In: Statistics and Probability
A college senior who took the Graduate Record Examination exam scored 630 on the Verbal Reasoning section and 600 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section was 455 with a standard deviation of 108, and the mean score for the Quantitative Reasoning was 449 with a standard deviation of 147. Suppose that both distributions are nearly normal. Round calculated answers to 4 decimal places unless directed otherwise.
1.What is her percentile score on the Verbal Reasoning section? Round to nearest whole number.
2. What is her percentile score on the Quantitative Reasoning section? Round to nearest whole number.
3. What percent of the test takers did better than she did on the Verbal Reasoning section? %
4. What percent of the test takers did better than she did on the Quantitative Reasoning section? %
5. What is the score of a student who scored in the 65th65th percentile on the Quantitative Reasoning section? Round to the nearest integer.
6. What is the score of a student who scored worse than 41% of the test takers in the Verbal Reasoning section? Round to the nearest integer.