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 20.9 28.1 27.8 27.0 28.2 25.2 25.3 27.1 20.5 31.5 2: 26.1 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.9 3: 30.434.0 27.5 29.4 27.9 26.2 29.9 29.5 30.0 36.4 4: 36.4 44.2 34.1 30.3 31.9 33.1 34.1 32.9 36.3 25.7 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses Hai at least two ?'s are equal Hai all four H's are unequal Ha: al four us are equal Ha: at least two ui's are unequal Summarise the result in an ANOVA table(nserstwo decimal lces ) Sum of Mean Squares Squares Source df 10.99X 36 Error Total 39 Give the test statistic. (Round your answer to two decimal places.)

Explanation / Answer

By using excel we can solve this question easily.

First, enter all data into excel.

Click on Data -------> Data Analysis--------> Anova: Two-Factor Without Replication-----> Input Data -------> Select all data -------> Output Range : Select any empty cell --------> ok

We get

f = 11.03

P-value < 0.01 we reject null hypothesis.

Conclusion: At least one of the means are not equal.

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 519.10 3.00 173.03 11.03 0.00 2.87 Within Groups 564.87 36.00 15.69 Total 1083.97 39.00

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