Final answer:
The most accurate scale is the one closest to the true value of 3.000 ounces, which is Scale 3. Without multiple measurements, we cannot conclusively determine which scale is the most precise, but Scale 3 also has a high potential for precision as indicated by its readout precision to the thousandth of an ounce.
Step-by-step explanation:
When discussing measures balance, precision refers to the consistency of repeated measurements, while accuracy refers to how close the measurements are to the true value. In the given question, a weight precisely measuring 3.000 ounces was used to test three different scales. To identify which scale is the most precise and which is the most accurate, we compare the measurements to the known true value (3.000 ounces).
Scale 1 showed a weight of 3.03 ounces, Scale 2 showed a weight of 2.00 ounces, and Scale 3 showed a weight of 3.014 ounces. The most accurate measurement is the one closest to the true value of 3.000 ounces, which in this case is Scale 3 since 3.014 is very close to 3.000. The most precise scale would have the least variation in its measurements, but since we only have a single measurement from each scale, we cannot determine which scale is the most precise. Typically, a scale readout with more decimal places implies potentially higher precision, so based on the information given, we could infer that Scale 3 might be the most precise as it has a measurement up to the thousandth of an ounce. However, in the absence of multiple measurements from each scale to assess consistency, precise judgment cannot be conclusively made.
Therefore, according to the information provided, the best conclusion we can draw aligns with answer option (J) Scale 3 is the most precise and Scale 3 is the most accurate.