To qualify for a master's degree, you must be among the highest 15% on the admission test. If the scores are normally distributed, what is the minimum score you need to achieve to be admitted?

A. The minimum score is at or above the mean score.
B. The minimum score is at or below the mean score.
C. The minimum score is at or above the 15th percentile score.
D. The minimum score is at or below the 15th percentile score.

To qualify for a master's degree, you have to score in the top 15%, which means you're hitting at or above the 85th percentile score. None of the given choices accurately represents this scenario, but the closest is that the minimum score is at or above the mean score.

Explanation:

To meet the admission requirements for a master's degree, one must perform better than a significant portion of the test-takers. Specifically, you must be among the top 15% scores, or in other words, you must score higher than 85% of the test-takers, because the highest 15% of scores is also the top 85th percentile of distribution. So, in terms of percentile score, you should get a score equal to or higher than the score for the 85th percentile to qualify for higher studies. Therefore, the correct answer is that the minimum score is at or above the 85th percentile score (which is not stated as an option among your choices). If we had to choose among the given options, the closest option to the correct answer would be (a) The minimum score is at or above the mean score. Although this is not completely accurate, it assumes that the mean score is high enough that it falls in the higher 15 percentile of the distribution.

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