Stacy, who is in 8th grade, and Brittany, who is in 12th grade, each take a math competition test. Stacy scored 36 on the test and Brittany scored 67. For all 8th graders the mean score was 30 with a standard deviation of 5. For all 12th graders the mean score was 61 with a standard deviation of 12. Who did better relative to what grade they are in? Show all supporting work.