The two main standardized tests in the United States for high school students are the ACT and SAT. ACT scores are normally distributed with mean 18 and standard deviation 6. SAT scores are normally distributed with mean 500 and standard deviation 100. Suppose Jill takes an SAT exam and scores 680. Jack plans to take the ACT. What score does Jack need to get so that his standardized score is the same as Jill’s standardized score? What percentile do they each score at?