Step 1: Understand the definition of precision.
Precision refers to how close the repeated measurements of the same quantity are to each other, regardless of how close they are to the true value. It reflects the consistency or reproducibility of measurements.
Step 2: Understand the definition of accuracy.
Accuracy indicates how close a measured value is to the actual (true or accepted) value. It reflects the correctness of the measurement.
Step 3: Analyze Statement I.
Statement I says, "Precision refers to the closeness of various measurements for the same quantity." This is correct, as it matches the definition of precision.
Step 4: Analyze Statement II.
Statement II says, "Accuracy is the agreement of the obtained value with the known or true value of the quantity." This is also correct, as it aligns with the definition of accuracy.
Step 5: Conclusion.
Since both definitions are correct, both Statement I and Statement II are correct.