The following data was reported on total fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).

1: 20.3 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1
2: 26.4 24.0 26.2 20.2 23.7 34.0 17.1 26.8 23.7 24.7
3: 29.9 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 36.0
4: 37.2 44.2 34.1 30.3 31.9 33.1 34.1 32.9 36.3 25.5

carry out an analysis of variance f test at significance level 0.01. state the appropriate hypotheses.