An experiment was carried out to compare electrical resistivity for six differen

Question

An experiment was carried out to compare electrical resistivity for six different low-permeability concrete bridge deck mixtures. There were 26 measurements on concrete cylinders for each mixture; these were obtained 28 days after casting. The entries in the accompanying ANOVA table are based on information in an article. Fill in the remaining entries. (Round your answer for f to two decimal places.) Sum of Squares df Mean Square Source Mixture Error Total 13.839 5664.485 Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let ?,-the true mean electrical resistivity for the ith mixture.) Ha: at least two li's are unequal Hai all six ?'s are equal Hai all six ?'s are unequal Hal at least two A's are equal Give the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? P-value 0.100 0.050

Explanation / Answer

df for mixture =number f mixtures-1 =6-1 =5

and error df =6*26-6=150

hence from above below is ANOVA table:

test statistic F =51.86

Source df SS MS F mixture 5 3588.635 717.727 51.86 error 150 2075.85 13.839 total 155 5664.485

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