Given the confidence interval (12.2, 14.8). Find the point estimate 𝑥̅.

Answer 1

The two ends of the confidence interval are both the same distance away from 𝑥̅. Knowing this we can find the point that is directly in-between these points.

To do that we would preform the following:

(14.8 + 12.2) / 2 = 13.8

Therefore 𝑥̅ = 13.8

Hope that helps!