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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.)

Sagot :

abiolataiwo2015

Assuming  there were 26 measurements on concrete cylinders for each mixture. Alternative Hypothesis at α=0.01 will be rejected.

Hypothesis

Electrical resistivity(I)=6

Concrete cylinder measurement(J)=26

First step

Degree of freedom for  SSb=I-1=(6-1)=5

Degree of freedom for SSw=I(1-J)=6(1-26)=150

Degree of freedom for SSr=IJ-1=(6×26)-1=155

Second step

Mean square(MSw)=13.929

SSw=MSw×I(J-1)

SSw=13.929×150

SSw=2,089.35

Third step

SSb=SSt-SSw

SSb=5,664.415-2,089.35

SSb=3,575.065

Fourth step

MSb=SSb(I-1)

MSb=3,575.065/(1-6)

MSb=3,575.065/5

MSb=715.013

Fifth step

F=MSb/Msw

F=715.013/13.929

F=51.33

The complete table is:

Source   df      Sum of squares       Mean square      F

Mixture    5         3,575.065                715.013              51.33

Error        150       2,089.35                 13.929

Total       155       5664.415

Therefore, since 51.33 is greater than 11.97 we are going to reject the hypothesis at α=0.01.

Inconclusion Hypothesis at α=0.01 will be rejected.

Learn more about hypothesis here:https://brainly.com/question/11555274

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