: ``I have not given or received assistance on this exam while taking the exam.''SIGNATURE:Page Points Possible Score5 206 277 158 289 1510 1511 1512 24Total 1601QUESTIONS 1 – 7 REFER TO THE DATA SET DESCRIBED BELOWPsychologists are interested in measuring perception of risk, since it is an important component in any decision-making process. Carlstrom et al. (2000) asked 611 participants to provide a numerical value of risk for several activities using a scale from 0-100 (0 being no risk, and 100 being high risk). The participants were also asked questions to identify their world view. Participants are classified either as hierarchicalists (“Everyone has his/her place in society, and societal status is hierarchical”), individualists (“I control my environment and destiny”), or egalitarians (“I have little respect for any decisions not made by the group”). For this study, participants who were not classified in one of these groups were called “unclassifiable.”DESCRIPTION OF THE DATA========================The 611 participants in this study were recruited between 1997 and 1998 from five sources: UCLA psychology undergraduate classes, campus and community organizations, community and collegenewspaper advertisements, a paid consultant, and posted flyers. The following are five activities each of the participants were asked to rate on risk value:DOC: Work as a family physician in rural areaSWAT: Work as a member of a SWAT police teamPOOL: Swim in indoor public pool each weekendNUC: Live near nuclear power stationPLANE: Fly on commercial airplanes every monthOther variables in the data set include:Race 1 = Caucasian, 2 = African-American, 3 = Mexican-American, 4 = Taiwanese-American.Gender 0 = Female, 1 = Male.Age Age of participant.Worldview 0 = Unclassifiable, 1 = Individualist, 2 = Hierarchicalist, 3 = EgalitarianThere are no problems on this page. The next two pages display output from exploratory data analyses that you should use to answer exam questions. The questions begin on page 5.220 30 40 50 60 70 80 90Age of study participants Group Number of participants Women 385 Men 226 Caucasian 158 African-American 147 Mexican-American 140 Taiwanese-American 166 Unclassifiable 384 Individualist 51 Hierarchicalist 98 Egalitarian 78Distribution of NUC Distribution of SWAT Distribution of NUC minus SWAT0 10 20 30 40 50 60 70 80 90 1000 10 20 30 40 50 60 70 80 90 100-100 0 100Mean = 77.86, Mean = 72.25 Mean = 5.61Median = 90.00, Median = 80.00 Median = ? SD = 26.30 SD = 22.60 SD = 29.60Correlations among selected variablesDOC NUC PLANE POOL SWAT AGEDOC 1.0000 0.0372 0.1474 0.2844 0.0535 -0.0792NUC 1.0000 0.2540 0.2040 0.2682 -0.1390PLANE 1.0000 0.4121 0.1707 -0.0781POOL 1.0000 0.0878 -0.0332SWAT 1.0000 0.0141AGE 1.0000 42 rows not used due to missing values. 3Box plot of DOC by Gender Box plot of POOL by Gender Box plot of PLANE by GenderDOC01020304050607080901000 1genderPOOL01020304050607080901000 1genderPLANE01020304050607080901000 1gender Summaries for DOC Mean SD Women 23.15 22.65 Men 21.09 21.62 The statistics for POOL and PLANE are left out on purpose.Data on world views246 women are unclassifiable, 37 women are individualists, 64 women are hierarchicalists, and 38women are egalitarian.Contingency table of world view by raceUnclassifiable Individualist Hierarchicalist EgalitarianCaucasians 79 10 24 45 158African Americans111 10 16 10 147Mexican Americans91 9 35 5 140Taiwanese-Americans103 22 23 18 166384 51 98 78 611 There are no exam problems on this page. Exam problems begin on the next page.4EXAM PROBLEMS BEGIN HERE1. (2 points per part) For problems 1a and 1b, write numbers for each answer. Ranges (e.g., “between 64.3 and 68.5”) will receive no credit. For parts 1c-1e, circle the correct answer.a) Estimate the average age of the study participants. ____b) Estimate the percentage of people in the study under age 25. __ _ c) Circle the number that is closest to the SD of age: 1, 5, 15, 25, 35, 45.d) The study has no one under age 17. True False Cannot tell without more informatione) About 68% of the participants’ ages are within 1 SD of the average age. True False Cannot tell without more information2. (2 points per part). For 2a – 2d, circle the appropriate answer. For 2e, write a number for your answer. Ranges will receive no credit.a) Which one of the following three scatter plots portrays the relationship between NUC and SWAT most accurately. Circle the letter of the correct plot.The scatter plots were drawn by hand and so are hard to put up. But, one had a very strong correlation much bigger than 0.25. Another had absolutely zero correlation. The third had the right amount of correlation.b) Which variable has the strongest linear association with AGE in these data: DOC, NUC, PLANE, POOL, SWAT, Cannot tell without more informationc) When used as the predictor in a simple regression, which variable explains the most variation in PLANE scores in these data: DOC, NUC, POOL, SWAT, AGE, Cannot tell without more informationd) When using a simple regression with NUC as the outcome and AGE as the predictor, the typical deviation


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