Question

1. An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms. The following are endotoxin levels in units per milligram of dust sampled from children’s mattresses, organized by children’s proximity to farms.

Within 5 Miles                  54        62        78        90        70       

5-24.9 Miles                      28        42        39        81        65       

25-49.9 Miles                    37        29        30        50        53       

50 Miles or More               36        19        22        28        27       

				Total Sample (Ordered Smallest to Largest)
< 5 Miles	5-24.9 Miles	25-49.9 Miles	50+ Miles	< 5 Miles	5-24.9 Miles	25-49.9 Miles	50+ Miles

Apply the Kruskal Wallis test at a 5% level of significance.

            Alpha= ________

                  df= ________

Critical value= ________

                   H= ________

Based on comparing H to the critical value to the Critical value which of the following is (are) true?

1. There is significant evidence at alpha=0.05 t o show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
2. There is not significant evidence at alpha =0.05 to show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
3. There are not enough data points to reach a conclusion.
4. The tied value makes the analysis suspect.

Answer 1