The accompanying data resulted from an experiment involving three different brands of lathe in combination with three different operators (the blocking factor). The response variable is the percentage of acceptable product produced during a full workday shift (from "A Software- Based Resource Selection Process in Competitive Network Environment Using ANOVA," Intl. J. of Computer Applications, 2012: 17-21).

a. Construct the ANOVA table and test at level .05 to see whether brand of lathe has an effect on product acceptability.
b. Judging from the F ratio for operators (factor B), do you think that blocking on operators was effective in this experiment? Explain.

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Operator 186 85 82 Brand2 86 86 83 3 88 985