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A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 165 pounds with a margin of error of 8 pounds. Which of the following is not 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 165 pounds with a margin of error of 8 pounds. Which of the following is not a reasonable value for the true mean weight of the residents of the town?

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Solution

The mean weight found in the study is 165 pounds, and the margin of error is 8 pounds. This means that the true mean weight of the residents could reasonably be anywhere from 165 - 8 = 157 pounds to 165 + 8 = 173 pounds.

So, any value outside of this range (157 pounds to 173 pounds) would not be a reasonable value for the true mean weight of the residents of the town. For example, a value like 150 pounds or 180 pounds would not be reasonable based on the results of this study.

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