Confidence Intervals for a Population Mean

Overview

This course covers the learning outcomes and goals of understanding confidence intervals for a population mean. Students will learn how to derive and interpret confidence intervals using both the Z (sigma known) and t (sigma unknown) methods. The course also teaches how to find the minimum sample size required. The teaching method includes theoretical explanations, practical examples, and discussions on the assumptions of the procedures. This course is intended for learners interested in statistics, data analysis, or research methods.

Syllabus

Introduction to Confidence Intervals.
Deriving a Confidence Interval for the Mean (The Rationale Behind the Confidence Interval Formula).
Intro to Confidence Intervals for One Mean (Sigma Known).
Finding the Appropriate z Value for the Confidence Interval Formula (Using a Table).
Confidence Intervals for One Mean: Interpreting the Interval.
What Factors Affect the Margin of Error? (In a Confidence Interval for One Mean).
Confidence Intervals for One Mean: Sigma Not Known (t Method).
Introduction to the t Distribution (non-technical).
Confidence Intervals for One Mean: Determining the Required Sample Size.
Confidence Intervals for One Mean: Investigating the Normality Assumption.