Course

Unit I

Tests of Hypothesis for a Single Sample: Hypothesis Testing, Tests on a Population Proportion- Tests on the Mean of a Normal Distribution with Variance known and unknown, Tests on the variance –Test for Goodness of fit, Contingency table tests. Sections: 9.1-9.9

Unit II

Statistical Inference for Two Samples: Inference on the Difference in Means of Two Normal Distributions, Variance Known and Unknown , A nonparametric tests for difference in Two means, Paired t test, Inference on the variances of the Two Normal Distributions. Sections: 10.1-10.6

Unit III

Design of Experiments of Single Factor: Introduction, Completely Randomized Single Factor Experiment, computation of sum of squares, Random effect models, Randomized complete block design, computation of sum of squares. Sections: 13.1-13.4

Unit IV

Design of Experiment with several factors: Introduction – Latin Square Design – statistical model for LSD, computation of sum of squares – two factor factorial experiment – main and interaction effects, data and statistical model- computation of sum of squares. Sections : 14.1-14.5

Unit V

Statistical Quality Control: Quality improvement and statistics, Introduction to control limits – control charts for variables – X-bar chart, R-chart, S chart for individual observations- attribute control charts – Control charts for Proportions and for defects per unit. Sections : 15.1-15.6

Objectives: To enable students to

• Understand the concept of statistical inference of two samples
• Apply statistical techniques in quality control

Text books:

1. Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005

References:

2. Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8^th Edition, Pearson Education Asia, 2007
3. Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.