EXS_EX.3.2008Spring

# EXS_EX.3.2008Spring - SOLUTIONS MAT 167 Statistics Final...

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SOLUTIONS MAT 167: Statistics Final Exam Instructor: Anthony Tanbakuchi Spring 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. 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. 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 12 questions for a total of 70 points on 11 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 70 total points Exam Score:

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MAT 167: Statistics, Final Exam SOLUTIONS p. 1 of 11 Solution: Spring 2008 results. > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 31.82 58.14 71.97 69.32 83.71 90.91 > par (mfrow = c (1 , 2)) > boxplot ( score , main = ”Boxplot of exam scores ”) > h i s t ( score , main = ”Histogram of exam scores ”) 30 40 50 60 70 80 90 Boxplot of exam scores Histogram of exam scores 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 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 16. confidence interval for difference in pro- portions 17. one sample mean test 18. two independent sample mean test 19. match pair test 20. one sample proportion test 21. two sample proportion test 22. test of homogeneity 23. test of independence 24. linear correlation coefficient & test 25. regression 26. 1-way ANOVA For each situation below, which method is most applicable? If it’s a hypothesis test, also state what the null and alternative hypothesis are . If it’s a graphical method, also describe what you would be looking for . If it’s a statistic, how susceptible to outliers is it? Instructor: Anthony Tanbakuchi Points earned: / 0 points
MAT 167: Statistics, Final Exam SOLUTIONS p. 2 of 11 (a) (2 points) Ten pairs of chicks were selected to test the effect of a vitamin supplement on early growth. The chicks in each pair were siblings of high birth weight. One chick in each pair was given the supplement and the other was not. After two weeks, the weight of each chick was recorded. The researcher would like to test the research hypothesis that

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