A study explored the effect of ethanol on sleep time. Fifteenrats were randomized to one of three treatments. Treatment 1 waswater (control). Treatment 2 was 1g of ethanol per kg of bodyweight, and Treatment 3 was 2g/kg. The amount of REM sleep (inminutes) in a 24hr period was recorded: Treatment 1: 63, 54, 69,50, 72 Treatment 2: 45, 60, 40, 56 Treatment 3: 31, 40, 45, 25, 23,28 Are these data strong evidence REM sleep time differs across thethree treatment populations?
(a) Graph the data. Why did you choose the graph that you didand what does it tell you?
(b) Create an ANOVA table for the data using your calculator (toprepare for exams). Show your work. You may use R to check youranswers.
(c) Evaluate the ANOVA assumptions graphically. Was ANOVAappropriate here?
(d) Based on the ANOVA table, make a conclusion in the contextof the problem.
(e) Use R to create 95% CIs for all pairwise comparisons ofmeans using the Tukey-Kramer method. Summarize your results usingletter codes. What do you conclude?
Please complete and show all work and R codes for part Eonly. Thank you!
