Table 10.3.4 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.
Table 10.3.4

A 35 8 12 19 56 64 75 25 31 56 A 74 79 60 45 45 20 66 81 D 80 42 48 35 39 69 95 /4q 40 28 62 79 51