determine the point estimate of the population mean and margin of error for the confidence interval. lower…

Explanation:

Step1: Calculate point - estimate of population mean

The point - estimate of the population mean $\mu$ for a confidence interval is the mid - point of the interval. The formula is $\mu=\frac{\text{Lower bound}+\text{Upper bound}}{2}$. $\mu=\frac{16 + 28}{2}$

Step2: Simplify the expression

$\mu=\frac{44}{2}=22$

Step3: Calculate margin of error

The margin of error $E$ is given by $E=\frac{\text{Upper bound}-\text{Lower bound}}{2}$. $E=\frac{28 - 16}{2}$

Step4: Simplify the margin of error expression

$E=\frac{12}{2}=6$

Answer:

The point estimate of the population mean is 22. The margin of error is 6.