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 1094 and a
standard deviation of 204. Scores on the ACT test are normally
distributed with a mean of 22.6 and a standard deviation of 3.9. It
is assumed that the two tests measure the same aptitude, but use
different scales.

a) If a student gets an SAT score that is the 58-percentile, find
the actual SAT score.

SAT score =

b) What would be the equivalent ACT score for this student?

ACT score =

c) If a student gets an SAT score of 1400, find the equivalent ACT
score.

ACT score =

Answer #1

Answer:-

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 admittance. Scores on
the SAT test are normally distributed with a mean of 1001 and a
standard deviation of 199. Scores on the ACT test are normally
distributed with a mean of 19.7 and a standard deviation of 4. It
is assumed that the two tests measure the same aptitude, but use
different...

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 998 and a
standard deviation of 203. Scores on the ACT test are normally
distributed with a mean of 20.7 and a standard deviation of 4.3. It
is assumed that the two tests measure the same aptitude, but use
different...

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 1039 and a
standard deviation of 198. Scores on the ACT test are normally
distributed with a mean of 22.9 and a standard deviation of 5.1. It
is assumed that the two tests measure the same aptitude, but use
different...

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 admittance. 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 20.4 and a standard deviation of 5.1. It
is assumed that the two tests measure the same aptitude, but use
different...

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 1033 and a
standard deviation of 203. Scores on the ACT test are normally
distributed with a mean of 21.8 and a standard deviation of 4.7. It
is assumed that the two tests measure the same aptitude, but use
different...

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...

6. A math teacher gives two different tests to measure students'
aptitude for math. Scores on the first test are normally
distributed with a mean of 23 and a standard deviation of 4. Scores
on the second test are normally distributed with a mean of 64 and a
standard deviation of 10. Assume that the two tests use different
scales to measure the same aptitude. If a student scores 29 on the
first test, what would be his equivalent score...

Scores by women on the SAT-1 test are normally distributed
with a mean of 988 and a standard deviation of 202. Scores by women
on the ACT test are normally distributed with a mean of 20.9 and a
standard deviation of 4.6.
If a women gets a SAT score that is the 77th percentile, find
her actual SAT score and her equivalent ACT score.

High school students are faced with taking the ACT or
the SAT tests to measure their readiness to start college.
Quantitative SAT scores have a mean of 1525 and a standard
deviation of 305 while quantitative ACT scores have a mean of 25.1
and a standard deviation of 6.
a. A student takes the ACT and receives a score of 35
while another takes the SAT and receives a score of 2202. Which
student has scored higher relatively speaking?
b....

3. High school students are faced with taking the ACT or the SAT
tests to measure their readiness to start college. Quantitative SAT
scores have a mean of 1509 and a standard deviation of 312 while
quantitative ACT scores have a mean of 21.1 and a standard
deviation of 5.
a. A student takes the ACT and receives a score of
35 while another takes the SAT and receives a score of 2202. Which
student has scored higher relatively...

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