statsdept

Subject: STATISTICS, Paper-VII Time: 3 hr                                                                                                    Max. Marks: 60M SECTION - A Answer any Five questions :                                                                                    5 X 3= 15 1.What do you understand by ANOVA technique? 2. State Cochran’s theorem. 3. Define yield and experimental error. 4. What is LSD? Give layout of LSD. 5. Define vital statistics. What are the sources of vital statistics? 6. Define Specific death rate and Age SDR. 7. What are the uses of life tables? 8. What are the functions of CSO? SECTION - B Answer all 3 Questions:                                                                                            3 X 15= 45   9. (a).What are the assumptions of ANOVA. Explain analysis of variance of One way                     classification.                                       (OR)      (b). Describe randomized

                 SECTION- A I. Answer any Five questions:                                                                      5*4=20M 1.     Define Bernoulli distribution.   Obtain Mean and Variance. 2.     Define discrete uniform distribution. Obtain Mean and Variance. 3.     State and prove additive property of Binomial distribution. 4.     Define Geometric distribution. Derive its moment generating function . 5.     Define Cauchy distribution, write its properties. 6.     Write chief characteristics of normal distribution. 7.     The mean and variance of a continuous uniform random variable ‘x’ are 1.5 and 0.75 respectively. Obtain the probability density function of ‘x’. 8.     Sate weak law of large numbers.   SECTION -B   II. Answer all questions:                                                                   4*15=60M 9(a). Define negative binomial distribution. Derive its mean and variance through        expectation.                        

                 SECTION- A I. Answer any Five questions:                                                                      5*4=20M 1.     Define Null and Alternative hypothesis. 2.     Write a short note on randomized and non randomized test functions. 3.     Define Type I and Type II errors. 4.     Define sample proportion and population proportion. Write test statistic for single  and difference of  proportions . 5.     Explain large sample test procedure for difference of standard deviations. 6.     Explain small sample test procedure for single mean. 7.     Define Nominal and Ratio scales. 8.     Write differences between parametric and non parametric methods. SECTION –B   II. Answer all questions:                                                                       4*15=60M 9(a). Define Most powerful test. State Neyman-Pearson Lemma. Obtain the most powerful               test for testing the mean µ = µ 0 against µ = µ 1 (µ > µ 0, µ