Chapter 8.1, Problem 7E

To determine

Todraw:The confidence interval for a different values of $\overline{x}$ and see the difference between the intervals.

Explanation of Solution

Given Information:

Sample mean of the score $\overline{x}$ = 280

From the given information sample mean $\overline{x}$ = 280

The shaded region indicates that the mean $\overline{x}$ contains the true power.

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

The figure below shows the confidence interval for a different values of $\overline{x}$ outside and inside of the intervals.