A study explored the effect of ethanol on sleep time. Fifteen rats were randomized to one...

80.2K

Verified Solution

Question

Statistics

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!

Answer & Explanation Solved by verified expert

4.2 Ratings (799 Votes)

Solution Given thatThe amount of REM sleep in minutes in a 24hr period wasrecordedTreatment 1 63 54 69 50 72Treatment 2 45 60 40 56Treatment 3 31 40 45 25 23 28a Graph the data Why did you choose the graph thatyou did and what does it tell youWe will graph the data using boxplot to compare the amount ofREM sleep for three different treatmentsIt tells that the mean amount of REM sleep is highest fortreatment 1 and lowest for treatment 3R code used to See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member