A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1076 and a standard deviation of 196. Scores on the ACT test are normally distributed with a mean of 22.7 and a standard deviation of 5. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 67-percentile, find the actual SAT score. SAT score = Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = Round answer to 1 decimal place. If a student gets an SAT score of 1409, find the equivalent ACT score.

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