For each of the following, identify the exam score that should lead to the bette
ID: 2956863 • Letter: F
Question
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 = 56, on an exam with µ = 50 and s = 4, or a score of X = 60 on an exam with µ = 50 and s = 20. b)A score of X = 40, on an exam with µ = 45 and s = 2, or a score of X = 60 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. 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 = 56, on an exam with µ = 50 and s = 4, or a score of X = 60 on an exam with µ = 50 and s = 20. b)A score of X = 40, on an exam with µ = 45 and s = 2, or a score of X = 60 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.Explanation / Answer
You have to use the z-score formula to solve these problems: z = (x-m)/s A. The first option (x = 56) will lead to an overall better grade, because it's z-score is 1.5. The other option (x = 60) has a z-score of 0.5. Since both of these scores are above the mean (positive), the higher z-score is the better grade. B. The second option (x = 60) will lead to an overall better grade, because it's z-score is -0.5. The other option (x = 40) has a z-score of -2.5, which is farther below the mean. These z-scores are both negative, so the better grade has a z-score closer to 0.0. C. Both grades are equal. They have the same z-score (z = 1.5).
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