STATISTICS FALL2013 - FINAL SAMPLE TEST 02 - Vietnam...

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Vietnam National University – HCMC INTERNATIONAL UNIVERSITY F INAL -T ERM E XAMINATION SAMPLE TEST 02 Student ID: Name: 1. INSTRUCTIONS 2. This is an open book examination. 3. Calculator and dictionary are allowed. 4. Discussion and material transfer are strictly prohibited. PART I : (Please answer on the QUESTION SHEET) The following data is using for the next 3 questions: Oil price in different area is given below: Area 1 Given that, SSE = 14.738, and SST = 21.903 1. Fulfill the ANOVA table and answer the following question: ANOVA Table Source Treatment Error Total 2. The critical point at α = 0.025 is: a. c. 3. Reject the null hypothesis that all the means are equal is: a. True b. False The following data is using for next 3 questions: An auto racing driver is given training and his timings on five different tracks are then measured. The times before and after training are given below. The differences are taken as before after. Page 1 of 7
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Vietnam National University – HCMC INTERNATIONAL UNIVERSITY 4. Compute the average difference, taking each difference as before after? a. c. 5. State the null hypothesis to test that the training was beneficial to this driver: a. H 0 : D = 0 c. H 0 : D ≥ 0 6. Was the training beneficial to this driver, at α = 0.01? a. Yes b. No 7. In a multiple regression analysis, MSE = 30, n = 24, k = 3, and SST = 2,000. What is the R 2 of the regression: a. 0.28 c. 0.685 8. In ANOVA, k = 5, n = 45, α = 0.01, the critical value is: a. c. 9. In ANOVA, k = 5, n = 45, α = 0.01, the degree of freedom that sum of square error has: a. 4 c. 40 10. Suppose that the average volume of a bottle is 333ml. A sample of 100 bottles are randomly selected with the the variance 169 ml 2 . What is the probability that the sample mean is in the range [330.4, 335.6] a. 0.955 c. Cannot compute (reason: ………………………..) Page 2 of 7
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Vietnam National University – HCMC Semester 01, Academic Year 2013 - 2014 INTERNATIONAL UNIVERSITY Course: Statistics for Business
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