Question

**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. In order to get into MIT, you need to be in the top
15% of all students who take the ACT. What is the ACT score that a
student must obtain to qualify for MIT? **

**c. A student receives an SAT score of 1990. What
percentile is the student in?**

Answer #1

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...

ACT and SAT scores are both known to be normally distributed. In
2017, the mean and standard deviation for the ACT were μ=20 and
σ=6, respectively. The mean and standard deviation for the SAT were
μ=1060 and σ=200, respectively.
a. What ACT score would place a student in the same percentile
as a student who scored 1370 on the SAT in 2010? (In other words,
what ACT score is "equivalent" to an SAT score of 1370?) Round your
answer to...

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...

There are two major tests of readiness for college, the ACT and
the SAT. ACT scores are reported on a scale from 1 to 36. The
distribution of ACT scores for more than 1 million students in a
recent high school graduating class was roughly normal with mean μ
= 20.8 and standard deviation σ = 4.8. SAT scores are reported on a
scale from 400 to 1600. The SAT scores for 1.4 million students in
the same graduating class...

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...

Problem 6.
Reports on a student's ACT or SAT usually give the percentile as
well as the actual score. With reference to problem 5 above,
suppose Jacob scores 16 on the ACT. What is his percentile? Show
your method.
Problem 5.
There are two major tests of readiness for college, the ACT and the
SAT. ACT scores are
reported on a scale from 1 to 36. The distribution of ACT scores in
recent years has been roughly
Normal with mean...

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...

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 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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 10 minutes ago

asked 20 minutes ago

asked 28 minutes ago

asked 34 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 43 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago