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?   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. 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. There are not enough data points to reach a conclusion. The tied value makes the analysis suspect.

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  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.
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