A college senior who took the Graduate Record Examination (GRU) scored 635 on th

Question

A college senior who took the Graduate Record Examination (GRU) scored 635 on the verbal reasoning section and 658 on the quantitative reasoning section. The mean for the verbal reasoning section was 464 with a standard deviation of 118, and the mean score for the quantitative reasoning was 585 with standard deviation 154. Suppose that both distributions are nearly normal. (a) What is the z-score for the verbal reasoning section? 1.44915 (b) What is the z-score for the quantitative reasoning section? 0.474025 (c) Which section did she do better on relative to the other people that took the exam? A. Verbal Reasoning B. Quantitative Reasoning C. The scores were the same (d) What is the percentile score for the verbal reasoning? (e) What is the percentile score for the quantitative reasoning?

Explanation / Answer

The Z scores you have calculated are correct

I have used an online Percentile - Z Score converter

Z= 1.44915 Corresponds to to Percentile of 92.64 %

Z= .474025 Corresponds to to Percentile of 68.23 %

In a Z-score to Percwntile converter you just need to put your respctive Z-values to get their corresponding Percentile.

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