Sophia who took the Graduate Record Examination (GRE) scored 157on the Verbal Reasoning section and 162 on the QuantitativeReasoning section. The mean score for Verbal Reasoning section forall test takers was 150 with a standard deviation of 7.2, and themean score for the Quantitative Reasoning was 153 with a standarddeviation of 7.64. Suppose that both distributions are nearlynormal.
(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: th
Quantitative Reasoning percentile: th
(d) What percent of the test takers did better than her on theVerbal Reasoning section? .
On the Quantitative Reasoning section? .
Find the following:
(e) The score of a student who scored in the 75th percentile on theQuantitative Reasoning section.
(f) The score of a student who scored worse than 85% of the testtakers in the Verbal Reasoning section.
