Question A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 173 pounds with a margin of error of 7 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?

The study provides a **mean weight** of **173 pounds** with a **margin of error** of **7 pounds**. The margin of error indicates the range within which the true mean weight of the residents is expected to lie with a certain level of confidence (commonly 95%). To determine the **reasonable range** for the true mean weight: 1. **Subtract the margin of error** from the estimated mean: \[ 173 \text{ pounds} - 7 \text{ pounds} = 166 \text{ pounds} \] 2. **Add the margin of error** to the estimated mean: \[ 173 \text{ pounds} + 7 \text{ pounds} = 180 \text{ pounds} \] Therefore, the **true mean weight** of the residents is likely to be **between 166 and 180 pounds**. **Example of a reasonable value:** - **170 pounds** falls within this range and is therefore a reasonable estimate for the true mean weight. **Values outside this range**, such as **160 pounds** or **185 pounds**, would not be considered reasonable based on the given margin of error. **Answer:** A true mean weight between 166 and 180 pounds is a reasonable value.