Sophia who took the Graduate Record Examination (GRE) scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for the Verbal Reason- ing 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 of 7.67. Suppose the both distributions are nearly normal. (a) What is Sophia's z-score on the Verbal Reasoning section? (b) What is Sophia's z-score on the Quantitative Reasoning section? (c) What do these z-scores tell you? (This means how would you interpret the z-scores.) (d) Relative to others, which section did she do better on?