1 D E F G 1 2 0 1 2 5 75 14 31 32 33 34 25 36 37 38 39 40 41 42 43 44 28 BO 50 28 100 28 SO 108 64 16 26 18 15 31 16 20 1 3 1 1 2. 1 1 1 3 2 2 1 2 1 2 1 1 1 2 1 1 2 2 1. An experiment was conducted in order to evaluate the effectiveness of two devices for improving the efficiency of car engine systems. Engine efficacy was measured after one of the two devices was fixed. The two devices were an electric vent-200F (200F) and electric vent-1495 (1498). The Engine efficacy data (BTU.In) are stacked in one column with a grouping column (Vent-type) containing identifiers or subscripts to denote the population. See attached excel file on tab (car_engine) Suppose that you performed a variance test and found no evidence for variances being unequal - Test the normality assumption (by graph and goodness of fit) and Show your work using confidence interval and hypothesis testing procedures to test the variances equality- (Solve manually and Minitab) 2 1 1 99 34 HO 99 99 6 SO 10 2 28 2 1 1 2 2 3.9 28 1 2 1 3 3 2 45 46 47 48 1 1 1 1 1 2 99 15 45 688888888888 H 9.82 12.91 10.35 9.6 9.58 9.83 9.52 18.26 10.64 6.62 5.2 12.28 7.23 2.97 8.81 9.27 11.29 8.29 9.96 10.3 16.06 14.24 11.43 10.28 13.6 5.94 10.36 6.85 6.72 10.21 25 26 16 32 16 18 20 31 39 15 32 25 21 23 20 16 17 31 27 14 1 J 10.55 200-F 13.89 200-F 10.72 200-F 9.22 200-F 10.61 200-F 10.04 200-F 10.2 200-F 20.55 200 11.75 200-F 7.08 200-F 5.5 200- 13.07 1495 7.6 1495 3.2 1495 9.28 1495 9.73 1495 11.73 1495 9.67 1495 10.76 1495 11.05 1495 17.63 1495 15.58 1495 12.53 1498 11.87 1495 14.19 149 6 BA 1495 11.89 1495 7.41 1495 7.42 1495 10.83 1495 72 70 28 72 96 49 100 49 Now you want to compare the effectiveness of these two devices by determining whether or not there is any evidence that the difference between the devices is different from zero. - (Solve manually and Minitab) 50 51 52 53 2 1 2 2 2. 9 1 30 40 50 60 12 1 3 1 3 3 2 2 2 1 1 1 3 1 3 1 1 2 2 1 1 55 56 57 58 59 60 28 38 72 28 1 1 1 2 2 1 2 1 99 90 F 55 1 2. 2 28 17 1 2 2 3 E F 5 64 D 16 28 1 61 62 63 1 2 2 2 1 2 28 1 65 66 67 17 29 12 20 22 2 O 2 1 D O H 8.61 11.62 11.21 10.95 7.62 10.4 12.92 15.12 12.47 12 S5 28 12 80 19 32 99 60 65 15 SS 3 1 1 1 2 90 AD 64 30 1 1 1 B D E CH.Area CH.Shape CH.HT CH.Liner Car 28 1 20 2 144 2 26 0 80 3 30 1 100 2 24 o 168 3 35 1 1 28 1 17 2 64 2 24 1 64 2 18 1 96 3 3 25 1 108 3 27 1 64 2 16 1 63 3 3 30 1 42 3 15 1 117 3 25 O 64 2 18 1 28 1 17 2 64 2 28 0 64 2 19 1 28 1 26 2 80 3 3 27 0 0 28 1 14 2 28 1 23 2 64 2 17 1 30 64 2 27 0 64 2 19 1 50 1 18 1 50 1 18 1 50 1 18 1 11.7 7.73 1 9.44 1495 1294 1495 13.15 1495 11.69 1495 7.73 1495 11.94 1495 13.62 1495 17.07 1495 14.66 1495 956 1495 12.37 1495 8 33 1495 8.67 