Question

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 at a certain college requires at least a 720 SAT math score to be considered for admission. How many students that year met this requirement?

8. Another program only admits students with SAT math scores in the top 20%. What is the cutoff score (the lowest SAT math score) they will take for this program?

9. What SAT math score is at the 90th percentile?

10. What percent of students from that year had SAT math scores between 600 and 700?

Answer #1

Q 6)

Q 7)

The number of students that year met this requirement are = 1700000*0.0392 =66640

Q8) For top 20% the critical value of Z is 0.841

Therefore the cutoff is

Q 9) For 90th percentile the value of Z is 1.282

The SAT math score at 90th percentile is

Q 10)

Answer: 18.18% of students from that year had SAT math scores between 600 and 700

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...

A teacher has created a better way to do math for improve SAT
scores. Based on data from the college board, SAT scores are
normally distributed with = 514 and = 113. The teacher finds a
sample of 1800 students and puts them through the program. The
sample yields a mean SAT math score of M = 518. Use an = 0.10 level
of significance to see if the program had any effect. (Please use
all procedures for the hypothesis)...

Scores on the SAT Mathematics test are believed to be Normally
distributed. The scores of a simple random sample of five students
who recently took the exam are 550, 620, 710, 520, and 480. What is
a 95% confidence interval for µ, the population mean score on the
SAT Math test?

Do students tend to improve their SAT math score the second time
they take the test? A random sample of four students who took the
test twice provided the given scores.
Student
1
2
3
4
First Score
450
520
720
600
Second Score
440
600
720
630
Assuming that the change in SAT Math score (second score—first
score) for the population of all students taking the test twice is
Normally distributed with mean μ , are we convinced that...

The Scholastic Aptitude Test (SAT) contains three sections:
critical reading, mathematics and writing. Each part is scored on a
500-point scale. Information on test scores for the 2018 version of
SAT is available at the College Board website. A sample of SAT
scores for 5 students follow:
SAT scores - 2017
Student
Reading
Math
Writing
1
453
458
465
2
456
458
459
3
454
460
457
4
458
455
461
5
454
454
463
mean
455
457
461
ANOVA...

(7pt) The Scholastic Aptitude Test (SAT) contains three
sections: critical reading, mathematics and writing. Each part is
scored on a 500-point scale. Information on test scores for the
2018 version of SAT is available at the College Board website. A
sample of SAT scores for 5 students follow:
ANOVA Table
Source of variation
Sum of Squares (SS)
Degrees of freedom
Mean Square (MS)
F
Treatment
93.3
2.0
46.67
8.75
Error
64.0
12.0
5.33
Total
157.3
14
SAT scores...

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...

The comparisons of Scholastic Aptitude Test (SAT) scores based
on the highest level of education attained by the test taker's
parents were provided. 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 (College Board website, January 8, 2012). SAT math
scores for independent samples of students follow. The first sample
shows the SAT math test scores for students whose parents...

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