An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin (what type of variable is this?) as a function of their proximity to operating farms (categorized into 4 groups). 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
|
5-24.9 miles
|
25-49.9 miles
|
50 miles or more
|
|
54
|
28
|
37
|
36
|
|
62
|
42
|
29
|
19
|
|
78
|
39
|
30
|
22
|
|
90
|
81
|
81
|
28
|
Select the most appropriate test statistic and run the appropriate test at a 5% level of significance. Calculate the appropriate test statistic (step 4 of the hypothesis testing). Round to 3 decimals