In: Statistics and Probability
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below. Student 1 2 3 4 5 6 7 8 Marketing 82 86 74 93 90 76 87 100 Finance 76 91 70 79 96 70 85 81 If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores, and using LaTeX: \alpha α = 0.05, the conclusion for this hypothesis test would be that because the test statistic is _______________________________________________________. less than the critical value, we can conclude that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course less than the critical value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course more than the critical value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course more than the critical value, we can conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course