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Sagot :
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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