Discussion:
In a study of how external clues influence performance, psychology professors at the University of Alberta and Pennsylvania State University gave two different forms of a midterm examination to a large group of introductory psychology students.
In one form of the exam the questions were printed on blue paper, and in the other form of the exam the questions were printed on red paper. Grading only the difficult questions, the researchers found the scores on the blue exam had a distribution with a mean of 53% and a standard deviation of 15%, while the scores on the red exam had a distribution with a mean of 39% and a standard deviation of 12%.
Q: Assuming that both distributions are approximately normal, on which exam is a student more likely to score below 20% on the difficult questions, the blue one or the red one? Explain.