please use r code to solve the problem

(a) Fill in the blanks for the following ANOVA table: Source SS df MS F Treatments 25.06 Error ? . Total 140.55 17 (b) What are t and N? (c) Find the appropriate p-value for this test. What do you conclude at signicance level a = 0.1? A study was conducted to explore the effects of ethanol on sleep time. Fifteen rats were randomized to one of three treatments. Treatment 1 got only water (control). Treatment 2 got 1g of ethanol per kg of body weight, and treatment 3 got 2g/kg. The amount of REM sleep in a 24hr period was recorded, in minutes. Data are below: Treatment 1: 63, 54, 69, 50, 72 lTreatment 2: 45,60, 40, 56 lTreatment 3: 31, 40, 45, 25, 23, 28 (a) Make a preliminary graph of the data (ok to do by hand if you prefer). Why did you choose the graph that you did and what does it tell you? (b) Calculate relevant summary statistics (sample mean, sample sd, and sample size) that will be useful in an ANOVA analysis. (0) Create an ANOVA table by hand for the data using the summary values above, including nding a pvalue. You may use R to check your answers. ((1) Evaluate the ANOVA assumptions numerically and graphically. Was ANOVA appropriate for this data? (e) Based on the ANOVA table, make a conclusion in the context of the problem, with o: = 0.05. Consider the ANOVA analysis you performed in problem 2. (a) Use R to obtain the relevant multiplier and then create 95% 015 for all pairwise comparisons of means using the 'I'ukey method. Do this by hand and show your work. Summarize your results using letter codes. What do you conclude? (b) Also create 95% 015 for all pairwise comparisons of means using the Bonferroni method. Explain the implications of choosing one multiple comparison method over the other for the pairwise comparisons of this data set