There are two college entrance exams that are often taken by students. Exam A an
ID: 3225204 • Letter: T
Question
There are two college entrance exams that are often taken by students. Exam A and Exam B. The composite score on Exam A is approximately normally distributed with mean 20.6 and standard deviation 4.9. The composite score on Exam B is approximately normally distributed with mean 1029 and standard deviation 208. Suppose you scored 24 on Exam A and 1209 on Exam B. Which exam dis you score better on? Justify your reasoning using the normal model. A. The score on Exam A is better, because the difference between the score and the mean is lower than it is for Exam B. B The score on Exam B is better, because the score us higher than the score for Exam A C. The score or Exam B is better, because the percentile for the Exam B score is higher D. The score on Exam A is better, because the percentile for the Exam A score is higher.Explanation / Answer
Z score for A = (X-mean)/standard deviation
(24-20.6)/4.9 = 0.694
Z score for B = (X-mean)/standard deviation
= (1209 - 1029)/208 = 0.865
Higher Z score is for B, So, The score on B is better, because the percentile for B is higher. (Option C)