13. [-/6.66 Points] DETAILS DEVORESTAT9 11.SE.053.MI. MY NOTES In an automated chemical coating process, the speed with which objects on a conveyor belt are passed through a chemical spray (belt speed), the amount of chemical sprayed (spray volume), and the brand of chemical used (brand) are factors that may affect the uniformity of the coating applied. A replicated 2" experiment was conducted in an effort to increase the coating uniformity. In the following table, higher values of the response variable are associated with higher surface uniformity. Surface Uniformity Spray Belt Rur Replication Replication Volume Speed Brand 1 2 1 39 39 2 + 25 29 3 - + 30 31 4 + + 50 48 5 + 45 41 6 + + 25 30 7 + 30 29 8 51 47 Analyze this data and state your conclusions. 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 & # 0 HOAB: all y AB's = 0 HOAC: all Yik BC'S = 0 HOBC: all Yjk HaAB: at least one yi AB + 0 Hand: at least one Yik AC # 0 HaBC: at least one Yjk BC + 0 HOABC: all Yijk'S = 0 HaABC: at least one Yijk # 0 Let A = spray volume, B = belt speed, C = brand. (Use a = 0.05. Round your answers to two decimal places.) Source df SS MS Fo.05 A B C ABHoA: 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 & # 0 HOAB: all vij 's = 0 HOAC: all Yik AC's = 0 HOBC: all Yjk 's = 0 HaAB: at least one yij y AB # 0 HaAC: at least one Yik AC + 0 HaBC: at least one Yjk BC # 0 HOABC: all Yijk'S = 0 HaABC: at least one Yijk # 0 Let A = spray volume, B = belt speed, C = brand. (Use a = 0.05. Round your answers to two decimal places.) Source df SS MS f Fo.05 4 B C AB AC BC ABC Error Total Which null hypotheses should be rejected? (Consider only the hypotheses which are appropriate to test. Select all that apply.) O HOA O HOB O Hoc O HOAB O HOAC O HOBC O HOABC O No null hypotheses should be rejected. You may need to use the appropriate table in the Appendix of Tables to answer this