Download OU B.Sc 2016 April 3rd Year 5027E Statistics Question Paper

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Time : 3 hours Max. Marks : 100

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Code No. 5027 / E

FACULTIES OF ARTS AND SCIENCE

B.A./B.Sc. III - Year Examination, March / April 2015

Subject : STATISTICS (Theory)

Paper -I

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Applied Statistics

Note : Answer all questions. Answer questions I to IV by choosing any two from each and any three from question V. All questions carry equal marks. Scientific calculators are allowed.

1. What is a sample survey? Discuss briefly the basic principles of a sample survey.
2. Derive the variances of sample mean in case of SRSR and SRSWR, compare and comment.
3. Describe the procedure of stratified random sampling. Which of the following two is an unbiased estimator of the population mean? State the variance of the unbiased estimator.

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4. Prove that systematic sampling will yield better results only if the units within the sample are homogeneous.
5. Explain the meaning of ‘Analysis of variance’ technique. State assumptions and applications of it.
6. Identify the given type of design and describe the analysis appropriate for this design:
7. Derive an expression to measure the efficiency of RBD relative to CRD.
8. Explain basic principles of experimentation. How far these principles are met in LSD discuss.

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9. Define a time series. Explain briefly the components of time series.
10. Explain functions and organization of NSSO.
11. What is an index number. Show that Fisher's index number is an ideal index number.
12. Fit a logistic curve y = K / (1 + e^-x) by the method of three selected points.
13. a) Explain price and income elasticities of demand.
    

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    b) Find the equilibrium price and quantity exchanged for the demand curve d = 250 - 3P² and supply curve S = P² + 2P.
14. a) Define a life table, complete life table, abridged life table.
    b) Fill the blanks in the following life table:

    Age x	lx	dx	px	Lx	Tx	ex
    30	1762227	-	-	-	27296632	-	-
    31	1758580	-	-	-	-	-	-

15. Define the term vital statistics. Describe the methods of collection of vital statistics.
16. Explain Pigou’s method for time series data.

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17. Write short notes on any three of the following :
    1. Random numbers method
    2. Missing plot techniques in LSD
    3. Cost of living index number
    4. CSO and its functionalities
    5. Death and birth rates

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