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In: Statistics and Probability

Sophia who took the Graduate Record Examination (GRE) scored 167 on the Verbal Reasoning section and...

Sophia who took the Graduate Record Examination (GRE) scored 167 on the Verbal Reasoning section and 161 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 155 with a standard deviation of 7.06, and the mean score for the Quantitative Reasoning was 151 with a standard deviation of 7.11. Suppose that both distributions are nearly normal.

(a) What is Sophias Z-score on the Verbal Reasoning section?
On the Quantitative Reasoning section?
(b) Relative to others, which section did she do better on? .
(c) Find her percentile scores for the two exams.


Verbal Reasoning percentile:
Quantitative Reasoning percentile:


(d) What percent of the test takers did better than her on the Verbal Reasoning section? .
On the Quantitative Reasoning section? .

Find the following:
(e) The score of a student who scored in the 60th percentile on the Quantitative Reasoning section.
(f) The score of a student who scored worse than 50% of the test takers in the Verbal Reasoning section.

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orchestra answered 2 years ago
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