A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 163 pounds with a margin of error of 5 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town? 156 169.9 169.3 159.5

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Understand margin of error: Understand the concept of margin of error. The margin of error gives us a range in which the true mean is likely to fall. The study found the mean weight to be 163 pounds with a margin of error of 5 pounds. This means the true mean weight could be as low as 163 - 5 pounds or as high as 163 + 5 pounds.Calculate lower limit: Calculate the lower limit of the true mean weight. Lower limit = Mean weight - Margin of error Lower limit = 163 - 5 Lower limit = 158 poundsCalculate upper limit: Calculate the upper limit of the true mean weight. Upper limit = Mean weight + Margin of error Upper limit = 163 + 5 Upper limit = 168 poundsDetermine values in range: Determine which of the given values fall within the calculated range. The range of the true mean weight is from 158 to 168 pounds. Now we need to check which of the given values fall within this range: - 156 is below the lower limit. - 169.9 is above the upper limit. - 169.3 is above the upper limit. - 159.5 is within the range.Select reasonable value: Select the reasonable value for the true mean weight. Since 159.5 is the only value that falls within the range of 158 to 168 pounds, it is the reasonable value for the true mean weight of the residents of the town.

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