Question

use the given confidence interval to find the margin of error and the sample mean. (13.2,19.8) the sample mean is . (type an integer or a decimal.)

Explanation:

Step1: Calculate the sample mean

The sample mean $\bar{x}$ is the midpoint of the confidence interval. The formula for the midpoint is $\bar{x}=\frac{\text{lower limit}+\text{upper limit}}{2}$.
Given the confidence interval $(13.2,19.8)$, we substitute the values into the formula: $\bar{x}=\frac{13.2 + 19.8}{2}$.
First, add the lower and upper limits: $13.2+19.8 = 33$.
Then, divide by 2: $\frac{33}{2}=16.5$.

Answer:

$16.5$