Question: There are 2 major sets of readiness tests for college: the ACT and the SAT. ACT scores are reported on a scale of 1 to 36. The distribution of ACT scores in recent years has been relatively normal with a µ = 20.9 and σ = 4.8. SAT scores are reported on a scale from 400 to 1600 with a µ = 1026 and σ = 209.

Jose scores 1287 on the SAT. Assuming both tests measure the same thing, what score on the ACT would be equivalent to Jose’s SAT score?

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