Course

Unit I

Tests of Hypotheses for a Single Sample- Tests of Statistical Hypotheses, One-Sided and Two-Sided Hypotheses, P-Values in Hypothesis Tests, General Procedure for Hypothesis Tests, Tests on the Mean of a Normal Distribution, Variance Known- Tests on the Mean of a Normal Distribution, Variance Unknown- Tests on the Variance and Standard Deviation of a Normal Distribution.

Unit II

Statistical Inference for Two Samples -Inference on the Difference in Means of Two Normal Distributions, Variances Known- Inference on the Difference in Means of two Normal Distributions, Variances Unknown- Paired t-Test- Inference on the Variances of Two Normal Distributions.

Unit III

Goodness of Fit Tests –Distribution based Fitting- Categorical Data Analysis – Tests of Independence in Contingency Tables. Nonparametric Procedures -The Sign Test, The Wilcoxon Signed-Rank Test

Unit IV

Design and Analysis of Single-Factor Experiments: The Analysis of Variance Designing Engineering Experiments, Completely Randomized Single-Factor Experiment, The Random-Effects Model, Randomized Complete Block Design. Latin Square Design.

Unit V

Design of Experiments with Several Factors-Introduction, Factorial Experiments, Two Factor Factorial Experiments, General Factorial Experiments, 2k Factorial Designs.

Course Outcomes:

CO1: To understand the concept of testing of hypothesis of various parameters using single

sample and apply to engineering, science, and business problems.

CO2: To understand statistical inference for two samples and apply to engineering, science

and business problems.

CO3: To know to apply goodness of fit test and nonparametric tests

CO4: To develop experiments and analyse the variance to conclude on the parameters of the

population involved.

CO5: To construct factorial experiments and to use for various real time problems.

Text Books /Reference Books:

1. Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, (2005) John Wiley and Sons Inc.
2. Sheldon. M. Ross : Probability and Statistics for Engineers and Scientists , MaGrawHill , 2004.
3. Amir D Aczel, Soundarapandian Jayavel, Complete Business statistics, Boston : McGraw-Hill/Irwin, 2009
4. Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.
5. Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition, Pearson Education Asia, 2007.