The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).
1. 20.9 28.1 27.8 27.0 28.2 25.2 25.3 27.1 20.5 31.5
2. 26.1 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.9
3. 30.4 34.0 27.5 29.4 27.9 26.2 29.9 29.5 30.0 36.4
4. 36.4 44.2 34.1 30.3 31.9 33.1 34.1 32.9 36.3 25.7
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
O H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄
Hₐ: at least two μ₁'s are equal
O H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄
Hₐ: all four μ₁'s are unequal
O H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄
Hₐ: all four μ₁'s are equal
O H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄
Hₐ: at least two μ₁'s are unequal