Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

A score of 2.6 on a test with X = 5.0 and s = 1.6, along with a score of 48 on a test where X = 57 and s = 6, reflects the highest relative position. We receive the following information: I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on a test with X = 800 and s = 200 III. A score of 48 on a test with X = 57 and s = 6. Now, we need to determine which score exhibits the highest relative position. To do this, we will calculate the z-score for each test score, as a higher z-score signifies a superior relative position. The z-score probability distribution is expressed as: Z = X - µ / s ~ N(0,1), where µ = mean score, s = standard deviation, X = each test score. The z-score for the first condition can be derived from the provided values; thus, for the score of 2.6 on a test with X = 5.0 and s = 1.6, we calculate z-score = (2.6 - 5.0) / 1.6 = -1.5. The z-score for the second condition with a score of 650 on a test where X = 800 and s = 200 is computed as z-score = (650 - 800) / 200 = -0.75. Lastly, we calculate the z-score for the third condition with a score of 48 on a test with X = 57 and s = 6 as z-score = (48 - 57) / 6 = -1.5. We can see that the z-scores for the first and third conditions are higher compared to the second condition, hence it is affirmed that both a score of 2.6 on a test with X = 5.0 and s = 1.6 and a score of 48 on a test with X = 57 and s = 6 demonstrate the highest relative position.