Download SGBAU BSc 2019 Summer 4th Sem Statistics Question Paper

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Time : Three Hours] [Maximum Marks : 80

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B.Sc. Part-I1 Semester—-IY Examination

STATISTICS

Note :— ALL questions are compulsory.

1. (A) Fill in the blanks : 2
   1. F-statistic was discovered by .
   2. The arrangement of data in accordance of occurrence of time is _ .

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   3. Price elasticity of demand is always
   4. In large sample test statistic is used to test the hypothesis.
2. (B) Choose the correct alternative : 2
   1. The range of F-variate is .
      1. —o to »
      2. 0tow

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      3. —octo0
      4. 0to1
   2. The general tendency of data to increase or decrease over long period of time is
      1. Cyclic variation
      2. Seasonal variation

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      3. Random fluctuation
      4. Trend
   3. The sign test is based on the theory of distribution.
      1. Normal
      2. Geometric

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      3. Binomial
      4. Exponential
   4. _ testis used to test equality of population variances.
      1. F

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      3. ¥*
      4. z
3. (C) Answer in one sentence : 4
   1. What is cyclic variation ?

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   2. What is large sample test ?
   3. What do you mean by luxuries ?
   4. What do you mean by index number ?

1. (A) Obtain the p.d.f. of student's t distribution. -+

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2. (B) Establish the relationship between t and F distributions. 4
3. (C) Explain F-test for testing equality of population variances. 4

OR

1. (P) Obtain p.d.f. of Snedecor's F distribution. 4
2. (Q) Establish the relationship between F and 2. 4

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3. (R) Explain t test for single mean. 4

1. (A) Explain the concept of bivariate normal distribution. 4
2. (B) State the applications of central limit theorem. 4
3. (C) Explain large sample test for difference of proportions. 4

OR

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1. (Q) Discuss large sample test lor difference of means.
2. (R) Explain large sample test for single sample proportion. 4

1. (A) Explain the concent of non-parametric tests. State the assumption of Non—parametric_ methods. O
2. (B) Discuss Run test. Obtair the distribution of number of odd and even runs. 6

OR

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1. (P) Explain order statistic with the help of example. State the advantages and disadvantages of non-parametric method 6
2. (Q) Discuss Kolmogorov Smimov Two sample test. 6

1. (A) Deine :
   1. Marshall Edgeworth price index number 4
   2. Dorbish-Bowley's price index number.

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2. (B) Show that Fisher's index number lies between Laspeyre's and Paasche's index numbers. 4
3. (C) Exglain cost of living index number state its uses. 4

OR

1. (P) Define :
   1. Paasche's index number
   2. Fisher's index number. 4

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2. (Q) Show that Fisher's index number satisiies time reversal test. 4
3. (R) Explain family budget method of obtaining cost of living index number. 4

1. (A) Define Trend and explain moving average method for measurzment of trend. 6
2. (B) Wha: do you mean by de-seasonalization of data ? Discuss simple average method for scasonal variations. 6

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OR

1. (P) Define time series. Describe mathematical models in time seriss. 6
2. (Q) Explain Ratio te trend method of obtaining seasonal indices. 6

1. (A) Definz :
   1. Complementary goods
   2. Equilibrium price 4

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2. (B) Discuss Pareto's law oi income distribution. 4
3. (C) Describe the term price elastcity of demand. 4

OR

1. (P) Define :
   1. Necessities and luxuries

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   2. Income elasticity. 4
2. (Q) Explain law of demand and supply 4
3. (R) Discuss cross elasticities of demand. 4

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