Question

use the given confidence interval to find the margin of error and the sample mean. (6.37,11.21) 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 is $\bar{x}=\frac{\text{lower limit}+\text{upper limit}}{2}$.
Substitute the lower limit $6.37$ and upper limit $11.21$ into the formula: $\bar{x}=\frac{6.37 + 11.21}{2}$.
First, calculate the sum in the numerator: $6.37+11.21 = 17.58$.
Then divide by 2: $\bar{x}=\frac{17.58}{2}=8.79$.

Answer:

$8.79$