**Principles of Statistics (MATH 131)**

**Summer Semester 2018-2019**

**Course Description: This course is aimed at providing students with the basic methods and techniques of statistics and its applications. A variety of examples and exercises will be used to illustrate these techniques.**

**Textbook: Principles of Statistics, 4 ^{th} Edition, M. Raqab, A. Awad and M. Azzam, 2016, Academic for Publishing and Distributing Co (RAA). **

**References:**

**(1) Statistics: Principles and Methods, 3rd Edition, R. A. Johnson and G. K. Bhattacharyya, 1996.**

**(2) Statistical Concepts and Methods, G. K. Bhattacharyya and R. A. Johnson, 1977.**

**Course Outline (tentative):**

**1-Descriptive Statistics (RAA, Ch. 1): Distribution tables, histograms, distribution curves, measures of centrality and variability for raw and for grouped data, percentiles, coding data, empirical rule, Chebychev's inequality (3 weeks).**

**2-Elements of Probability (RAA, Ch. 2): Sample space and events, basic laws of probability, rules of counting; conditional probability, Bayes' Theorem (2 weeks). **

**3-Random Variables and Distributions (RAA, Ch. 3): Random variables, probability distribution, expectations and its properties, variances, bivariate random variables, covariances, binomial, hypergeometric, geometric, and Poisson distributions (2 weeks). **

**4-Normal Distribution (RAA, Ch. 4): Normal distribution, normal approximation to binomial distribution, distribution of the sample mean (1 week). **

**5-Sampling Distribution (RAA, Ch. 5): Sampling distribution of sample mean, Student t-distribution, sampling distribution of sample variance and proportion, the distribution of the difference between two sample means and sample proportions, the distribution of the ratio of two sample variances (1 week). **

**6-Statistical Inferences (Single Population)(RAA, Ch. 6 & 7): Null and alternative hypotheses, estimation and testing for mean, proportion, variance in a one-population, determination of sample sizes for estimating the mean and proportion (3 weeks).**

**6- Statistical Inferences (Two Populations)(RAA, Ch. 8): Estimation and testing for the difference in means, proportions, ratio of variances, pair comparisons (2 weeks).**

**Grading: The exams will count toward the course grade as follows. **

** First Exam: 30%**

** Second Exam: 30%**

** Final Exam: 40%**

__Home Work Sets__**Statistical Tables**