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EXS_EX.3.2009.Spring - SOLUTIONS MAT 167 Statistics Final...

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SOLUTIONS MAT 167: Statistics Final Exam Instructor: Anthony Tanbakuchi Spring 2009 Name: Computer / Seat Number: No books, notes, or friends. Show your work. You may use the attached equation 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 other documents 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 a decimal number unless a percent is requested. Circle final answers, ambiguous or multiple answers will not be accepted. Show steps where appropriate. The exam consists of 24 questions for a total of 71 points on 15 pages. This Exam is being given under the guidelines of our institution’s Code of Academic Ethics . You are expected to respect those guidelines. Points Earned: out of 71 total points Exam Score:
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MAT 167: Statistics, Final Exam SOLUTIONS p. 1 of 15 Solution: Exam Results: > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 22.54 78.87 84.51 78.11 92.25 100.00 > par (mfrow = c (1 , 2)) > boxplot ( score , main = ”Boxplot of exam scores ”) > h i s t ( score , main = ”Histogram of exam scores ”) 20 40 60 80 100 Boxplot of exam scores Histogram of exam scores score Frequency 20 40 60 80 100 0 2 4 6 8 Comparison of midterm average to final exam grades (for those who took the final): > plot ( midterm , f i n a l , main = ”Final Exam vs Midterm Ave Exam Grades ”) > cor . t e s t ( midterm , f i n a l ) Pearson ' s product - moment c o r r e l a t i o n data : midterm and f i n a l t = 3.1152 , df = 11 , p - value = 0.009834 a l t e r n a t i v e hypothesis : true c o r r e l a t i o n i s not equal to 0 95 percent confidence i n t e r v a l : 0.2145887 0.8971790 sample estimates : cor 0.684627 > res = lm( f i n a l ˜ midterm ) > res Call : lm( formula = f i n a l ˜ midterm ) C o e f f i c i e n t s : ( Intercept ) midterm 18.1968 0.7948 > abline ( res ) Instructor: Anthony Tanbakuchi Points earned: / 0 points
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MAT 167: Statistics, Final Exam SOLUTIONS p. 2 of 15 ●● ● ● 30 40 50 60 70 80 90 100 20 40 60 80 100 Final Exam vs Midterm Ave Exam Grades midterm final Overall Course Grades (for those who took the final): > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 36.70 80.20 82.50 80.78 93.90 98.50 > par (mfrow = c (1 , 2)) > boxplot ( score , main = ”Boxplot of o v e r a l l course grades ”) > h i s t ( score , main = ”Histogram of o v e r a l l course grades ”) 40 60 80 100 Boxplot of overall course grades Histogram of overall course grades score Frequency 30 50 70 90 0 1 2 3 4 5 6 1. The following is a partial list of statistical methods that we have discussed: 1. mean 2. median 3. mode 4. standard deviation 5. z-score 6. percentile 7. coefficient of variation 8. scatter plot Instructor: Anthony Tanbakuchi Points earned: / 0 points
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MAT 167: Statistics, Final Exam SOLUTIONS p. 3 of 15 9. histogram 10. pareto chart 11. box plot 12. normal-quantile plot 13. confidence interval for a mean 14. confidence interval for difference in means 15. confidence interval for a proportion
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