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ST.PIOUS X DEGREE & P.G COLLEGE FOR WOMEN B. Sc (M.S.Cs)- II Year, Semester-III     Pre Final Examination: 2019-2020 Subject: STATISTICS Paper-III: Statistical Methods              Time: 3 hr                                                                                                           Max. Marks: 80M SECTION - A Answer any Five questions :                                                                                    5 X 4 = 20 1. Show that correlation coefficient lies between -1 and +1 2. Explain correlation ratio. 3. Define partial and multiple correlation coefficients . 4. Define (i). Class and class frequency     (ii).Ultimate class frequency 5. Explain method of moments estimation. 6. Obtain consistent estimator for population mean µ and σ 2 in a normal population. 7. Obtain sufficient estimator for the parameter l of poison distribution.    8. Define point and interval estimation. SECTION - B Answer all 4 Questions:    

Subject: STATISTICS Paper-V: Sampling Theory, Time series, Index Numbers and Demand Analysi s Time: 3 hr                                                                                                       Max. Marks: 60 SECTION - A Answer any Five questions :                                                                         5 X 3 = 15 1. What are the advantages of sample survey over census survey. 2. In stratified random sampling optimum allocation, Prove that V(y st ) is minimum for fixed sample size n if   n i  is proportion to  N i S i . 3. Explain the methods of selecting simple random sample. 4. Obtain variance of stratified sample mean in optimum allocation. 5 . Explain trend component of time series. 6.   Explain ratio to moving average method for measuring seasonal variations. 7. Explain the concepts of base shifting, splicing. 8. Explain constant price elasticity of demand. SECTION - B Answer all 4 Questions: