Question

question a study was commissioned to find the mean weight of the residents in a certain town. the study found the mean weight to be 161 pounds with a margin of error of 8 pounds. write a confidence interval for the true mean weight of the residents of the town. answer attempt 1 out of 2 (, ) submit answer

Explanation:

Step1: Recall confidence - interval formula

The confidence interval for the population mean $\mu$ is given by $\bar{x}-E<\mu <\bar{x} + E$, where $\bar{x}$ is the sample mean and $E$ is the margin of error.

Step2: Identify given values

We are given that $\bar{x}=161$ pounds (sample mean) and $E = 8$ pounds (margin of error).

Step3: Calculate lower and upper bounds

The lower - bound is $\bar{x}-E=161 - 8=153$ pounds. The upper - bound is $\bar{x}+E=161 + 8=169$ pounds.

Answer:

$(153,169)$