Math Teacher

Week 17 — Revision

Kwek Siew Wee — Tue, 10 Feb 2009 06:06:41 +0000

Please note the following:

The revision notes and exercise can be found below. All the best to your exam !)

Kwek Siew Wee — Tue, 10 Feb 2009 05:58:22 +0000

In week 16, the following topics were discussed:

Finding Confidence Interval of the mean
- use Normal Distribution if σ² is known
- use t Distribution if σ²is unknown

The materials used during lecture and tutorial lessons can be found below:

Kwek Siew Wee — Thu, 29 Jan 2009 06:39:32 +0000

In week 15, the following topics were discussed:

Continuous Distribution – Expressed in terms of function, probability is found using integration, Expected Value E(X), Variance VAR(X)
Special Distribution — Normal
- symmetrical bell shape curve
- 2 parameters (μ, σ²), where μ is the population mean, and σ is the population standard deviation
- to find the probability, we need to use the Standard Normal table Z ~ N(0,1) where Z = (X – μ)/σ
Sampling Distribution of the Mean
- distribution of all the sample mean, X bar
- If X ~ N(μ, σ²), then X bar ~ N(μ, σ²/n)
- to find the probability, we need to use the Standard Normal table Z ~ N(0,1) where Z = ( X bar – μ)/(σ/n)

The materials used during lecture and tutorial lessons can be found below:

Kwek Siew Wee — Thu, 29 Jan 2009 06:22:32 +0000

In week 14, the following topics were discussed:

Discrete Distribution – Expressed in the form of a table, Expected Value E(X), Variance VAR(X)
Special Distribution — Binomial
- 2 outcomes, namely success/failure
- 2 parameters (n, p), where n is the number of trials, p is the probability of success
Special Distribution — Poisson
- average number of outcome per time interval or per specified region
- 1 parameter (λ Lambda), where λ is the average number of outcome
- Note that λ value will need to be changed according to situations

The materials used during lecture and tutorial lessons can be found below:

Kwek Siew Wee — Fri, 16 Jan 2009 05:28:10 +0000

The common test timetable for wk 16/17 is attached below:

Kwek Siew Wee — Mon, 12 Jan 2009 05:32:08 +0000

In week 13, the following topics were discussed:

Probability (Addition and Multiplication Rules)
Conditional Probability
Descriptive Statistics
- Graph
- Measure of Location (Mean/Median/Mode)
- Measure of Dispersion (Range/Variance/Standard Deviation)
- Measure of Skewness (Symmetry/Positively Skewed/Negatively Skewed)

The materials used in lecture and tutorial lessons can be found below:

An interesting link for the assignment on probability puzzle: Game Show: Lets Make a Deal