AMS1303 Probability and Statistics

Prerequisite

Nil

Exclusion

STA1001 Mathematics and Statistics, STA2001 Statistical Analysis for Business, AMS1301 Foundations of Data Science

Module Description

This module provides students with the basic probability and statistical knowledge and skills needed to analyse and interpret data for practical applications. Topics are selected including descriptive statistics, probability theory and distributions, estimation, hypothesis testing and regression analysis. Applications to real-life problems are provided.

Module Intended Learning Outcomes (MILO)

Upon completion of this module, students should be able to: 
a. analyse data by using simple statistical measures and statistical graphs; 
b. understand the basic probability theory and distributions and apply them to business problems; 
c. understand the ideas of estimation and perform hypothesis tests in business problems; 
d. understand the basic theory of simple linear regression and multiple regression; and 
e. perform statistical analysis with computer software and/or interpret the computer output. 

Module Content

1. Descriptive statistics

1.1 Introduction to statistics
1.2 Measures of central tendency & dispersion
1.3 Graphical representations
1.4 Covariance and correlation coefficients

2. Probability theory

2.1 Sample space and events
2.2 Probability rules
2.3 Conditional probability and independence
2.4 Bayes’ theorem

3. Probability distributions

3.1 Expected value and standard deviation
3.2 Discrete probability distributions
3.3 Continuous probability distributions

4. Estimation

4.1 Point estimation
4.2 Sampling distribution
4.3 Confident intervals for means, proportions and variances
4.4 Selection of sample size

5. Hypothesis testing

5.1 Basic concepts
5.2 Type I and type II errors
5.3 Test for means, proportions and variances
5.4 ANOVA
5.5 Test for independence

6. Regression analysis

6.1 Simple linear regression
6.2 Multiple regression

Assessment Methods

1. Participation (5%)
2. Assignments (30%)
3. Test (15%)
4. Examination (50%)

Texts & References

1. Jacques, I. (2015). Mathematics for Economics and Business (8 th ed.). Pearson.
2. Keller, G. (2015). CTE Statistics for Management and Economics with Aplia (10 th ed.). Singapore: Cengage Learning Asia. *
3. Levin, D. M., Stephan, D., & Szabat, K. A. (2016). Statistics for Managers Using Microsoft Excel (8 rth ed.). Pearson.
4. Levin, R. I., & Rubin, D. S. (1998). Statistics for Management (7 th ed.). Upper Saddle River: Prentice Hall.