Download SGBAU BSc 2019 Summer 3rd Sem Statistics Question Paper

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B.Sc. Part-II (Semester-1II) Examination

3S : STATISTICS

Time : Three Hours] [Maximum Marks : 80

Note :— ALL questions are compulsory.

1. (A) Fill in the blanks : 2
   1. Testing of hypothesis is a decision problem.

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   2. In r x s contingency table, d.f. is _
   3. A method of “sample study™ relating to population is known as
   4. The study of birth, death, migration etc. is called
   (B) Choose the correct alternative : 2
   1. “Testing of hypothesis™ was initiated by :
      1. Karl Pearson
      2. R.A. Fisher

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      3. J. Neyman
      4. C.R. Rao
   2. Chi-square test is also called as :
      1. Normal test
      2. Parametric test

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      3. Non-parametric test
      4. Two tailed test
   3. Generally census in every country is conducted after years.
      1. Three
      2. Five

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      3. Ten
      4. Fifteen
   4. In life table terminology q_ : -
      1. £x+1 / ix
      2. £x+1 - £x

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      3. £x+1 / &%
      4. i / £x
   (C) Answer in ONE sentence each : 4
   1. What is meant by vital event ?
   2. Define parameters of population.

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   3. Who proposed the chi-square test for testing the goodness of fit ?
   4. What is Tx, in life table terminology ?
2. (A) Explain in brief present statistical system in India. 4 (B) State the important publications of banking and finance. 4 (C) Describe De facto method of census with its advantages and disadvantages. 4

   OR

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3. (Q) Explain the functions of CSO. 4 (R) Name the publication of agricultural statistics. 4
4. (A) Define vital statistics. Explain registration method of obtaining vital statistics with its demerits. 6 (B) What do you mean by standardization ? Explain indirect method of standardization of death with merits and demerits. 6

   OR

5. (P) What are various measures of mortality ? Explain CDR with its merits and demerits. 6 (Q) Explain specific death rates and define age SDR with its merits and demerits. 6
6. (A) What are the assumptions in the construction of life table ? Give the uses of life table. 6 (B) What are different measures of fertility ? Explain age SFR with its merits. 6

   OR

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7. (P) Prove that, in life table terminology : 6
   1. G nP =P P -F x+ x+2 x
   2. N Zlx-n. o \ n=|
      
   (Q) Explain N.R.R. in detail. Why N.R.R. is called as rate of replenishment of population ? 6

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8. (A) What do you mean by estimation ? Give the requisites of good estimator. 4 (B) Describe unbiased estimator with example. 4 (C) Distinguish between point estimation and interval estimation of a parameter. 4

   OR

9. (P) Explain simple and composite hypothesis with example. 4 (Q) Explain Type-I and Type-II error. 4 (R) Explain steps involved in testing of hypothesis. 4
10. (A) Explain the concept of random sample. 4 (B) Obtain sampling distribution of sum of Binomial variate. 4 (C) Describe the steps for drawing a random sample from normal distribution. 4

    OR

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11. (Q) Obtain sampling distribution of sum of Poisson variate. 4 (R) Give the procedure of drawing a random sample from Binomial distribution. 4
12. (A) Define chi-square variate with ‘n’ degrees of freedom and obtain its m.g.f. 4 (B) State and prove additive property of chi-square variate. 4 (C) Explain Yate’s correction factor in 2 = 2 contingency table and give corrected chi-square. 4

    OR

13. (P) State the conditions for validity of chi-square test. (Q) Explain chi-square test for testing goodness of fit. 4 (R) In 2 x 2 contingency table ‘ a b | | c d show that : (a+b)(c+d)(a+c)(b+d)

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