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Answer :
Final answer:
The true mean weight of the residents is likely to be between 161 and 181 pounds, as the study reported a mean of 171 pounds with a margin of error of 10 pounds.
Explanation:
To determine a reasonable value for the true mean weight, we need to include this margin of error in our calculations. The margin of error defines the range in which the true mean is expected to fall. The range is calculated by subtracting and adding the margin of error from the given mean weight. Therefore, the true mean weight of the residents is likely to be within 171 pounds ± 10 pounds. 161 pounds (171 - 10) is the lower boundary of the mean weight. 181 pounds (171 + 10) is the upper boundary of the mean weight. Therefore, the correct option is D) Between 161 & 181.
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