. In testing the difference between group means for a one-way ANOVA, what is the importance of between group variability and within group variability? (1 mark) b. What is the purpose of post hoc tests in ANOVA? Under what circumstances are post hoc tests not needed or appropriate? (2 marks) c. For the following research situations please what would be your two main effects and the interaction effect. If there was a significant interaction effect what would that mean? (please be as clear as possible in your explanation): An instructor teaches two courses: one taught in the typical classroom setting and one taught online. She believes students taking the classroom course are more likely to keep up with the assigned course readings than students in the online course; furthermore, she believes this difference is greater for students living off-campus than on-campus. (2 marks) A researcher hypothesizes that the effect of alcohol consumption on one's motor skills depends on the person's weight (underweight, normal, overweight), but that this may differ for men versus women. (2 marks)