1. Amanda who took the Graduate Record Examination [GRE] scored 162 on the Verbal Reasoning section and 159 on the Quantitative Reasoning section. The mean score for Verbal Reasoning 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 deviation of 7.67. Suppose that both distributions are nearly normal. a. (1 point] Write down the shorthand for these two normal distributions. (Let X = the scores of the GRC Verbal Reasoning section and Y = the scores of the GRC Quantitative Reasoning section]. X~_l , J Y~_( __.__l b. (2 points] What is Amanda's z - score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two 2 scores. c. (1 point) What do these 2 - scores tell you? C]. [2 points] Find her percentile scores for the two exams. [Write the formula used to find the percentile). e. [1 point) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning