Question

The
scores for all high school seniors taking the verbal section of the
school list at the tutors in a particular year had a mean of 490
and a standard deviation of 100. The distribution of SAT scores is
bell shaped.

a)what percentage of seniors score between 390 and 590 on the
SAT test?

b) One student score 795 on the test. How did the student do
compared to the rest of the scores?

c) A rather exclusive university only admit students who are
among the highest 60% of the scores on this test. What score what a
student need on this test to be qualified for admittance to this
university.

Answer #1

6.18 ACT scores of high school seniors. The
scores
of your state’s high school seniors on the ACT
college entrance examination in a recent year had
mean m 5 22.3 and standard deviation s 5 6.2. The
distribution of scores is only roughly Normal.
(a) What is the approximate probability that a single
student randomly chosen from all those taking the test
scores 27 or higher?(b) Now consider an SRS of 16 students who took
the
test. What are the...

Bringing all of section 6.2 together...
The scores on the SAT verbal test in recent years follow
approximately the N(526, 109) distribution. Use technology
to answer these questions.
What is the proportion of students scoring under 400? (4
decimal positions)
=.1238
What is the proportion of students scoring between 400 and 550?
(4 decimal positions)
=.4633
What is the proportion of students scoring over 550? (4 decimal
positions)
.4129
If a student placed in the bottom 10% of all students...

Scholastic Aptitude Test (SAT) mathematics scores of a random
sample of 500 high school seniors in the state of Texas are
collected, and the sample mean and standard deviation are found to
be 501 and 112, respectively. Find a 99% confidence interval on the
mean SAT mathematics score for seniors in the state of Texas.

More than 1 million high school students took the SAT in 2000.
The average verbal score was 428 and the standard deviation was
110.
(a) Estimate the 60th percentile of the verbal SAT scores in
2000.
(b) In California, the average verbal score was 417 and the
standard deviation was 110 points. About what percent of the
California test takers did better than the national average?
(c) Estimate the difference between national and California’s
and national SAT scores. Construct a...

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...

One year, many college-bound high school seniors in the U.S.
took the Scholastic Aptitude Test (SAT). For the verbal portion of
this test, the mean was 425 and the standard deviation was 110.
Based on this information:
a) What proportion scored 500 or above? Draw the picture!
b) What proportion of the students would be expected to score
between 350 and 550? Draw the picture.

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...

One year, many college-bound high school seniors in the U.S.
took the Scholastic Aptitude Test (SAT). For the verbal portion of
this test, the mean was 425 and the standard deviation was 110.
Based on this information:
a) What proportion scored 500 or above? Draw the picture!
b) What proportion of the students would be expected to score
between 350 and 550? Draw the picture.
Type Everything Please

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