Jessica scores 1825 on the sat. ashley scores 28 on the act assuming that both tests measure the same thing who has the higher score report the z-scores for both students

Question

Abby Murray

Mathematics

11 September, 16:39

Jessica scores 1825 on the sat. ashley scores 28 on the act assuming that both tests measure the same thing who has the higher score report the z-scores for both students

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Marcel Lang · Answer 1

With 1026 being the mean score on the SAT and StDev of 209, Jessica has a score of 799/209 z-scores above the mean. Her z-score would be 3.823. The mean of the ACT and StDev are 20.8 and 4.8, respectively. A 28 ACT score would be 7.2/4.8 z-scores above the mean, for a z = 1.500. This means that Jessica has the higher z-score.