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#### Title-ELEMENTARY INFERENCE (Code-09050405)

 S.No. Contents of the topics Learning   Objectives Teaching Guidelines Methodology Time (Hour) 1 ·      Parameter and statistic ·      Sampling distribution and standard error of estimate ·      Point and interval estimation ·      Unbiasedness, Efficiency ·      Consistency and Suffciency Students will be able to understand  Study of basics of statistics Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 10 2 ·     Method of maximum likelihood estimation ·     Null and alternative hypotheses ·     Simple and composite hypotheses ·     Critical region, Level of significanace ·     One tailed and two tailed tests ·     Types of errors ·     Neyman-Pearson Lemma Students will be able to understand  Study of hypotheses and tests Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 15 3 ·     Testing and interval estimation of a single mean, ·     Single proportion ·     Difference between two means and two proportions ·     Fisher’s Z transformation Students will be able to understand  Study of means and proportions Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 12 4 ·     Definition of Chi-square statistic ·     Chi-square tests for goodness of fit and independence of attributes ·     Definition of Student’s ‘t’ and Snedcor’s F-statistics ·     Testing for the mean and variance of univariate normal distributions ·     Testing of equality of two means and two variances of two univariate normal distributions, ·     Related confidence intervals ·     Analysis of variance(ANOVA) for one-way and two-way classified data Students will be able to understand Study of chi-square tests Lecture should be effective so that student can grasp the topics easily Assignments/ seminars/ Class tests/ Presentations 12

Books Recommended:

1. M. Mood, F.A. Graybill and D.C. Boes, Introduction to the theory of Statistics, McGraw Hill, 1974.
2. M. Goon, M.K. Gupta, and B. Das Gupta, Fundamentals of Statistics, Vol-II.
3. V. Hogg and A.T. Craig, Introduction to Mathematical Statistics.
4. S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons,