3. [5.15/20 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 11.SE.054. MY NOTES PRACTICE ANOTHER Coal-fired power plants used in the electrical industry have gained increased public attention because of the environmental problems associated with solid wastes generated by large-scale combustion. A study was conducted to analyze the influence of three factors-binder type (A), amount of water (B), and land disposal scenario (C)-that affect certain leaching characteristics of solid wastes from combustion. Each factor was studied at two levels. An unreplicated 2 experiment was run, and a response value EC50 (the effective concentration, in mg/L, that decreases 50% of the light in a luminescence bioassay) was measured for each combination of factor levels. The experimental data is given in the following table: Factor Response Run A B C EC50 1 -1 -1 -1 23,500 -1 -1 41,000 W N -1 1 -1 71,200 1 -1 76,000 -1 -1 1 37,000 co O UT A -1 33,500 17,000 16,500 The hypotheses are as follows: HoA: all a's = 0 HOB: all Bis = 0 Hoc: all 8 's = 0 Ha: at least one a; # 0 HaB: at least one , # 0 Hac: at least one & # 0 HOAB: all y 's = 0 HOAC: all YikAC's = 0 BC'S = 0 HOBC: all Yjk HaAB: at least one yij yaAB # 0 Hac: at least one Yik # 0 HaBc: at least one yik BC # 0 Carry out an appropriate ANOVA, and state your conclusions. (Use a = 0.05. Round your answers for SS and MS to the nearest whole number and your answers for f to two decimal places.) Source df SS MS Fo.05HoA: all a's = 0 HOB: all Bi's = 0 Hoc: all & 's = 0 HaA: at least one a, # 0 HaB: at least one B, # 0 Hac: at least one 8k # 0 AB'S = 0 HOAB: all Yij HOAC: all Yik 's = 0 YAKBC'S = 0 HOBC: all Yjk HaAB: at least one y AB # 0 HaAC: at least one yik AC $ 0 HaBC: at least one Yjk BC + 0 Carry out an appropriate ANOVA, and state your conclusions. (Use a = 0.05. Round your answers for SS and MS to the nearest whole number and your answers for f to two decimal places.) Source df SS MS f Fo.05 1 1 49501250 X 41,861,250 49501250 X 41,861,250 1.209 X 1.36 5.59 X 161.45 A 1 1 243101250 X 261,061,250 243101250 X 261,061,250 5.936 X 8.47 5.59 X 161.45 B 1 1 1515251250 X 1,449,911,250 1515251250 X 1,449,911,250 37.00 X 47.06 5.59 X 161.45 C 1 1 17111250 X 11,761,250 17111250 X 11,761,250 0.38 5.59 161.45 AB 0.418 X X 1 1 86,461,250 86,461,250 2.81 161.45 AC 100111250 x 100111250 x 2.445 X 5.59 X BC 1 1 1731661250 x 1,791,011,250 1731661250 X 1,791,011,250 42.29 42.29 X 58.13 5.59 X 161.45 1 1 Error 40951250 X 30,811,250 40951250 X 30,811,250 7 Total 7 V 16310000000000 X 3,672,878,750Which null hypotheses should be rejected? (Select all that apply.) O HOA O HOB O Hoc O HOAB O HOAC O HOBC No null hypotheses should be rejected