A professor records the following final exam scores: 78 ± 7 (M ± SD).Students scoring in the top 14% get an A. What is the cutoff score for the top 14% in this example?
A) 1.08
B) 70.44
C) 85.56
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

To find the cutoff score for the top 14%, we need to calculate the z-score corresponding to the 86th percentile (100% - 14%). Using a standard normal distribution table, we can find that the z-score corresponding to the 86th percentile is approximately 1.08. So, we can use the formula z = (x - M) / SD, and solve for x to find the cutoff score: x = z * SD + M = 1.08 * 7 + 78 = 85.56. Therefore, the cutoff score for the top 14% in this example is 85.56.

A Professor Records the Following Final Exam Scores: 78 ±