A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 179 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Question
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 179 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Solution
The true mean weight of the residents of the town could reasonably be any value within the range of 169 to 189 pounds. This is because the study found the mean weight to be 179 pounds, but there is a margin of error of 10 pounds. This means the true mean could be 10 pounds less than 179 (which is 169 pounds) or 10 pounds more than 179 (which is 189 pounds). So any value within this range could be a reasonable value for the true mean weight of the residents of the town.
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