Download OU B.Sc 2019 June-July 4th Semester 3123 Statistics Question Paper

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Code No. 3123

FACULTY OF SCIENCE

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B.Sc. IV-Semester (CBCS) Examination, May / June 2019

Statistics

Paper - IV : Inference (DSC)

Time : 3 Hours

Max. Marks: 80

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PART — A (5 x 4 = 20 Marks)

(Short Answer Type)

Note: Answer any FIVE of the following questions.

1. Define Null and Alternative Hypothesis.
2. Define order Statistic.

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3. Explain Yate's correction for continuity.
4. Write the assumptions of t-test.
5. Define Run and Length of Run.
6. Define Non parametric test and write its advantages.

PART — B (4 x 15 = 60 Marks)

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(Essay Answer Type)

Note: Answer ALL questions.

1. (a) State and prove Neymann -Pearson Lemma. Explain its importance in testing the hypothesis.

   OR

   (b) Obtain Most powerful critical region for testing Ho: p=po Vs H1: p= for N(p, s^2) population.
2. (a) Explain the large sample procedure for testing the equality of two population standard deviations.

   OR

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   (b) (i) Explain Fisher's Z transformation. Explain its applications. (ii) Describe the large sample test procedure for equality of two proportions.
3. (a) (i) Describe chi-square test for testing goodness of fit. (ii) Derive the chi-square test for 2x2 contingency table.

   OR

   (b) (i) Explain the small sample t-test procedure for testing the equality of two population variances. (ii) Explain t-test of significance of single mean.
4. (a) (i) Explain Wald Wolfowitz run test for testing the equality of two population distribution functions. (ii) To determine the percentage of shrinkage of a synthetic fibre, tests were made at two different temperatures: lower temperature and higher temperature. The resulting data are given below:
   Low temperature: 4.7, 5.5, 4.7, 4.8, 4.1, 4.3, 3.6, 3.6, 3.9, 4.5, 4.4, 3.8
   

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   High temperature: 3.1, 4.2, 4.1, 4.4, 4.0, 3.5, 3.7, 2.0, 4.1, 5.3
   Use an appropriate non parametric test to test whether the percentage of shrinkage of synthetic fiber were made at two different temperature are equal or not.

   OR

   (b) (i) Explain Parametric tests Vs Non Parametric tests. (ii) Explain Mann-Whitney U-test procedure.

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