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: 21.0 28.1 27.8 27.0 27.9 25.2 25.3 27.1 20.5 31.1 2: 26.2 24.0 26.2 20.2 24.2 34.0 17.1 26.8 23.7 24.5 3 29.9 34.0 27.5 29.4 27.7 26.2 29.9 29.5 30.0 36.5 4: 36.9 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.8 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses Hai all four A's are unequal Ha: at least two 's are unequal Ha: all four 's are equal Ha: at least two 's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Squares Squares Source df Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)

Explanation / Answer

The ANOVA output for this problem is:

ANOVA table

Hence,

f = 11.23

Source DF SS MS F-Stat Treatment 3 524.63 174.88 11.23 Error 36 560.47 15.57 Total 39 1085.10

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