Islamic University of Gaza Statistics and Probability for Engineers ENCV 6310 Instructor: Dr. Essam Almasri emasry@iugaza.edu.ps, Class Time: 201: Sunday 3:00 – 6:00 (L307) Office Hours: Sat/Mon/Wed: 10-11 Sun/Tue : 11-1 Topics: Revision - Introduction (Ch1) o Concept of variability o Types of data o Levels of measurements o Misuse of statistics o Types of models o Types of experiments Revision - Probability o Sample Space and events o Interpretations of Probability o Addition rules o Conditional Probability o Multiplication and Total Probability Rules o Independence Revision - Data summarizing and description (Ch6) o Importance of data summary o Important parameters o Frequency distribution and histograms o Box plots o Time series plots Discrete Random Variables Probability Distributions (Ch3) o Discrete random variables o Probability mass functions o Summarizing parameters o Binomial distribution o Geometric distribution o Poisson distribution Continuous Random Variables Probability Distributions (Ch4) o Continuous random variables o Probability density functions o Summarizing parameters o Normal distribution o Exponential distribution o Lognormal distribution Estimation of Parameters (Ch 7) o Statistical inference o Random sampling o Properties of estimators o Sampling distributions Statistical Intervals (Ch8 Douglas, Ch6 Mario) o Confidence intervals o Confidence interval of the mean (known variance) o Confidence interval of mean (unknown variance) o Confidence interval of the variance Tests of Hypothesis and Statistical Inference (Ch9 Douglas, Ch7 Mario) o Test of hypothesis - general o Test of hypothesis on proportions o Test of hypothesis on the mean – variance known o Test of hypothesis on the mean – variance unknown o Test of hypothesis on variance Statistical Inference for Two Samples (Ch10) o Inference for the difference in means of two normal distribution o Paired t-test o F-test Correlations and Regressions (Ch11 Douglas, Ch9 Mario) o Empirical Models o Simple Linear Regression o Least Squares o Estimators o Hypothesis Tests in Simple Linear Regression o Confidence Intervals o Residual Analysis 395 o Coefficient of Determination o Correlation Analysis of Variance (Ch1 3 Douglas, Ch11 Mario) o One-way ANOVA o Two-way ANOVA Other Topics (non-parametric testing, etc.) Grading: 20 % Class work 20-30 % Midterm Exam 60-50 % Final Exam Text Book/programs: Applied Statistics and Probability for Engineers. Douglas C. Montgomery and George C. Runger , Third Edition. Elementary Statistics. Mario F Triola. Ninth Editions Microsoft Office Excel 2007