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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