Question

In a study of how external clues influence performance, university professors gave two different forms of a midterm tests to a large group of introductory students. The questions on the test were identical and in the same order, but one test was printed on blue paper and the other on red paper (Teaching Psychology, May 1998). Grading only the difficult questions on the test, the researchers found that scores on the blue test had a distribution with a mean of 53% and a standard deviation of 15%, while scores on the red test had a distribution with a mean of 39% and a standard deviation of 12%. (Assume that both distributions are approximately mound-shaped and symmetric.) a. Give an interpretation of the standard deviation for the students who took the blue test. b. Give an interpretation of the standard deviation for the students who took the red test. c. Suppose a student is selected at random from the group of students who participated in the study and the student’s score on the difficult questions is 20%. Which test form is the student more likely to have taken, the blue or the red test? Explain.

Answer 1

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