The following data was reported on total Fe for four types of iron formation (1

Question

The following data was reported on total Fe for four types of iron formation (1 carbonate, 2 silicate, 3 = magnetite, 4 = hematite). 1: 20.7 28.1 27.8 27.0 28.2 25.2 25.3 27.1 20.5 31.1 2: 26.2 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.5 3: 30.3 34.0 27.5 29.4 27.9 26.2 29.9 29.5 30.0 35.6 4: 37.0 44.2 34.1 30.3 31.9 33.1 34.1 32.9 36.3 25.2 Carry out an analysis of variance F test at significance l 0.01. State the appropriate hypotheses. Hai all four 's are equal Ha: at least two 's are unequal Hai all four 's are unequal Ha: at least two u's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Source f Sqares Squares Treatments Total Give the test statistic. (Round your answer to two decimal places.)

Explanation / Answer

From the statistical software output, the ANOVA table will be:

ANOVA table

f = 11.10

Source DF Sum of Squares Mean Squares f Treatments 3 523.15 174.38 11.10 Error 36 565.39 15.71 Total 39 1088.53

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