EXS_EX.2.2008Summer - SOLUTIONS MAT 167 Statistics Final...

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SOLUTIONS MAT 167: Statistics Final Exam Instructor: Anthony Tanbakuchi Summer 2008 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. Show your work in the space provided. If you choose to use R, write what you typed on the test or copy and paste your work into a word document labeling the question number it corresponds to. When you are done with the test print out the document and turn it in with the test. Be sure to save often on a memory stick just in case. 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 16 questions for a total of 80 points on 14 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 80 total points Exam Score:
MAT 167: Statistics, Final Exam SOLUTIONS p. 1 of 14 Solution: Exam Results: > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 32.50 55.62 77.50 70.91 88.75 96.25 > par (mfrow = c (1 , 2)) > boxplot ( score , main = ”Boxplot of exam scores ”) > h i s t ( score , main = ”Histogram of exam scores ”) 30 50 70 90 Boxplot of exam scores Histogram of exam scores score Frequency 30 50 70 90 0 1 2 3 4 5 Comparison of midterm to final exam grades: > plot ( midterm , f i n a l , main = ”Final Exam vs Midterm 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 = 4.3384 , df = 11 , p - value = 0.001178 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 : 0.4329907 0.9358031 sample estimates : cor 0.7944442 > 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 10.6426 0.9343 > abline ( res ) Instructor: Anthony Tanbakuchi Points earned: / 0 points
MAT 167: Statistics, Final Exam SOLUTIONS p. 2 of 14 50 60 70 80 90 100 30 50 70 90 Final Exam vs Midterm Exam Grades midterm final Overall Course Grades: > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 0.4497 0.5622 0.7874 0.7444 0.8807 0.9818 > 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 ”) 0.5 0.6 0.7 0.8 0.9 1.0 Boxplot of overall course grades Histogram of overall course grades score Frequency 0.4 0.6 0.8 1.0 0.0 1.0 2.0 3.0 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
MAT 167: Statistics, Final Exam SOLUTIONS p. 3 of 14 9. histogram 10. pareto chart 11. box plot 12. normal-quantile plot 13. confidence interval for a mean

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