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

Question

The following data was reported on total Fe for four types of iron form ation (1-carbonate, 2-silicate, 3 = magnetite, 4hematite). 1: 20.5 28.1 27.8 27.0 27.9 25.2 25.3 27.1 20.5 31.1 2: 26.4 24.0 26.2 20.2 24.0 34.0 17.1 26.8 23.7 25.0 3: 29.7 34.0 27.5 29.4 27.6 26.2 29.9 29.5 30.0 36.5 4: 37.2 44.2 34.1 30.3 32.1 33.1 34.1 32.9 36.3 25.6 Carry out an analysis of variance Ftest at significance level 0.01. State the appropriate hypotheses. Hai all four t's are unequal Ha: at least two 's are unequal Ha: at least two 's are equal Hai all four t's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Squares Squares df Source Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)

Explanation / Answer

The statistical software output for this problem is:

ANOVA table

Test statistic

f = 11

Source DF SS MS F-Stat Treatments 3 524.57 174.86 11.00 Error 36 572.06 15.89 Total 39 1096.63

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