Stat Theory Model QP 2014
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R.V.GOVT. ARTS COLLEGE DEPT. OF COMPUTER SCIENCE SBAOD - STATISTICAL METHODS AND THEIR APPLICATIONS-II MODEL EXAM – MARCH 2014 Time: 3 Hrs Max: 75 marks SECTION A – (10 X 2 = 20 MARKS) ANSWER ANY TEN QUESTIONS 1. Define random variable. 2. What are moments? 3. Define moment generating function. 4. What is meant by fitting of distribution? 5. Define normal distribution. 6. Explain the concept of tests of significance. 7. Mention any two uses of t- test. 8. What do you understand by scientific experiments? 9. Distinguish between one-way and two-way ANOVA. 10. What are non-parametric methods? 11. What are parametric tests? 12. What is sign test? SECTION B – (5 X 5 = 25 MARKS) ANSWER ANY FIVE QUESTIONS 13. State the properties of expectation of random variables. 14. Derive the moment generating function of poisson distribution and obtain the first two moments from it. 15. If Z is a standard normal random variable. Calculate a) P(-1≤Z≥1) b) P(Z≤1.645)and c) P(Z≥1.96) 16. Fit a poisson distribution for the following data No of Mistakes per page : 0 1 2 3 4 No of pages : 109 65 22 3 1 17. Explain Type I error and Type II error. 18. Distinguish between simple experiments and factorial experiments. 19. Make a comparison between the parametric and non- parametric methods. SECTION C – (3 X 10 = 30 MARKS) ANSWER ANY THREE QUESTIONS 20. State and prove Chebycheff inequality. 21. Derive the moment generating function of binomial distribution and obtain the mean and variance. 22. Explain the different types of ANOVA test.
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STAT QP
Transcript of Stat Theory Model QP 2014
R.V.GOVT. ARTS COLLEGEDEPT. OF COMPUTER SCIENCESBAOD - STATISTICAL METHODS AND THEIR APPLICATIONS-IIMODEL EXAM MARCH 2014Time: 3 Hrs Max: 75 marksSECTION A (10 X 2 = 20 MARKS)ANSWER ANY TEN QUESTIONS1. Define random variable.2. What are moments?3. Define moment generating function.4. What is meant by fitting of distribution?5. Define normal distribution.6. Explain the concept of tests of significance.7. Mention any two uses of t-test.8. What do you understand by scientific experiments?9. Distinguish between one-way and two-way ANOVA.10. What are non-parametric methods?11. What are parametric tests?12. What is sign test?
SECTION B (5 X 5 = 25 MARKS)ANSWER ANY FIVE QUESTIONS
13. State the properties of expectation of random variables.14. Derive the moment generating function of poisson distribution and obtain the first two moments from it.15. If Z is a standard normal random variable. Calculate a) P(-1Z1)b) P(Z1.645)andc) P(Z1.96)16. Fit a poisson distribution for the following dataNo of Mistakes per page : 0 1 2 3 4No of pages: 109 65 22 3 117. Explain Type I error and Type II error.18. Distinguish between simple experiments and factorial experiments.19. Make a comparison between the parametric and non-parametric methods.
SECTION C (3 X 10 = 30 MARKS)ANSWER ANY THREE QUESTIONS
20. State and prove Chebycheff inequality.21. Derive the moment generating function of binomial distribution and obtain the mean and variance.22. Explain the different types of ANOVA test.23. Describe Wilcoxons signed rank test by specifying appropriate hypothesis.24. Explain the followinga) Mann-Whitney testb) Sign test
