Use an analysis of variance with = .05 to determine whether these data indicate any significant mean differences among the treatments. Treatment 1 0 0 0 3 0 0 Treatment 2 2 3 1 3 2 1 Treatment 3 4 2 4 3 4 4 1. A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group gets regular quizzes, one group gets three large exams, and the third group only gets a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. Do these data indicate any significant differences among the three methods? Test with = .05. Quizzes 0 0 0 3 0 0 Exams 2 3 1 3 2 1 Final Only 4 2 4 3 4 4 2. An analysis of variance produces SSbetween = 30, SSwithin = 60, and an F-ratio with df = 2, 15. For this analysis a. What is the F-ratio? b. What do we conclude about the null hypothesis? 4. Use an ANOVA with alpha= .05 to determine whether there are any significant differences among the three treatment means. I n=5 X =2 II n=5 X =5 III n =5 X =8 N = 15 G = 75 T = 10 T = 25 T = 40 X 2=525 SS = 16 SS = 20 SS = 24 \f\f\f