Five identical batches of chemicals were mixed at different temperatures and the
ID: 3182925 • Letter: F
Question
Five identical batches of chemicals were mixed at different temperatures and the resulting compound yields were measured in pounds and the results recorded as follows: a. Calculate the overall mean, x. Show calculation details here, not just computer or calculator results. b. Calculate SSA. Show calculation details here, not just computer or calculator results. c. Calculate SSW. Show calculation details here, not just computer or calculator results. d. Calculate MSA. Show calculation details here, not just computer or calculator results. e. Calculate MSW. Show calculation details here, not just computer or calculator results.Explanation / Answer
a)overall mean=(34+24+36+39+32+30+31+34+23+27+23+28+28+30+31)/15=30.
b)SSW=(34-33)^2+(24-33)^2+(36-33)^2+(39-33)^2+(32-33)^2+(30-29)^2+(31-29)^2+(34-29)^2+(23-29)^2+(27-29)^2+(23-28)^2+(28-28)^2+(28-28)^2+(30-28)^2+(31-28)^2=236.
c)SSA=5*(33-30)^2+5*(29-30)^2+5*(28-30)^2=70
d)Degree of freedom within=m(n-1)=5*4=20
D.O.F among=m-1=5-1=4.
d)MSA=SSA/D.O.F(Among)=70/4=17.5
e)MSW=S.S.B/D.O.F(Between)=236/20=11.8.
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