Four samples of water were taken at five different locations along a river and measurements were obtained of the amount of E. Coli colonies within the water. Location 5 is the highest point on the stream and location 1 is the fruthest downstream. There is a polluting source abolve location 5.
a) Complete the partial ANOVA table:
|
Source
|
DF
|
Sum of squares
|
Mean Squares
|
F-statistic
|
P-value
|
|
Treatment
|
|
|
149.1
|
|
2.02e-06
|
|
Error
|
|
91.5
|
|
|
|
|
Total
|
19
|
|
|
|
|
b) Based on this analysis what can you conclude? Is it appropriate to perform pairwise comparisons? Explain.
c) In general, why is it important to meet the assumptions of the sampling distributions that we use for statistical interference?