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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