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Compare performance using standard scores

A student scored 60% in test 1 and 65% in test 2. The source models the respective scores as X∼N(55,15)X\sim N(55,15) and Y∼N(63,12)Y\sim N(63,12). Did the student perform better relative to peers in the second test?

CJC · Lecture · Self-directed learning

Use the square root of each variance in the z-score.

Compare distance above the relevant mean, in standard deviations.

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