Question

The scores on the SAT college entrance exam are normally distributed with a mean Math score of 480 and a standard deviation of 100. If you select 50 students, what is the probability that their mean Math score is more than 520. You MUST show what went into the calculator along with your final answer rounded correctly to 3 significant decimal places.

Answer #1

Let X denote the Math scores on the SAT college entrance exam.

Now, we are given that:

The above statement implies that:

Thus,

Now, the probability that the mean math score is more than 520 is given by:

What went into the calculator depends on the type of calculator used. Generally we will enter 2.828427 and ask for it to calculate the cdf of the standard normal distribution at that point.

**For any queries, feel free to comment and
ask.**

**If the solution was helpful to you, don't forget to
upvote it by clicking on the 'thumbs up' button.**

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?

Suppose scores on a college entrance exam are normally
distributed with a mean of 550 and a standard deviation of 100.
Find the score that marks the cut-off for the top 16% of
the scores. Round to two decimal places.

Suppose scores on a college entrance exam are normally
distributed with a mean of 550 and a standard deviation of 100.
Find the score that marks the cut-off for the top 16% of the
scores. Round to two decimal places.

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 520 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is higher than the national mean SAT-M score. Based...

Estimating Mean SAT Math Score
The SAT is the most widely used college admission exam. (Most
community colleges do not require students to take this exam.) The
mean SAT math score varies by state and by year, so the value of µ
depends on the state and the year. But let’s assume that the shape
and spread of the distribution of individual SAT math scores in
each state is the same each year. More specifically, assume that
individual SAT math...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530.
The sample data can be used to test the claim that
the mean SAT-M score of all Whitmer College students is different
than the national mean SAT-M score.
From the...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 475 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is lower than the national mean SAT-M score. Based...

(4) 1. SAT math scores are normally distributed with a mean 525
and a standard deviation of 102. In order to qualify for a college
you are interested in attending your SAT math score must be in the
highest 9.34% of all SAT scores. What is the minimum score you need
on the SAT to qualify for the college?
(4) 2. If you get into this college you are interested in
running for the track team. To qualify for the...

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...

Two class with 1000 kids each take the SAT college entrance
exam. In class "A" the scores are normally distributed between 1000
and 1600. In class "B" the scores are uniformly distributed between
1000 and 1600. Which class had more kids with scores of 1600?
which class had the higher mean SAT score?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 11 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 27 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 41 minutes ago

asked 48 minutes ago