Average afternoon temperatures for 4 different locations during the study period

You will need sample means and sample variances for each of the groups. These are:

Urban: Mean = 83F; Variance = 3.8, N = 8

Grassland: Mean = 75F; Variance = 2 . 5 , N = 5

Forest: Mean = 68F; Variance = 1.4; N = 6

Wetland: Mean = 72F; Variance= 1.5; N = 3

1. What does the acronym ANOVA represent?
2. What is the purpose of the 'ANOVA' test in statistics?
3. Using the data above, perform an ANOVA to determine if there are significant differences between the groups. Use the significance levels: 0.05 and 0.01.
4. What is your sampling distribution for this test? (Hint: what distribution do you use to find your critical values?)
5. What are your degrees of freedom? (Fin d bo th DF1 and DF2)
6. What are your F-critical values [at 5% and 1% levels]?
7. State your Null and Alternate (or research) hypotheses.
8. What is your "Between group Variance"? (Note--this is TOUGH! You may check your answer with me via a private inbox message before proceeding. However, be sure to send me all of your work so that I can tell you where you went off-track if there is an issue)
9. What is your "Within group Variance"? (This is also challenging, the same offer applies)
10. What is your calculated F-value (F-ratio)?
11. What can you conclude from the test results? Include a statement about whether you rejected or failed to reject your Null hypothesis etc.
12. What are the disadvantages of the ANOVA. In other words, what are the limitations of this test?
13. From the lecture, what is the Multiple Means Comparison (Post Hoc) Test used for? What are the advantages of this test over a traditional ANOVA?

Make sure to show the work.