Q.7 - The Practice of Statistics for AP

Question

NAEP scores Refer to Exercise 5. Below your sketch, choose one value of $x$ inside the shaded region and draw its corresponding confidence interval. Do the same for one value of $x$ outside the shaded region. What is the most important difference between these intervals? 

Step-by-Step Solution

Answer

The most important difference between these intervals 

Step 1: Given Information

Model drawing:

Step 2: Explanation

If the sample mean $\overline{x}$ lies in the shaded region, then the confidence interval will contain the true population mean $\mu$.