Data was collected on youths (in grades 9-12) on if they smoke cigarettes regularly (Yes, No), if they smoked marijuana regularly (YesM, NoM), and the number of hours of sleep they get (on average). Group means for all factors, and all treatment levels follow: Vij No Yes Y.. 7.073 NOM 7.10 5.00 YesM 6.92 5.97 6.71 Y.j. 7.04 5.90 Y... = 6.94 (a) Write down the no-interaction two-way ANOVA model, and its assumptions/constraints. (b) Write down the interaction two-way ANOVA model, and its assumptions/constraints. (c) Is there a significant effect from smoking cigarettes on sleep? Explain your answer. (d) Is there a significant effect from smoking marijuana on sleep? Explain your answer. (e) Is there an interaction effect between smoking cigarettes and smoking marijuana on sleep? Explain your answer.