6. Confidence Intervals#
This chapter provides a comprehensive overview of confidence intervals, focusing on methods for estimating population parameters using sample data.
Chapter Outline:
Single Population Confidence Intervals: This section introduces the concept of confidence intervals, explaining how they are used to estimate population parameters.
Confidence Intervals for a Single Population Mean When σ is Known: Here, we cover techniques for constructing confidence intervals when the population standard deviation (σ) is known.
Understanding the t-Distribution: This section explains the t-distribution and its application in constructing confidence intervals, particularly when sample sizes are small.
Confidence Intervals for a Single Population Mean When σ is Unknown: We explore methods for estimating confidence intervals when the population standard deviation is unknown, utilizing the t-distribution.
Confidence Intervals for a Single Population Proportion: This section focuses on constructing confidence intervals for estimating population proportions, a common need in statistical analysis.
Table of contents:
- 6.1. Single Population Confidence Intervals
- 6.2. Confidence Intervals for a Single Population Mean When \(\sigma\) is Known
- 6.3. Understanding the t-Distribution
- 6.4. Confidence Intervals for a Single Population Mean When \(\sigma\) is Unknown
- 6.5. Confidence Intervals for a Single Population Proportion