To calculate grades in her statistics course, Professor Clark converted the raw scores on all four tests to z-scores. Each student's final course grade was then based on his or her highest z score. Sara's raw scores are shown below along with the mean and standard deviation for each of the four tests.
Test 1: Raw score - 50, Mean - 45, SD - 10
Test 2: Raw score - 30, Mean - 30, SD - 10
Test 3: Raw score - 25, Mean - 20, SD - 2
Test 4: Raw score - 25, Mean - 20, SD - 3