STAT 200 Introduction to Statistics Name______________________________ Final Examination: Fall 2017 OL4/US2 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and work in this document. Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular when there are calculations involved you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation you have to cite the source and explain how you get the results. For example state the Excel function along with the required parameters when using Excel; describe x = 90 = 9.4722 +0.8747(90) = 88.1952 When x = 90 = 88.1952 20 Answer: (a) Source of Variation Sum of Squares (SS) Degrees of Freedom (df) Mean Square (MS) Factor (Between) 53.6 9 5.9555556 Error (Within) 499.45 190 2.628684 Total 553.05 199 N/A (b) Here test statistic F = 2.265603 This is calculated by F = SSW/ SSE Here dF (between groups) = 10 -1 = 9 MSW = SSW/ dF (Treatments) = 53.6/9 = 5.9556 DF(error) = 10 * (20 - 1) = 190 MSE = SSE/ dF(error) = (553.05 - 53.6)/ 190 = 2.6287 F = 5.9566/2.6287 = 2.2656 (c) P - value = FDIST (F- value 9 190) = 0.0197 (d) Here there is sufficient evidence to support the claim that the mean weight loss is the same for the 10 programs at the significance level of 0.05. Work for (a) (b) and (c): [...]
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