Answer:
A reasonable value for the true mean weight of the residents of the town should be within the margin of error of the calculated mean weight from the study, which is 197 pounds with a margin of error of 9 pounds. This means the actual mean weight is likely to fall within the range of 188 pounds (197 - 9) to 206 pounds (197 + 9). Among the given options:
- 209.7 is outside the range of 188-206 pounds, so it's not a reasonable value.
- 185 is outside the range and also seems unreasonably low given the study's findings.
- 189.5 is within the range of 188-206 pounds and is a reasonable value.
- 208.6 is outside the range, so it's not a reasonable value.
Therefore, the most reasonable value for the true mean weight of the residents of the town from the given options is 189.5 pounds.
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