1. A distribution of exam scores has a mean of µ 5 78.
a. If your score is X = 70, which standard deviation would give you a better grade: s =4 or s = 8?
b. If your score is X = 80, which standard deviation would give you a better grade: s = 4 or s = 8?
2. For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer.
a. A score of X = 74 on an exam with M = 82 and s = 8; or a score of X = 40 on an exam with µ= 50 and s = 20.
b. A score of X = 51 on an exam with µ = 45 and s = 2; or a score of X = 90 on an exam with µ = 70 and s = 20.
c. A score of X = 62 on an exam with µ = 50 and s = 8; or a score of X = 23 on an exam with µ = 20 and s = 2.