To estimate the various components of variability in a filtration process, the percent of material lost in the mother liquor is measured for 12 experimental conditions. 3 runs on each condition. Three filters and 4 operators are selected at random to use in the experiment, resulting in the following measurements:

(a) Test the hypothesis of no interaction variance component between filters and operators at the α =

0.05 level of significance.

(b) Test the hypotheses that the operators and the filters have no effect on the variability of the filtration process at α = 0.05 level of significance.

(c) Estimate the components of variance due to filters, operators, and experimental error.

Transcribed Image Text:

Operator Filter 2 3 14.9 15.2 14.9 15.4 16.2 15.9 16.8 15.1 17.1 16.6 16.9 16.8 16.5 17.2 16.7 16.5 16.4 15.6 15.9 14.5 16.1 16.1 16.0 14.6 15.9 16.3 16.0 16.1 16.9 17.4 16.9 15.4 17.1 16.8 16.9 15.6 2. రి