Course

Unit I

Estimation theory – Point Estimation – Introduction- criteria of point estimation, unbiasedness, consistency, sufficiency, and efficiency of various distributions, method of maximum likelihood estimation and method of moments – minimum risk estimators.

Unit II

Interval Estimation: Introduction – confidence Interval for mean of a Normal Distribution with Variance known and unknown – Confidence Interval for the two means of a Normal Distribution with Variance known and unknown, Confidence interval for one and two Population Proportions

Confidence interval for the variance and ratio of variances.

Unit III

Inference theory – introduction to hypothesis testing – large sample tests for single mean and two means – large sample tests for single proportion and two proportions.

Unit IV

Small sample tests for single mean and two means – paired t-test – test for single variance – test for equality of two variances.

Unit V

Chi-square goodness of fit for Binomial, Poisson and Normal distributions, Independence of attributes, test for homogeneity, non-parametric tests – sign test, signed rank test and Mann- Whitney U test.

Course Outcome

TEXTBOOKS:

1. Douglas Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005
2. Amir D Azcel, JayavelSounderpandian, Palanisamy Saravanan and Rohit Joshi, Complete Business Statistics, 7th edition McGrawHill education
3. Ronald Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition, Pearson Education Asia, 2007.

REFERENCE BOOKS:

1. Ross M., Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press.
2. Ravichandran, Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.