A plant that runs three shifts would like to know whether the three shifts are equal in average productivity. The productivity breakdown is presented in the following table.

(a) Are average productivities of the three different shifts the same? Do a 5 % test, using a one-way ANOVA.

(b) Are the average productivities of the three different shifts different? Do a 5 % test. Consider the weekday factor in testing this hypothesis.

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Day Monday Tuesday Wednesday Thursday Friday Shift 1 30 40 40 40 20 Shift 2 40 50 40 30 30 Shift 3 20 30 30 20 20