1495 11.27 1495 11.67 1495 9:37 1495 8.93 1495 G Monthes_used 3 8 2 75 2 2 44 2 75 2 30 3 2 45 1 16 5 45 5 40 1 22 2 40 1 13 2 2 99 1 19 2 30 2 60 2 30 2 10 2 60 1 24 2 70 1 1 12 2 60 2 40 1 17 4 15 1 1 18 1 4 H BTU.In 7.87 9.43 7.16 8.67 12.31 9.84 16.9 10.04 12.62 7.62 11.12 13.43 9.07 6.94 10.28 9.37 7.93 13.96 6.8 4 8.58 8 5.98 15.24 8.54 11.09 11.7 12.71 6.78 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 70 71 22 73 J BTU.Out Vent-type 8.25 200-F 9.66 200-F 8.33 200-F - 8.82 200-F 12.06 200- 9.67 200-F 17.51 200-F 10.79 200-F 13.59 200-F 7.99 200-F 12.64 200-F 14.42 200-F 9.25 200-F 7.79 200-F 11.29 200-F 10.26 200-F 9.46 200-F 14.77 200-F 7.21 200-F 4.29 200-F 9.81 200-F 8.41 200-F - 6.78 200-F 16.3 200-F 9.01 200-F 11.41 200-F 12.37 200-F 13.28 200-F 7.24 200-F - 50 SD 28 SD SD 50 SD 13 10 1 76 27 78 79 BD 19 15 18 18 15 16 17 15 1 1 1 5 28 28 2 2 1 1 1 1 1 2 1 1 1 1 1 2 1 2 2 2 - 1 2 1 2 2 1 1 1 1 1 2 2 2 1 2 2 1 O O SO 82 83 28 49 100 10 14 40 70 7.29 10.49 8.60 8.26 7.69 12.19 5.56 9.76 7.15 12.69 13.38 13.11 10.5 14.35 13.42 635 9.83 12.16 30 17 18 27 22 30 24 17 20 20 28 85 86 87 88 89 90 91 ANN 1 1 1 1 1 2 2 1 2 1 2 12.85 1495 5.27 1495 10.02 1495 7.87 1495 11.82 1495 14.42 1495 13.69 1495 10.77 1495 15.26 1495 14.53 1495 6.84 1495 10.92 1495 13.05 1495 100 96 100 100 28 O 0 1 1 1 70 40 99 14 55 | 1 D E F G 1 2 0 1 2 5 75 14 31 32 33 34 25 36 37 38 39 40 41 42 43 44 28 BO 50 28 100 28 SO 108 64 16 26 18 15 31 16 20 1 3 1 1 2. 1 1 1 3 2 2 1 2 1 2 1 1 1 2 1 1 2 2 1. An experiment was conducted in order to evaluate the effectiveness of two devices for improving the efficiency of car engine systems. Engine efficacy was measured after one of the two devices was fixed. The two devices were an electric vent-200F (200F) and electric vent-1495 (1498). The Engine efficacy data (BTU.In) are stacked in one column with a grouping column (Vent-type) containing identifiers or subscripts to denote the population. See attached excel file on tab (car_engine) Suppose that you performed a variance test and found no evidence for variances being unequal - Test the normality assumption (by graph and goodness of fit) and Show your work using confidence interval and hypothesis testing procedures to test the variances equality- (Solve manually and Minitab) 2 1 1 99 34 HO 99 99 6 SO 10 2 28 2 1 1 2 2 3.9 28 1 2 1 3 3 2 45 46 47 48 1 1 1 1 1 2 99 15 45 688888888888 H 9.82 12.91 10.35 9.6 9.58 9.83 9.52 18.26 10.64 6.62 5.2 12.28 7.23 2.97 8.81 9.27 11.29 8.29 9.96 10.3 16.06 14.24 11.43 10.28 13.6 5.94 10.36 6.85 6.72 10.21 25 26 16 32 16 18 20 31 39 15 32 25 21 23 20 16 17 31 27 14 1 J 10.55 200-F 13.89 200-F 10.72 200-F 9.22 200-F 10.61 