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SOLUTIONSMAT 167: StatisticsFinal ExamInstructor: Anthony TanbakuchiFall 2008Name:Computer / Seat Number:No books, notes, or friends.Show your work.You may use the attachedequation sheet, R, and a calculator. No other materials. If you choose to use R,write what you typed on the test. Using any other program or having any otherdocuments open on the computer will constitute cheating.You have until the end of class to finish the exam, manage your time wisely.If something is unclear quietly come up and ask me.If the question is legitimate I will inform the whole class.Express all final answers to 3 significant digits. Probabilities should be given as adecimal number unless a percent is requested. Circle final answers, ambiguous ormultiple answers will not be accepted. Show steps where appropriate.The exam consists of 21 questions for a total of 71 points on 14 pages.This Exam is being given under the guidelines of our institution’sCode of Academic Ethics. You are expected to respect those guidelines.Points Earned:out of 71 total pointsExam Score:
MAT 167: Statistics, Final ExamSOLUTIONS p. 1 of 14Solution:Exam Results:>summary( score )Min .1 stQu.MedianMean 3rd Qu.Max.44.3766.9074.6574.4687.6897.89>par (mfrow = c (1 ,2))>boxplot ( score ,main = ”Boxplotofexamscores ”)>h i s t ( score ,main = ”Histogramofexamscores ”)5060708090100Boxplot of exam scoresHistogram of exam scoresscoreFrequency40506070809001234Comparison of midterm average to final exam grades:>plot ( midterm ,f i n a l ,main = ”FinalExamvsMidtermAve Exam Grades ”)>cor . t e s t ( midterm ,f i n a l )Pearson'sproduct-momentc o r r e l a t i o ndata :midtermandf i n a lt = 7.4703 ,df = 13 ,p-value = 4.695 e-06a l t e r n a t i v ehypothesis :truec o r r e l a t i o ni snotequalto095percentconfidencei n t e r v a l :0.72090780.9668203sampleestimates :cor0.9005885>res= lm( f i n a l˜midterm )>resCall :lm( formula =f i n a l˜midterm )C o e f f i c i e n t s :( Intercept )midterm-45.0481.492>abline ( res )Instructor: Anthony TanbakuchiPoints earned:/ 0 points
MAT 167: Statistics, Final ExamSOLUTIONS p. 2 of 14●●●●●●●●●●●●●●●657075808590955060708090100Final Exam vs Midterm Ave Exam GradesmidtermfinalOverall Course Grades:>summary( score )Min .1 stQu.MedianMean 3rd Qu.Max.52.0072.0079.0077.5386.0097.00>par (mfrow = c (1 ,2))>boxplot ( score ,main = ”Boxplotofo v e r a l lcoursegrades ”)>h i s t ( score ,main = ”Histogramofo v e r a l lcoursegrades ”)60708090Boxplot of overall course gradesHistogram of overall course gradesscoreFrequency50607080901000123451. The following is a partial list of statistical methods that we have discussed:1. mean2. median3. mode4. standard deviation5. z-score6. percentile7. coefficient of variation8. scatter plotInstructor: Anthony TanbakuchiPoints earned:/ 0 points
MAT 167: Statistics, Final ExamSOLUTIONS p. 3 of 149. histogram10. pareto chart11. box plot12. normal-quantile plot13. confidence interval for a mean14. confidence interval for difference in means15. confidence interval for a proportion16. confidence interval for difference in pro-