Lesson 3: Confidence Intervals for Two Means

Objectives

Upon completion of this lesson, you should be able to:

In this lesson, we derive confidence intervals for the difference in two population means, \(\mu_1-\mu_2\), under three circumstances:

  • when the populations are independent and normally distributed with a common variance \(\sigma^2\)
  • when the populations are independent and normally distributed with unequal variances
  • when the populations are dependent and normally distributed