Question

Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100. If the state college only accepts students who score in the top 85% on the SAT, what is the minimum score needed to be accepted? Group of answer choices 396 604 525 475

Answer #1

**Please don't hesitate to give a "thumbs up" for the
answer in case the answer has helped you**

A top 85% means the minimum score to be within the top 85%. Please check the wording of the question as it asks to get the minimum score to be in the top 85%, and not 15%, so we must find value "c" such that P(X>c) = .85

We are given params of normal dist:

Mean = 500

Stdev = 100

Standardizing using the above params:

P(Z> (c-500)/100 ) = .85

This can be written as :

P(Z<= (c-500)/100) = 1-.85 = .15

Looking at Z-tables a cumulative probability of .15 has a Z score of -1.0364

So, (c-500)/100 = -1.0364

c = -1.0364*100+500 = 396.36, rounding off : 396

**Answer: 396**

Suppose the mathematics SAT scores are normally distributed
with a mean of 500 and a standard deviation of 100. If a school
only accepts students with SAT math scores in the top 10 percent,
what are the minimum SAT scores that would be acceptable for that
school?

Q scores have a normal distribution with µ = 90 and σ = 10. a)
Find the probability for a score over 100. b) Find the score needed
for the top 5%

1.
Scores on an aptitude test form a normal distribution
with a mean of 140 and a standard deviaition of 12. Find the
percent that score between 131 and 155.
Group of answer choices
12.10%
22.66%
32.44%
66.78%
10.56%
2.
The scores of students on a standardized test form a
normal distribution with a mean of 140 and a standard deviaition of
12. If 36000 students took the test, how many scored above
149?
Group of answer choices
9634
7922...

Scores on the SAT form a normal distribution with a mean of 1100
and a standard deviation of 150.
Find the range of values that defines the middle 10% of
the distribution of SAT scores.
Please show step by step on how to solve this.

IQ scores are standardized to produce a normal distribution with
a mean of µ = 100 and a standard deviation of σ = 15. Find the
proportion of the population in the following IQ category: IQ
greater than 160. The proportion is Group of answer choices .0039
.49997 .008 .00003

8. A random sample is obtained from a
normal population with a mean of µ = 80 and a standard deviation of
σ = 8. Which of the following outcomes is more likely? Explain your
answer.
A. A
sample mean greater than 86 for a sample of n = 4 scores.
B. A
sample mean greater than 84 for a sample of n = 16 scores.
9. The distribution of SAT scores is
normal with a mean of...

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...

Use the normal distribution of SAT critical reading scores for
which the mean is
511
and the standard deviation is
119
Assume the variable x is normally distributed.
left parenthesis a right parenthesis(a)
What percent of the SAT verbal scores are less than
600?
left parenthesis b right parenthesis(b)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?
left parenthesis a right parenthesis(a)
Approximately
nothing%
of the SAT verbal scores...

The scores on a college entrance exam have an approximate normal
distribution with mean, µ = 75 points and a standard deviation, σ =
7 points.
About 68% of the x values lie between what two values? What are
the z-scores?

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 53 seconds ago

asked 37 minutes ago

asked 38 minutes ago

asked 49 minutes ago

asked 54 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago