Math Teacher

In week 16, the following topics were discussed:

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

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

Wk 16 Estimating Parameters (handout)

Wk16 Tutorial 12

In week 15, the following topics were discussed:

1. Continuous Distribution – Expressed in terms of function, probability is found using integration, Expected Value E(X), Variance VAR(X)
2. 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
3. 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:

Wk 15 Continuous Distribution (handout)

Wk 15 Sampling Distribution (handout)

Wk 15 Tutorial 11

In week 14, the following topics were discussed:

1. Discrete Distribution – Expressed in the form of a table, Expected Value E(X), Variance VAR(X)
2. 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
3. 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:

wk14 Discrete Distribution (handout)

wk14 Speical Discrete Distribution (handout)

wk 14 Tutorial 9-10