=+19. An experiment was conducted to investigate how the length of steel bars is affected by the time of day (A), heat treatment applied (B), and machine used (C).

The three times were 8:00 a.m., 11:00 a.m., and 3:00 p.m. Two types of heat and four machines were used. The data from this 3 3 2 3 4 factorial design is given in the following table. Note: Data is coded as 1000(length 2 4.380); this does not affect the analysis.

B1 C1 C2 C3 C4 A1 6, 9, 1, 3 7, 9, 5, 5 1, 2, 0, 4 6, 6, 7, 3 A2 6, 3, 1, 21 8, 7, 4, 8 3, 2, 1, 0 7, 9, 11, 6 A3 5, 4, 9, 6 10, 11, 6, 4 21, 2, 6, 1 10, 5, 4, 8 B2 C1 C2 C3 C4 A1 4, 6, 0, 1 6, 5, 3, 4 21, 0, 0, 1 4, 5, 5, 4 A2 3, 1, 1, 22 6, 4, 1, 3 2, 0, 21, 1 9, 4, 6, 3 A3 6, 0, 3, 7 8, 7, 10, 0 0, 22, 4, 24 4, 3, 7, 0

a. Construct an ANOVA table for this data.