200-F 10.04 200-F 10.2 200-F 20.55 200 11.75 200-F 7.08 200-F 5.5 200- 13.07 1495 7.6 1495 3.2 1495 9.28 1495 9.73 1495 11.73 1495 9.67 1495 10.76 1495 11.05 1495 17.63 1495 15.58 1495 12.53 1498 11.87 1495 14.19 149 6 BA 1495 11.89 1495 7.41 1495 7.42 1495 10.83 1495 72 70 28 72 96 49 100 49 Now you want to compare the effectiveness of these two devices by determining whether or not there is any evidence that the difference between the devices is different from zero. - (Solve manually and Minitab) 50 51 52 53 2 1 2 2 2. 9 1 30 40 50 60 12 1 3 1 3 3 2 2 2 1 1 1 3 1 3 1 1 2 2 1 1 55 56 57 58 59 60 28 38 72 28 1 1 1 2 2 1 2 1 99 90 F 55 1 2. 2 28 17 1 2 2 3 E F 5 64 D 16 28 1 61 62 63 1 2 2 2 1 2 28 1 65 66 67 17 29 12 20 22 2 O 2 1 D O H 8.61 11.62 11.21 10.95 7.62 10.4 12.92 15.12 12.47 12 S5 28 12 80 19 32 99 60 65 15 SS 3 1 1 1 2 90 AD 64 30 1 1 1 B D E CH.Area CH.Shape CH.HT CH.Liner Car 28 1 20 2 144 2 26 0 80 3 30 1 100 2 24 o 168 3 35 1 1 28 1 17 2 64 2 24 1 64 2 18 1 96 3 3 25 1 108 3 27 1 64 2 16 1 63 3 3 30 1 42 3 15 1 117 3 25 O 64 2 18 1 28 1 17 2 64 2 28 0 64 2 19 1 28 1 26 2 80 3 3 27 0 0 28 1 14 2 28 1 23 2 64 2 17 1 30 64 2 27 0 64 2 19 1 50 1 18 1 50 1 18 1 50 1 18 1 11.7 7.73 1 9.44 1495 1294 1495 13.15 1495 11.69 1495 7.73 1495 11.94 1495 13.62 1495 17.07 1495 14.66 1495 956 1495 12.37 1495 8 33 1495 8.67 1495 11.27 1495 11.67 1495 9:37 1495 8.93 1495 G Monthes_used 3 8 2 75 2 2 44 2 75 2 30 3 2 45 1 16 5 45 5 40 1 22 2 40 1 13 2 2 99 1 19 2 30 2 60 2 30 2 10 2 60 1 24 2 70 1 1 12 2 60 2 40 1 17 4 15 1 1 18 1 4 H BTU.In 7.87 9.43 7.16 8.67 12.31 9.84 16.9 10.04 12.62 7.62 11.12 13.43 9.07 6.94 10.28 9.37 7.93 13.96 6.8 4 8.58 8 5.98 15.24 8.54 11.09 11.7 12.71 6.78 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 70 71 22 73 J BTU.Out Vent-type 8.25 200-F 9.66 200-F 8.33 200-F - 8.82 200-F 12.06 200- 9.67 200-F 17.51 200-F 10.79 200-F 13.59 200-F 7.99 200-F 12.64 200-F 14.42 200-F 9.25 200-F 7.79 200-F 11.29 200-F 10.26 200-F 9.46 200-F 14.77 200-F 7.21 200-F 4.29 200-F 9.81 200-F 8.41 200-F - 6.78 200-F 16.3 200-F 9.01 200-F 11.41 200-F 12.37 200-F 13.28 200-F 7.24 200-F - 50 SD 28 SD SD 50 SD 13 10 1 76 27 78 79 BD 19 15 18 18 15 16 17 15 1 1 1 5 28 28 2 2 1 1 1 1 1 2 1 1 1 1 1 2 1 2 2 2 - 1 2 1 2 2 1 1 1 1 1 2 2 2 1 2 2 1 O O SO 82 83 28 49 100 10 14 40 70 7.29 10.49 8.60 8.26 7.69 12.19 5.56 9.76 7.15 12.69 13.38 13.11 10.5 14.35 13.42 635 9.83 12.16 30 17 18 27 22 30 24 17 20 20 28 85 86 87 88 89 90 91 ANN 1 1 1 1 1 2 2 1 2 1 2 12.85 1495 5.27 1495 10.02 1495 7.87 1495 11.82 1495 14.42 1495 13.69 1495 10.77 1495 15.26 1495 14.53 1495 6.84 1495 10.92 1495 13.05 1495 100 96 100 100 28 O 0 1 1 1 70 40 99 14 55 |