Sampfinl98 - MSCI 3710 Sample Final Exam This exam contains...

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MSCI 3710 Sample Final Exam This exam contains 30 questions. However, your final may contain as many as 36 or even 40 questions. Use the sample only as guide to indicate the possible type of questions and the level of difficulty. The answer key is printed on a separate page at the end. The following information is to be used to answer questions 1 - 6. The editor for a sports magazine wanted to settle a debate among his friends over which of the two basketball teams, Lakers with Kareem, Magic and Worthy or Bulls with Jordan, Pipen, and Rodman was better in their prime. He asked 10 randomly chosen sportswriters to rate each team on a scale of 1- 10. The results of the ratings are shown below. Row Lakers Bulls Lak-Bul 1 9.8 9.3 0.5 2 9.5 9.7 -0.2 3 8.7 9.0 -0.3 4 9.0 8.7 0.3 5 9.4 9.0 0.4 6 10.0 8.9 1.1 7 9.4 9.5 -0.1 8 8.8 8.5 0.3 9 9.0 8.5 0.5 10 9.7 9.2 0.5 The results were analyzed by two North Texas undergraduates, each employing EXCEL but using different approaches. One student (incorrectly) used an independent samples approach (assuming equal variances) while the other used a dependent (paired) samples approach. The outputs generated by EXCEL are summarized below. t-Test: Paired Two Sample for Means Lakers Bulls Mean 9.33 9.03 Variance 0.19344 4 0.16233 3 Observations 10 10 Pearson Correlation 0.52104 7
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Hypothesized Mean Difference 0 df 9 t Stat 2.29341 2 P(T<=t) one-tail 0.02375 4 t Critical one-tail 1.83311 4 P(T<=t) two-tail 0.04750 9 t Critical two-tail 2.26215 9 t-Test: Two-Sample Assuming Equal Variances Lakers Bulls Mean 9.33 9.03 Variance 0.19344 4 0.16233 3 Observations 10 10 Pooled Variance 0.17788 9 Hypothesized Mean Difference 0 df 18 t Stat 1.59049 3 P(T<=t) one-tail 0.06456 7
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t Critical one-tail 1.73406 3 P(T<=t) two-tail 0.12913 3 t Critical two-tail 2.10092 4 1. To test the claim that there is no difference in the ratings of the two teams by knowledgeable sports fans, which of the following would be appropriate for the alternative hypothesis? A. μ L - μ B < 0 B. μ L - μ B > 0 C. μ L - μ B … 0 D. μ L < μ B E. μ L > μ B 2. What is the value of the appropriate test statistic using the independent samples approach? A. t* = 2.29 B. p* = .047 C. Z* = 0.300 D. t* = 1.59 E. p* = .13 3. What is the p-value of the test using the independent samples approach? A. p = .13 B. p = .422 C. p = . 047 D. p = .159 E. .1 < p < .70 4. What are the decision and conclusion using the independent samples approach if the significance level of the test is .05? A. Reject the null hypothesis, conclude there is evidence that the average rating of the Lakers is no different from that of the Bulls. B. Fail to reject the null hypothesis, conclude there is evidence that the
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average rating of the Lakers is different from that of the Bulls. C.
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This note was uploaded on 03/09/2011 for the course DSCI 3710 taught by Professor Dr.jay during the Spring '08 term at North Texas.

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Sampfinl98 - MSCI 3710 Sample Final Exam This exam contains...

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