Bill had a score of 76 on the history test and 87 on the math test. Sally had a 75 on the history test and an 84 on the math test. History test X = 71 and d = 3.6. Math test: X = 83 and d = 3.1. For the history test n = 57 with 23 scoring lower than Bill. For the math test, 11 = 85 with 72 scoring lower than Bill. For history 45 scored lower than Sally and 53 scored lower in math than Sally. (Don't compare Sally to Bill.) (a) On which test did Bill perform better, using the z-score? (b) On which test did Sally perform better, using the zscore? (0) Explain how you know this. 2. (a) Convert Bill's two test scores to T-scores and (b) explain what each test score means in your own words, (0) Why would someone want to use Tscores? (Hint: 2 reasons.) 3. (3) Convert Sally's two test scores to stanines and (b) explain what each means in your own words