Probability & Statistics for Engineers II



Probability & Statistics for Engineers II


Course Outline: Hypothesis Testing: Tests Concerning the Mean of a Normal Population, Testing the Equality of Means of Two Normal Populations, Hypothesis Tests Concerning the Variance of a Normal Population, Hypothesis Tests in Bernoulli Populations and Tests Concerning the Mean of a Poisson Distribution. Regression and Correlation Analysis: Least Squares Estimators of the Regression Parameters, Distribution of the Estimators, Statistical Inference about the Regression Parameters, Coefficient of Determination and Sample Correlation Coefficient, Analysis of Residuals, Transforming to Linearity, Weighted Least Squares, Polynomial Regression, Multiple Linear Regression, Logistic Regression Models for Binary Output Data and Correlation Analysis. Analysis of Variance: One-way Analysis of Variance, Two-Factor Analysis of Variance: Introduction and Parameter Estimation, Testing Hypotheses and Two-way Analysis of Variance with Interaction Problems. Goodness of Fit Tests and Categorical Data Analysis: Goodness of Fit Tests when All Parameters are Specified, Goodness of Fit Tests when All Parameters are Unspecified, Tests of Independence in Contingency Tables, Tests of Independence in Contingency Tables Having Fixed Marginal Totals and Kolmogorov-Smirnov Goodness of Fit Test for Continuous Data. Nonparametric Hypothesis Tests: Sign Test, Signed Ranked Test, Two-Sample Problem and Runs Tests for Randomness. Quality Control: Control Charts for Average Values, The X-Control Chart, S-Control Charts, and Control Charts for the Fraction Defective, Control Charts for Number of Defects and Other Control Charts for Detecting Changes in the Population Mean.