Design 2 (x1, X2 datal: A teacher was always told that the best testing format f
ID: 3322965 • Letter: D
Question
Design 2 (x1, X2 datal: A teacher was always told that the best testing format for college students was multiple choice, because that format allowed a more accurate measure of a student's knowledge. To test this hypothesis, he tested one random sample of college freshmen with true/false questions (x1) and another random sample of college freshmen with multiple choice questions (x2). The dependent variable was the number of points earned out of twenty possible. As listed above, use the x1 cell above to represent the students' scores taking the true/false test, and the x2 cell above to represent the students' scores taking the multiple choice test. 39. What is the correct statistical test to use? How do you know? HTML EditorExplanation / Answer
For testing which method is better, the teacher should mind that in which method the scores are varied widely, that method is more appropriate to test students' knowledge. If we can show that in the true/false question, the students got a nearly homogeneous set of scores and in multiple Choice question their scores vary widely among themselves, then definitely the 2nd method is best. Because,we can appropriately distinguish a student's knowledge in the 2nd mathod.
So, a test for variance is appropriate here. The F-test for equality of two variances would be used under the alternative hypothesis that variance of x1 scores are lower than variance of the x2 scores.