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final_exam_S1_2006

# final_exam_S1_2006 - THE AUSTRALIAN NATIONAL UNIVERSITY...

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Page 1 of 12 THE AUSTRALIAN NATIONAL UNIVERSITY SCHOOL OF FINANCE AND APPLIED STATISTICS First Semester Examination Final, June 2006 QUANTITATIVE RESEARCH METHODS (STAT1008) Study Period: 15 minutes Time Allowed: 3 hours Permitted Material: Calculator, dictionary and 1 A4 page with notes on both sides Instructions to Candidates: Attempt ALL questions. Each question is of equal mark value. Start your solution to each question on a new page. To ensure full marks show all the steps in working out your solution. Marks may be deducted for failure to show appropriate calculations or formulae. Unless otherwise stated, use a significance level of 5%. Selected statistical tables are attached to the back of the examination paper.

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STAT1008 Quantitative Research Methods Final Examination Semester 1, 2006 Page 2 of 12 Question 1: 20 marks For each question below, choose the best answer from the options given. Write your answer in your answer booklet clearly indicating the question (i to xx), and your answer as the letter appropriate (A, B, C, or D). You will gain 1 mark for each correct answer. Marks will not be deducted for incorrect answers. (i) The Central Limit Theorem states that as a sample size becomes larger, the distribution of a. The sample mean becomes more normal b. The sample standard deviation becomes more normal c. The population mean becomes more normal d. None of the above. (ii) In a simple regression, the R-squared value is computed to be 87.2%. From this alone we can say a. The regression is an appropriate model for the data b. The regression is not an appropriate model for the data c. The residuals will be normally distributed. d. None of the above. (iii) The same two variables discussed in part (ii) (above) are used to compute a correlation coefficient. The absolute value of the correlation coefficient (to 3 decimal places) will be a. 0.872 b. 0.934 c. 0.966 d. 0.760 (iv) A scale of very poor, poor, average, good, very good has been used to assess the teaching methods of a lecturer. A regression is to be run using final exam result as the response, and teaching rating as a dummy variable. How many columns will be needed for the dummy variable coding? a. 1 b. 2 c. 3 d. 4 (v) Suppose Minitab gives a sample correlation between two variables as -0.955, with a p-value of 0.000. This means that a. The null hypothesis, ρ =0, would be rejected. b. The null hypothesis, ρ =0, would not be rejected. c. The response is dependent on the explanatory variable. d. 95.5% of the variation in the response is explained by the explanatory variable.
STAT1008 Quantitative Research Methods Final Examination Semester 1, 2006 Page 3 of 12 (vi) A researcher asks a group of university students to select their favourite method of assessment – open book examination, closed book examination, assignment, group work or other. In summarising this data, which would be the most appropriate graph to use?

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final_exam_S1_2006 - THE AUSTRALIAN NATIONAL UNIVERSITY...

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