Semester- V, Paper-V Model paper-2018

Model Paper
Subject: STATISTICS
              Paper-V: Applied Statistics            
Time: 3 hr                                                                                                      Max. Marks: 60
SECTION - A
Answer any Five questions:                                                                        5 X 3 = 15
1.Discuss briefly the basic principles of sample survey.
2. In stratified random sampling, optimum allocation, Prove that V(yst) is minimum if  ni  is proportion to Ni Si /  Ci
3. Explain the methods of selecting simple random sample.
4. In usual notations, prove that the systematic sample mean is more efficient than the mean of a simple random sample taken without replacement if S2wsy is greater than to S2.
5. What are the components of time series.
6. Explain additive model of time series.
7. Explain the concepts of base shifting, splicing.
8. Explain constant price elasticity of demand.

SECTION - B
Answer all 4 Questions:                                                                                3 X 15 = 45  
9.(a).Explain sampling and non-sampling errors.
                                                            (OR)
    (b).Distinguish between SRSWOR and SRSWR with examples. In SRSWOR, show that
            V(yn)= {(N-n)/Nn} S2
10.(a).(i).Explain the purpose of stratification in sample survey. Show that V(yn)R  is greater than to                            V(yst)prop in usual notations.    
           (ii).What is systematic sampling? Show that   V(ysys)=(nk-1/nk) (s2/n) [1+(n-1)].
(OR)
      (b)..How do you fit a modified exponential curve and Gompertz curve to a time series data.

11.(a).(i).What is cost of living index number? Explain the steps in the construction of cost of living
             index number.
          (ii).Explain consistency tests for index numbers.
(OR)
     (b).(i).Define demand, supply, equilibrium price. Describe demand and supply curves.
          (ii).Describe Leontief’s method of estimating price elasticity of demand for time series data.

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