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 27.5 25.2 25.3 27.1 20.5 31.2 2: 26.1 24.0 26.2 20.2 23.9 34.0 17.1 26.8 23.7 24.8 3: 30.2 34.0 27.5 29.4 28.4 26.2 29.9 29.5 30.0 36.1 4: 36.3 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.3 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Source df Sum of Squares Mean Squares f Treatments Error Total Give the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Fail to reject H0. There is insufficient evidence to conclude that the total Fe differs for the four formations. Reject H0. There is insufficient evidence to conclude that the total Fe differs for the four formations. Fail to reject H0. There is sufficient evidence to

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:	20.3	28.1	27.8	27.0	27.5	25.2	25.3	27.1	20.5	31.2
2:	26.1	24.0	26.2	20.2	23.9	34.0	17.1	26.8	23.7	24.8
3:	30.2	34.0	27.5	29.4	28.4	26.2	29.9	29.5	30.0	36.1
4:	36.3	44.2	34.1	30.3	32.0	33.1	34.1	32.9	36.3	25.3

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

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

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

Source	df	Sum of Squares	Mean Squares	f
Treatments
Error
Total

Give the test statistic. (Round your answer to two decimal places.)
f =

What can be said about the P-value for the test?

P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001

State the conclusion in the problem context.

Fail to reject H₀. There is insufficient evidence to conclude that the total Fe differs for the four formations. Reject H₀. There is insufficient evidence to conclude that the total Fe differs for the four formations. Fail to reject H₀. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations. Reject H₀. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations.