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:
Wk 15 Continuous Distribution (handout)