Question

A quantitative section of the GRE is scored between 130–170, and the average score falls somewhere around 151. with a standard deviation of 12. Assuming these findings are approximately normal, answer the following.

**1.** What is the z-score for a GRE score higher
than 160?

**2.** What proportion of students scores 152 or
above

**3.** What proportion of students scores between
131 and 170?

**4.** What GRE score represents the 95th
percentile?

Use the Z-score table of Areas Under the Standardized Normal Distribution

Please round your Z score to the nearest Z table value. For example, round Z=1.2345 to Z=1.23.

Answer #1

Note :

Round z score to 2 or 4 decimals according to your answer

Amanda took the Graduate Record Examination (GRE), and scored
160 in verbal reasoning and 157 in quantitative reasoning. The mean
score for verbal reasoning was 151 with a standard deviation of 7,
compared with mean µ = 153 and σ = 7.67 for quantitative reasoning.
Assume that both distributions are normal.
(a) What were Amanda’s Z-scores on these exam sections? Mark
these scores on a standard normal distribution curve.
(b) Which section did she do better on, relative to other...

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....

(Use a calculator for this problem)
The combined (verbal + quantitative reasoning) score on the GRE
is normally distributed with mean 1066 and standard deviation
191.
(a) What proportion of combined GRE scores can be expected to be
under 1100?
(b) What proportion of combined GRE scores can be expected to be
over 1100?
(c) What proportion of combined GRE scores can be expected to be
between 950 and 1000?
(d) What is the probability that a randomly selected student...

Wendell just took the GRE (graduate record exam) and wants to
know how he stacks up compared to other students. The GRE is a
standardized test with a normal distribution of scores. He knows
the z score for his test result, z = 0.33, and
wants to know the proportion of people who scored lower than him on
the GRE. Which column in the Unit Normal Table should John use to
answer his question?
Proportion between Mean and z
Proportion...

Kaplan is interested in determining if the average mathematics
GRE score improved for students who took their preparation course.
The GRE Math section is scored on a130-170 point scale, in 1 point
increments. To conduct this study, 10 students who tookthe GRE and
then retook it after taking their course were randomly picked from
thepopulation. Their scores before and after are noted below:
Before
A. 147
B. 152
C. 155
D. 138
E. 147
F. 153
G. 151
H. 158...

Scores on the GRE. A college senior who took the Graduate Record
Examination exam scored 640 on the Verbal Reasoning section and 740
on the Quantitative Reasoning section. The mean score for Verbal
Reasoning section was 461 with a standard deviation of 107, and the
mean score for the Quantitative Reasoning was 450 with a standard
deviation of 147. Suppose that both distributions are nearly
normal. Round calculated answers to 4 decimal places unless
directed otherwise.
1.Write down the short-hand...

Scores on the GRE. A college senior who took
the Graduate Record Examination exam scored 630 on the Verbal
Reasoning section and 670 on the Quantitative Reasoning section.
The mean score for Verbal Reasoning section was 461 with a standard
deviation of 107, and the mean score for the Quantitative Reasoning
was 425 with a standard deviation of 154. Suppose that both
distributions are nearly normal. Round calculated answers to 4
decimal places unless directed otherwise.
1.Write down the short-hand...

Scores on the GRE. A college senior who took
the Graduate Record Examination exam scored 580 on the Verbal
Reasoning section and 730 on the Quantitative Reasoning section.
The mean score for Verbal Reasoning section was 456 with a standard
deviation of 132, and the mean score for the Quantitative Reasoning
was 443 with a standard deviation of 153. Suppose that both
distributions are nearly normal. Round calculated answers to 4
decimal places unless directed otherwise.
1.Write down the short-hand...

Scores on the GRE. A college senior who took
the Graduate Record Examination exam scored 580 on the Verbal
Reasoning section and 730 on the Quantitative Reasoning section.
The mean score for Verbal Reasoning section was 456 with a standard
deviation of 132, and the mean score for the Quantitative Reasoning
was 443 with a standard deviation of 153. Suppose that both
distributions are nearly normal. Round calculated answers to 4
decimal places unless directed otherwise.
5. What is her...

The mean quantitative score on a standardized test for female
college-bound high school seniors was
550
The scores are approximately Normally distributed with a
population standard deviation of
50
A scholarship committee wants to give awards to college-bound
women who score at the
96TH
percentile or above on the test. What score does an applicant
need? Complete parts (a) through (g) below.The mean quantitative
score on a standardized test for female college-bound high school
seniors was
550
The scores are...

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