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.

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

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?

• There is significant evidence at .05 t o show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
• There is not significant evidence at alpha .05 to show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
• There are not enough data points to reach a conclusion.
• The tied value makes the analysis suspect.

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