A Company That Fills Containers of Water Has Four Machines

Essay

A company that fills containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 containers,we have the following data of fill measures in litres: $$\begin{array} { l l l l l } & \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } & \text { Machine 4 } \\\mathrm { N } & 4 & 6 & 5 & 4 \\\bar { x } & 4.03 & 4.0017 & 3.974 & 4.005 \\\mathrm {~S} & 0.0183 & 0.0117 & 0.0182 & 0.0129\end{array}$$ and the following partial ANOVA table (with "group" labeled as "treatment"): $$\begin{array} { l c c c c } \text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \\\text { Treatments } & & & 0.002359 \\\text { Errors } & & & \\\text { Total } & 0.010579 & &\end{array}$$
-Determine the degrees of freedom for the treatment,error,and total and state the critical value of the F statistic at a= 05.