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.
Comments
Post a Comment