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MATB 344 - APPLIED STATISTICS Semester 2, Session 2004/2005 Lecturer: Abdul Rahim Ahmad Room No: BW-4-016 (College of IT) Tel: 89212020 ext.: 2345 Direct line phone: 89212345 Mobile : 019-3556164. Email: [email protected] Web site : http://metalab.uniten.edu.my/~abdrahim/matb344/ 1. Summary : Basic probability, continuous and discrete random variables, distribution functions and their applications, relationship between distributions, data descriptions, fundamental sampling distributions, single sample estimation and hypothesis testing , and simple linear regression and correlation. 2. Textbook: Mendenhall W. and Beaver R. J. and B.M.: Introduction to Probability and Statistics , Eleventh Edition, Duxbury Press, 2003. 3. Goals: At the end of the course, students should be able to identify the role that statistics can play in solving the real-world problems and to use any probability models and statistical methods for analysing data and drawing inferences. 4. Prerequisites (by Topics): Differential and integral Calculus 5. Evaluation: Assessment Type Mini Project Quizzes (5 of them) Midterm Final Exam Weightage 10 % 20% 20 % 50 % Date About week 5 or 6 Fortnightly about 4/2/2004 Formal Duration 4 – 6 weeks In class 1 ½ hours 2 ½ hours Homework problems (besides the list of selected problems in the weekly Plan on the next pages) might be assigned at the end of class meetings. Students are expected to do all the selected problems or the assigned problems. The instructors have the discretion to grade them or otherwise. 6. Academic Rules on Attendance (Extracted from ‘PERATURAN AKADEMIK, SARJANA MUDA,’, Uniten) Clause 8.1 A Student must attend at least 80% of the total number of class meetings (lecture and tutorial) that have been scheduled for the course. Clause 8.2 A student whose attendance is less than 80% of the total number of class meetings without reasons acceptable to the College/Central Dean, may be barred from attending subsequent classes or sitting for any assessment from then on. Page 1 7. Weekly Plan, Course Contents and Selected Problems Week 1 6/12/04 2 13/12/04 3 20/12/04 4 27/12/04 5 3/1/05 6 10/1/05 7 17/1/05 8 24/1/05 9 31/1/05 7/2/05 Sections Selected Problems from Text book Chapter 1: Describing Data with Graphs 1.1 Variables and Data 1.2 Types of Variables 1.3 Graphs for Categorical Data 1.4 Graphs for Quantitative Data 1.5 Relative Frequency Histograms 1.1-1.31 1.33, 1.49 2.1-2.35 Chapter 2: Describing Data with Numerical measures 2.1 Describing a set of Data with Numerical Measures 2.2 Measures of Center 2.3 Measures of Variability 2.4 2.5 2.6 2.7 On the Practical Significance of the Standard Deviation A Check on the Calculation of s Measures of Relative Standing The Five-Number Summary and the Box Plot Chapter 4: Probability and Probability Distributions 4.1 4.2 4.3 4.5 The Role of probability in Statistics Events and The Sample Space Calculating Probabilities Using Simple Events Event Relation and Probability Rules 4.6 Conditional Probability, Independence , and the Multiplicative Rule 4.8 Discrete Random Variables and Their Probability Distributions Chapter 5: Several Useful Discrete Distributions 5.1 5.2 Introduction The Binomial Probability Distribution 5.3 The Poisson Probability Distribution Chapter 6: The Normal Probability Distribution 6.1 Probability Distributions for Continuous Random Variables. 6.2 The Normal Probability Distribution 6.3 Tabulated Areas of the Normal Probability Distribution 6.4 The Normal Approximation to the Binomial Probability Distribution Chapter 7: Sampling Distributions 7.1 Introduction 7.3 Statistics and Sampling Distributions 7.4 The Central Limit Theorem 7.5 The Sampling Distribution of the Sample Mean Semester Break Page 2 2.39, 2.43, 2.47, 2.51, 2.55, 2.61 4.1-4.16 4.40-4.64 4.76-4.95, 4.97, 4.101, 4.105, 4.109, 4.113, 4.117, 4.121, 4.125 5.1-5.26 5.29-5.38, 5.51, 5.55, 5.59, 5.61, 5.65, 5.69 6.1-6.29 6.31-6.39 7.13-7.26 10 14/2/05 11 21/2/05 Chapter 8: Large-Sample Estimation 8.1 8.2 8.3 8.4 8.5 Where We’ve Been Where We’re Going – Statistical Inference Types of Estimators Point Estimation Interval Estimation 8.8 One-Sided Confidence Bounds 8.9 Choosing the Sample Size 8.53-8.54, 8.56, 8.65, 8.71, 8.83 Chapter 9: Large-Sample Tests of Hypotheses 9.1 Testing Hypotheses About Population Parameters 12 28/2/05 8.1-8.12 9.2 A Statistical Test of Hypothesis 9.3 A Large-Sample Test of a Population Mean 9.7 Some Comments on Testing Hypotheses 9.1-9.7 9.9, 9.11, 9.13 13 7/3/05 Chapter 10: Inference From Small Samples 10.1 Introduction 10.2 Student’s t Distribution 10.3 Small-Sample Inferences Concerning a Population Mean 10.1-10.5 10.7, 10.9, 10.11, 10.13 14 14/3/05 Chapter 12: Linear Regression and Correlation 12.1 Introduction 12.2 A Simple Linear Probabilistic Model 12.3 The Method of Least Squares 12.8 Correlation Analysis 12.32-12.37, 12.39, 12.43 15 21/3/05 Revision week 28/3/05 Examination week 4/4/05 Examination week Page 3