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Al al-Bayt University Faculty of Science - Department of Mathematics (401235) Statistical Methods Text Book: Introduction to Mathematical Statistics, Robert V. Hogg and Allen T. Graig, Fourth Edition. Course Outline 1) Descriptive Statistics The meaning of statistics Some basic concepts 1. Population and Sample 2. Parameter and Statistic 2) Collection of Data Methods of collection of primary data 3) Presentation and Classification of Data Discrete and continuous random variables Frequency distributions Graphical representation Cumulative frequency distribution and ogives Tabulation of Data 4) Measures of Location and Dispersion Measures of location 1. The arithmetic mean 2. The median 3. The mode 4. Quartiles and percentiles Measures of dispersion 1. The range 2. The mean deviation 3. The variance and standard deviation 4. Skewness and kurtosis 5) Elements of Probability Theory Definitions of probability Probability of simple event Probability of composite event Addition rule Multiplication rule: conditional probability Bayes' Theorem 6) Random Variable and Probability Distribution Discrete random variable Expected value of a random variable (Function of R.V.) Continuous random variable Bernoulli probability distribution Binomial distribution The hypergeometric distribution Geometric distribution Poisson distribution Normal distribution 7) Elements of Sampling Theory Sampling with and without replacement Sampling distribution of the mean Standard error 8) Correlation and Regression Scatter diagram The coefficient of correlation Linear regression Fitting of linear regression (The method of least squares) 9) Statistical Inference Point estimation (Mean) Interval estimation (Mean) Testing of statistical hypothesis Assessment Assessment for this course will be based on home work, attendance, quizzes, two major exams and a comprehensive final exam, as in the following: Activity First Exam Second Exam Final Exam (Comprehensive) Total Points 25% 25% 50% 100% All exams are closed book. References: 1. Statistics, A first Course, John Freand, NJ. Prentice Hall 1999. 2. Probability and Statistics for Engineers, Miler & Frendi, NJ. Prentice Hall 2000. 3. Theory and Problems in Probability & Statistics, Murray R. Spiegel, John J. Schilles. NY Shaum's Outline series 2000. 4. Introduction to Statistics, Neil A. Weiss, NY Adisson Wesley 2001. 5. محمد صبحي أبو صالح،مقدمة في علم اإلحصاء