Question: A business statistics instructor at State University has been experimenting with her testing procedure. This term, she has taken the approach of giving two tests over each section of material. The first test is a problem oriented exam, in which students have to set up and solve applications problems. The exam is worth 50 points. The second test, given a day later, is a multiple choice test, covering the concepts introduced in the section of the text covered by the exam. This exam is also worth 50 points. In one class of 15 students, the observed test scores over the first section of material in the course are contained in the file State University.
a. If the instructor is unwilling to make the assumptions for the paired-sample t-test, what should she conclude based on these data about the distribution of scores for the two tests if she tests at a significance level of 0.05?
b. In the context of this problem, define a Type II error.