Reference no: EM132854751

1. Four methods have been developed for extracting oil from shale, and the government has decided that some experimentation should be done to determine whether the methods differ significantly in the average amount of oil that each can extract from the shale. Sixteen bits of shale (of the same size) were randomly subjected to the four methods, with the results shown in the accompanying table (the units are in liters per cubic meter).

ANOVA TABLE FOR One Way ANOVA

SST = 32.94, SS(Method) = 8.19

(a) Write down the factors, levels and the Model for the above problem.

(b) Assuming that the 16 experimental units were as alike as possible, implement the appropriate ANOVA to determine whether there is any significant effect of the methods on the amounts extracted. Use α = 0.05.

(c) Are the Method-1 and Method-4 significantly different in terms of average amount extracted at 5% level?

Method 1
Method 2
Method 3
Method 4
3
2
5
5
2
2
2
2
1
4
5
4
2
4
1
5
T1 = 8
T2 = 12
T3 = 13
T4 = 16