4. [-/20 Points] DETAILS DEVORESTAT9 11.3.028. MY N To see whether thrust force in drilling is affected by drilling speed (A), feed rate (B), or material used (C), an experiment using four speeds, three rates, and two materials was performed, with samples (L = 2) drilled at each combination of levels of the three factors. Sums of squares were calculated as follows: SSA = 19,130.90, SSB = 2,588,191.23, SSC = 157,437.97, SSAB = 52,4 SSAC = 9,042.01, SSBC = 92,111.90, SSE = 56,861.51, and SST = 3,006,305.73. The hypotheses are as follows: HoA: all a;'s = 0 HOB: all Bj's = 0 Hoc: all 8k's = 0 HaA: at least one a; # 0 HaB: at least one B, * 0 Hac: at least one 8k # 0 HOAB: all vij 'S AC'S = 0 HOAC: all Yik S HOBC: all Yjk BC'S = 0 HaAB: at least one y # # 0 HaAc: at least one yik yAC # 0 HaBc: at least one Yjk y. BC # 0 HOABC: all Yijk'S = 0 HaABC: at least one yijk * 0 Construct the ANOVA table and identify significant interactions using a = 0.01. (Round your answers to two decimal places.) Source df SS MS f Fo.01 A B C AB AC BC ABC Error TotalWhich interactions are signicant at level 0.01? (Select all that apply.) : AB (drilling speed and feed rate) AC (drilling speed and material used) : BC (feed rate and material used) : ABC (drilling speed, feed rate, and material used) No interactions are signicant at level 0.01. Is there any single factor that appears to have no effect on thrust force? (In other words, does any factor appear nonsignicant in every effect in which it appears?) 0 A (drilling speed) 0 B (feed rate) 0 C (material used) C All factors are signicant. You may need to use the appropriate table in the Appendix of Tables to answer this