Part 1: Probability Distributions

Probability Density Function

Cumulative Distribution Function

Normal Distribution

Standard Normal Distribution

How to Use Standard Normal Distribution

Another Example

Probability of Normal Distribution

Confidence Intervals (or Limits)

How to Determine Confidence Intervals

How to Estimate m and s

Sample Size

Transformations

Distribution of Sample Means

An Example of Normal Distribution

Central Limit Theory

Normal Distribution of Sample Means

Confidence Level for Sample Means

Confidence Level for Sample Means

An Example

An Example – cont.

Small Sampling Theory

Student’s t Distribution

How to Use t-Distribution

Slide 25

Hypothesis (Significance) Testing

Significance Tests

An Example

Null Hypothesis

Confidence and Significance

What Does It Mean 5% Significant?

One-Side and Two-Side Tests

Type-I and Type-II Errors

Significance Test of the Difference of Means

Slide 35

Significance Test of Variance

F-Distribution

F-Test

Slide 39

An Example on Test of Variance

Summary