How do I interpret a negative confidence interval when comparing two population means?
For example, a confidence interval is $(-23.11, -1.02)$, what is the significance of these values being negative? Is it strictly signifying that $\bar{x}_1 < \bar{x}_2$ ?
Best Answer
You should write your hypothesis first :)
But I guess your hyp was x_1 >= x_2 ? Then we can say that we are (1-alfa)% confident that the difference between the true mean of x_1 and x_2 is between (−23.11,−1.02)