Table represents immunoglobulin levels (with each observation being the IgA immunoglobulin level measured in international units) of children under 10 years of age of a particular group. The children are grouped as follows: A: ages 1 to less than 3, B: ages 3 to less than 6, C: ages 6 to less than 8, and D: ages 8 to less than 10. Test whether there is a difference between the means for each of the age groups. Use α = 0.05. Interpret your results and state any assumptions that were necessary to solve the problem.
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Table
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|
A
|
35
|
8
|
12
|
19
|
56
|
64
|
75
|
25
|
|
B
|
31
|
79
|
60
|
45
|
39
|
44
|
45
|
62
|
20
|
66
|
|
C
|
74
|
56
|
77
|
35
|
95
|
81
|
28
|
|
D
|
80
|
42
|
48
|
69
|
95
|
40
|
86
|
79
|
51
|