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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.
- What is a sample survey? Discuss briefly the basic principles of a sample survey.
- Derive the variances of sample mean in case of SRSR and SRSWR, compare and comment.
- 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.
- Prove that systematic sampling will yield better results only if the units within the sample are homogeneous.
- Explain the meaning of ‘Analysis of variance’ technique. State assumptions and applications of it.
- Identify the given type of design and describe the analysis appropriate for this design:
- Derive an expression to measure the efficiency of RBD relative to CRD.
- Explain basic principles of experimentation. How far these principles are met in LSD discuss.
- Define a time series. Explain briefly the components of time series.
- Explain functions and organization of NSSO.
- What is an index number. Show that Fisher's index number is an ideal index number.
- Fit a logistic curve y = K / (1 + e-x) by the method of three selected points.
- 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. - 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 - - - - - - - Define the term vital statistics. Describe the methods of collection of vital statistics.
- Explain Pigou’s method for time series data.
- Write short notes on any three of the following :
- Random numbers method
- Missing plot techniques in LSD
- Cost of living index number
- CSO and its functionalities
- Death and birth rates
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