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ACT and SAT scores are both known to be normally distributed. In 2017, the mean and...

ACT and SAT scores are both known to be normally distributed. In 2017, the mean and standard deviation for the ACT were μ=20 and σ=6, respectively. The mean and standard deviation for the SAT were μ=1060 and σ=200, respectively.

a. What ACT score would place a student in the same percentile as a student who scored 1370 on the SAT in 2010? (In other words, what ACT score is "equivalent" to an SAT score of 1370?) Round your answer to the nearest integer.

b. What SAT score would place a student in the same percentile as a student who scored 15.8 on the ACT in 2010? (In other words, what SAT score is "equivalent" to an ACT score of 15.8?) Round your answer to the nearest integer.

Math   Statistics-And-Probability   
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