## A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standar

Question

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 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.

Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.

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3 years 2021-07-17T03:57:36+00:00 1 Answers 8 views 0

The answer is “1110, 20.4, and 31.408

Step-by-step explanation:

For point a:

Given:

Calculating the SAT score:

For point b:

Given:

Calculating the equivalent ACT score:

For point c:

Calculating equivalent ACT score: