Consider the data set below of the 14†pizzas at Little Italy.There are two pizza chefs (Anna and Lorenzo, Factor A), two workshifts (day and evening, Factor B), and two dough companies (Syscoand PFG Holdings, Factor C). For each combination, there are fourpizzas made (n = 4). The diameter of each pizza ismeasured.
                                                                       Measurements                                              Â
Pizza                                      Anna                                                 Lorenzo
Dough              Shift            1         2       3       4                   1           2       3       4
Sysco                 Day            14.1    14.1    14.2    14.1               14.2    14.1    14.1    13.9
Sysco                 Evening      14.1    14.2    14.3    14.2               14.3    14.2    14.3    14.1
PFG Holdings    Day            13.9    14.0    14.0    14.1               13.9    13.9    13.8    13.9
PFG Holdings    Evening      13.8    13.7    13.9    14.0               14.3    14.2    14.2    14.1
Using the main effects and the interactions effects and thecontrasts you calculated in part 1:
- Calculate the SS of each factor, the factor interactions, theerror, and the total.
- Construct the ANOVA table showing the MS of each factor,interaction and error, along with the F values.
- Which main effects and interactions are significant at 95%confidence?
