In: Statistics and Probability
Suppose you want to know if there is a difference in the average high temperatures in February 2019 for three different areas. you record the following temperatures randomly for the three cities.
A | B | C |
18 | -11 | 14 |
23 | 11 | 23 |
39 | 12 | 40 |
8 | 4 | 21 |
-4 | -2 | 12 |
You decide to run a one-way ANOVA test on this data.
A) write down the null and research hypotheses you are testing
B) What are the F- statistic and P value of your ANOVA test? interpret these numbers (explain).
C) What is the conclusion of your hypothesis test with significance of a=0.1?? Explain this conclusion in the context of this problem
D) If you wanted to compare the average temperatures pairwise, how many hypothesis tests would you have to perform (explain)?
E) It turns out the above daily high temperatures were recorded on the 4th, 8th, 12th, 18th, and 26th respectively of all three cities. Does this information change the test you would run? Explain.