R Programming Question.

2. Use the data from the file Lab1_Mouse_DNA_methylation_small_table.txt. At 92% confidence level, compute the confidence interval of the mean of the DNA methylation of gene Sh2b3 of all the 12 mice. a) Do the calculations step-by-step in R. (2pts) b) Define your own function to compute the margin of error and then the CI of the mean. (2pts) c) Use the built-in R function to calculate the CI of the mean. (1pt)

GfKoC4F1 GfKoC4F3 SpfKoC4M1 SpfKoC4M2 SpfKoC5M1 SpfKoCSM 5.24 2.81 5.93 2.76 3.15 17.46 15.05 16.82 19.4616.24 16.9 32.88 40.63 34.43 39.97 36.9 34.71 57.7457.42 61.3 56.47 57.87 59.39 8.59 8.63 2.48 .97 1.65 6.69 7.86 7.88 5.97 7.56 7.82 L3mbt14 .67 1.16 .73 1.53 .55 .91 9.69 8.52 7.9 Ne4 95.06 93.81 95.88 91.41 92.25 90.24 66.57 63.09 64.13 74.25 63.48 61.67 Kcnmal 1.746.14 3.36 4.44.27 3.69 16.7414.13 16.39 14.46 18.66 18.56 Plekhg3 13.08 20.69 12.62 19.34 19.04 14.8751.46 47.75 56.24 42.74 56.71 57.8 Sh3g12 3.88 5.55 3.18 4.52 5.47 3.23 20.39 15.92 15.81 15.76 21.0219.17 Esn1 70.72 61.86 67.73 56.94 64.84 60.93 35.91 28.62 31.96 38.97 29.6 30.7 3.98 3.17 4.32 15.75 13.82 13.46 10.28 14.39 14.27 Wbscr17 .82 .59 1.24 .83 .24 1.23 5.93 5.79 8.17 5.49 6.59 7.97 57.92 46.21 60.42 46.49 50.51 57.16 14.47 18.73 22.47 20.11 10.13 16.89 Cbfa2t3 55.85 61.2 51.83 55.62 57.15 54.01 12.416.84 27.45 29.8 20.4 16.28 Sh2b3 52.7 60.07 54.31 57.92 59.4 57.67 84.377.1775.73 76.7 84.34 83.64 86.03 79.66 84.16 75.49 80.7 78.17 31.8 36.72 44.78 50.84 29.87 30.3 Foxh1 37.93 37.57 36.09 30.26 33.62 31.44 49.32 49.46 51.59 48.99 52.34 51.51 Colec12 2.31 3.67 2.05 3.21 3.47 3.16 7.37.28 6.21 7.04 8.29 7.11 Bahcc1 72.7 65.45 69.83 64.66 66.09 67.89 27.78 34.53 33.78 45.46 41.53 33.07 Rgs8 9.1312.16 11.91 12.27 11.72 10.67 28.71 25.46 22.53 22.58 27.7 29.91 Evp 46.747.54 44.67 42.96 43.26 45.52 59.99 53.81 57.69 56.9956.31 58.2 94.14 90.54 90.88 91.19 77.39 77.81 79.78 81.4 75.21 77.63 8.78 1.22 2.33 1.89 1.1 10.88 10.83 10.54 6.71 12.19 12.18 H2-Eb1 97.32 95.39 96.74 95.24 94.78 95.47 85.43 78.32 78.84 82.79 84.8283.26 Mfsd1 91.18 87.63 94.66 88.8891.66 90.35 75.99 73.68 71.75 78.14 68.63 73.94 Sncaip 2.531.75 2.02 1.37 2.22 2.03 5.61 5.02 4.45 4.64 4.01 5.1 13.15 12.0712.13 11.74 10.55 19.79 20.8822.18 22.42 21.38 20.89 98.49 98.03 90.25 89.08 92.48 89.34 90.0890.4 2 GfKoC4F1 GfKoC4F3 SpfKoC4M1 SpfKoC4M2 SpfKoC5M1 SpfKoCSM 5.24 2.81 5.93 2.76 3.15 17.46 15.05 16.82 19.4616.24 16.9 32.88 40.63 34.43 39.97 36.9 34.71 57.7457.42 61.3 56.47 57.87 59.39 8.59 8.63 2.48 .97 1.65 6.69 7.86 7.88 5.97 7.56 7.82 L3mbt14 .67 1.16 .73 1.53 .55 .91 9.69 8.52 7.9 Ne4 95.06 93.81 95.88 91.41 92.25 90.24 66.57 63.09 64.13 74.25 63.48 61.67 Kcnmal 1.746.14 3.36 4.44.27 3.69 16.7414.13 16.39 14.46 18.66 18.56 Plekhg3 13.08 20.69 12.62 19.34 19.04 14.8751.46 47.75 56.24 42.74 56.71 57.8 Sh3g12 3.88 5.55 3.18 4.52 5.47 3.23 20.39 15.92 15.81 15.76 21.0219.17 Esn1 70.72 61.86 67.73 56.94 64.84 60.93 35.91 28.62 31.96 38.97 29.6 30.7 3.98 3.17 4.32 15.75 13.82 13.46 10.28 14.39 14.27 Wbscr17 .82 .59 1.24 .83 .24 1.23 5.93 5.79 8.17 5.49 6.59 7.97 57.92 46.21 60.42 46.49 50.51 57.16 14.47 18.73 22.47 20.11 10.13 16.89 Cbfa2t3 55.85 61.2 51.83 55.62 57.15 54.01 12.416.84 27.45 29.8 20.4 16.28 Sh2b3 52.7 60.07 54.31 57.92 59.4 57.67 84.377.1775.73 76.7 84.34 83.64 86.03 79.66 84.16 75.49 80.7 78.17 31.8 36.72 44.78 50.84 29.87 30.3 Foxh1 37.93 37.57 36.09 30.26 33.62 31.44 49.32 49.46 51.59 48.99 52.34 51.51 Colec12 2.31 3.67 2.05 3.21 3.47 3.16 7.37.28 6.21 7.04 8.29 7.11 Bahcc1 72.7 65.45 69.83 64.66 66.09 67.89 27.78 34.53 33.78 45.46 41.53 33.07 Rgs8 9.1312.16 11.91 12.27 11.72 10.67 28.71 25.46 22.53 22.58 27.7 29.91 Evp 46.747.54 44.67 42.96 43.26 45.52 59.99 53.81 57.69 56.9956.31 58.2 94.14 90.54 90.88 91.19 77.39 77.81 79.78 81.4 75.21 77.63 8.78 1.22 2.33 1.89 1.1 10.88 10.83 10.54 6.71 12.19 12.18 H2-Eb1 97.32 95.39 96.74 95.24 94.78 95.47 85.43 78.32 78.84 82.79 84.8283.26 Mfsd1 91.18 87.63 94.66 88.8891.66 90.35 75.99 73.68 71.75 78.14 68.63 73.94 Sncaip 2.531.75 2.02 1.37 2.22 2.03 5.61 5.02 4.45 4.64 4.01 5.1 13.15 12.0712.13 11.74 10.55 19.79 20.8822.18 22.42 21.38 20.89 98.49 98.03 90.25 89.08 92.48 89.34 90.0890.4 2