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A study was conducted on students from a particular high school over the last 8 years....

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Statistics

A study was conducted on students from a particular high schoolover the last 8 years. The following information was foundregarding standardized tests used for college admitance. Scores onthe SAT test are normally distributed with a mean of 992 and astandard deviation of 201. Scores on the ACT test are normallydistributed with a mean of 19.1 and a standard deviation of 5.1. Itis assumed that the two tests measure the same aptitude, but usedifferent scales.

If a student gets an SAT score that is the 67-percentile, find theactual 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 1334, find the equivalent ACTscore.
ACT score =  
Round answer to 1 decimal place.

Answer & Explanation Solved by verified expert
3.7 Ratings (652 Votes)
Giventhat scores on the SAT test are normally distributed with a meanof 992 and a standard deviation of 201Let X    See Answer
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