Inference for Two Population Means

Overview

The course teaches students how to conduct inference for two population means using pooled-variance t tests, Welch t tests, and paired-difference t tests. The course aims to help learners understand when to use each method and how to calculate confidence intervals. The teaching method involves theoretical explanations followed by practical examples. This course is intended for individuals interested in statistics, hypothesis testing, and comparing means from two different populations.

Syllabus

Inference for Two Means: Introduction.
The Sampling Distribution of the Difference in Sample Means (X_1 bar - X_2 bar).
Pooled-Variance t Tests and Confidence Intervals: Introduction.
Pooled-Variance t Tests and Confidence Intervals: An Example.
Welch (Unpooled Variance) t Tests and Confidence Intervals: Introduction.
Welch (Unpooled Variance) t Tests and Confidence Intervals: An Example.
Pooled or Unpooled Variance t Tests and Confidence Intervals? (To Pool or not to Pool?).
An Introduction to Paired-Difference Procedures.