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Data from a state indicate that scores on the SAT test are normally distributed with a...

Data from a state indicate that scores on the SAT test are normally distributed with a mean of 1089 and a standard deviation of 199. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 4.4. 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 58 percentile, find the actual SAT score. Round answer to a whole number.

SAT score=

What would be the equivalent ACT score for this student? Round answer to 1 decimal place.

ACT score=

If a student gets an SAT score of 1288, find the equivalent ACT score. Round answer to 1 decimal place.

ACT score=

Math   Statistics-And-Probability   
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