Question

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The Graduate Record Examination (GRE) is a test required for admission to many US graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution with a mean of 150 and a standard deviation of 8.8. In addition to other qualifications, a score of at least 152 is required for admission to a particular graduate school.

a )Determine the 80^{th}percentile of GRE scores.

b) Determine the GRE scores that make up the middle 95% of all scores.

c) Compare the results in part b) to the values given by the Empirical Rule.

Answer #1

Let X denotes the score of a randomly selected student on the quantitative portion.

X ~ Normal(150, 8.8^{2})

a) To find 80^{th}percentile of GRE scores, i.e.

b) To find the middle 95% of all scores, i.e. to find
x_{1} and x_{2} such that

So, we can write

and

c) By the Empirical Rule.

95% values will lie between ( mean - 2*standard deviation, mean + 2*standard deviation) = (150 - 2*8.8, 150 + 2*8.8) = (132.4, 167.6)

1. (6 pts) The Graduate Record Examination
(GRE) is a test required for admission to many U.S. graduate
schools. Students' scores on the quantitative portion of the GRE
follow a normal distribution with mean 150 and standard deviation
8.8. In addition to other qualifications, a score of at least 160
is required for admission to a particular graduate school.
What proportion of combined scores can be expected to be over
160?
What proportion of combined GRE scores can be expected...

The Graduate Record Examination (GRE) is a test require for
admission to many U.S graduate schools. Students' scored on the
quantitative portion of the GRE follow a normal distribution with
mean 150 and standard deviation 8.8. A graduate school requires
that sudents score above 160 to be admitted
1. Determine the combined GRE scores that make up the middle 95%
of all scores?
Use the standard normal distribution to determine the
following:
2.) 68% of the scores lie between what...

The Graduate Record Examination (GRE) is a standardized test
commonly taken by graduate school applicants in the United States.
The total score is comprised of three compo- nents: Quantitative
Reasoning, Verbal Reasoning, and Analytical Writing. The first two
components are scored from 130 - 170. The mean score for Verbal
Reasoning section for all test takers was 151 with a standard
deviation of 7, and the mean score for the Quantitative Reasoning
was 153 with a standard deviation of 7.67....

Assignment: What are the main arguments in the
article?
Please answer within 5 hours. It is extremely
urgent!!!!!!!!!!!!!!!!!!!!!!!!
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BIOETHICS.
Bioethics as a field is relatively new, emerging only in the
late 1960s, though many of the questions it addresses are as old as
medicine itself. When Hippocrates wrote his now famous dictum
Primum non nocere (First, do no harm), he was grappling
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What topics are covered in the following
article?
Please answer within 5 hours. It is extremely
urgent!!!!!!!!!!!!!!!!!!!!!!!!
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BIOETHICS.
Bioethics as a field is relatively new, emerging only in the
late 1960s, though many of the questions it addresses are as old as
medicine itself. When Hippocrates wrote his now famous dictum
Primum non nocere (First, do no harm), he was grappling
with one of the core issues still facing human medicine, namely,
the role and duty of the physician....

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