Question

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a certain year had a mean of 507 and standard deviation of 111. Assume that SAT scores follow a normal distribution.

One of the criteria for admission to a certain engineering school is an SAT-M score in the top 3% of scores. How does this translate to an actual SAT-M score? In other words, how high must a student score on the SAT-M in order for his application to be considered? What score (after rounding) must a student have in order to be in considered for the engineering school?

Answer #1

Questions 6-10 A recent version of the mathematics section on
the SAT test was reported by the College Board to have a
distribution of X N: (518,115); that is, normally distributed with
a mean of 518 and a standard deviation of 115. That year, about 1.7
million (1,700,000) high school students took the SAT.
6. What is the probability that a randomly selected student from
that year had a SAT math score below 440?
7. An honors program for engineering...

SAT scores are standardized with a μ = 460 and a σ2 = 14400.00
on both the math and verbal portions. The following questions refer
to the math portion:
a) A highly selective school decides that it will only consider
applicants with a score in the top 5%. What is the minimum score a
student must have in order to be considered for admission in this
school?
b) A different school has a wait list for students in the top...

According to the CollegeBoard SAT , the 2007 mean SAT math score
for students in Tennessee was 550. If Tennessee SAT math scores are
normally distributed with a standard deviation of 101, answer the
following questions.
1) If a student's SAT math score is in the bottom 20% of scores,
what is his/her score?
2) A certain college will only consider appications in which the
SAT math score is in the top 12% of scores. What is the minimum
score...

Suppose that the national average for the math portion of the
College Board's SAT is 512. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
612?
%...

Suppose that the national average for the math portion of the
College Board's SAT is 514. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores. If required, round
your answers to two decimal places. (a) What percentage of students
have an SAT math score greater than 589? % (b) What percentage of
students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 547. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores.
If required, round your answers to two decimal places.
(a)
What percentage of students have an SAT math score greater than
622?
%
(b)
What percentage of students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 515. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
615?
(b)...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. A research hypothesis was that
students whose parents had attained a higher level of education
would on average score higher on the SAT. The overall mean SAT math
score was 514.† SAT math scores for independent samples of students
follow. The first sample shows the SAT math test scores for
students whose parents are college graduates...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. A research hypothesis was that
students whose parents had attained a higher level of education
would on average score higher on the SAT. The overall mean SAT math
score was 514. SAT math scores for independent samples of students
follow. The first sample shows the SAT math test scores for
students whose parents are college graduates...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. A research hypothesis was that
students whose parents had attained a higher level of education
would on average score higher on the SAT. The overall mean SAT math
score was 514.† SAT math scores for independent samples of students
follow. The first sample shows the SAT math test scores for
students whose parents are college graduates...

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