Semester III, Paper III model paper-2019


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 σ2 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:                                                                                            4 X 15 = 60  

 9. (a). Derive Spearman’s rank correlation coefficient. Obtain limits of rank correlation coefficient.                                                                  (OR)               
     (b). Define regression coefficients. State and prove its properties.


10. (a). Define consistency. What are the conditions of consistency for three attributes?                                                                           (OR)
      (b). Define Yule’s coefficient of association and colligation. Show that Q = 2Y/1+Y2


11. (a). (i). Define F- statistic. Explain properties and applications of F- distribution.
           (ii). Obtain relation between t and F distributions.                                                                                                                             (OR)               
      (b). Explain criteria of good estimator with examples.
           

12. (a). Obtain MLE for ‘µ’ and σ2 of normal population.
                                                            (OR)
(b). (i). Obtain 100(1-α)% confidence interval for ‘μ’ in a normal population when ‘σ’ is   unknown.
             (ii). Obtain 95% confidence interval for population mean.

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