The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).1:20.628.127.827.027.925.225.327.120.531.22:26.524.026.220.223.634.017.126.823.724.83:30.234.027.529.428.326.229.929.530.035.84:36.644.234.130.332.033.134.132.936.325.2 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: all four ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: at least two ?i's are unequalSummarize the results in an ANOVA table. (Round your answers two decimal places.)SourcedfSum ofSquaresMeanSquaresfTreatments Error Total Give the test statistic. (Round your answer to two decimal places.) The following data was reported on total Fe for four types of iron formation (1=USE SALT1: 20.6 28.1 27.8 27.0 27.9 25.2 25.3 27.1 20.5 31.22: 26.5 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 24.83: 30.2 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 35.84: 36.6 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.2Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.Ho: M₁ M₂ M3 M4H₂: at least two μ's are equalO Ho: M₁ = M₂ = μ3 = μ4H₂: all four μ's are unequalHo: M₁ M₂ M3 ‡μ4#Ha: all four μ's are equalO Ho: M₁ = μ₂ = μ3 = μ¹4Ha: at least two μ's are unequalSourceSummarize the results in an ANOVA table. (Round your answers two decimal places.)Sum of MeanSquares SquaresErrorTotalTreatmentscarbonate, 2 = silicate, 3 = magnetite, 4 = hematite).dffGive the test statistic. (Round your answer to two decimal places.)f =

The data shows the total Fe for four type of iron formation.

Answered: The following data was reported on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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

1:	20.6	28.1	27.8	27.0	27.9	25.2	25.3	27.1	20.5	31.2
2:	26.5	24.0	26.2	20.2	23.6	34.0	17.1	26.8	23.7	24.8
3:	30.2	34.0	27.5	29.4	28.3	26.2	29.9	29.5	30.0	35.8
4:	36.6	44.2	34.1	30.3	32.0	33.1	34.1	32.9	36.3	25.2

Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.

H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄
H_a: at least two ?_i's are equalH₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: all four ?_i's are unequal H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄
H_a: all four ?_i's are equalH₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: at least two ?_i's are unequal

Summarize the results in an ANOVA table. (Round your answers two decimal places.)