Carter's Peanut Farm has employed you to perform a statistical analysis into the dimensional characteristics of peanuts to inform the design of a new sorting, grading and packaging plant. You are required to undertake the study. Study 1: Estimate the mean length and weight of a peanut from Carters' latest crop. Your estimate of the mean length must be to within +/- 2 mm with an associated confidence level of 99%. You will be given real peanuts to undertake this task. You should aim to minimise the number of peanuts you measure and devise a plan to do this. Appendix C Peanut Length Data 2015 2016 2017 2018 41.69 36.47 52.54 42.00 35.01 29.79 45.86 35.32 41.10 35.88 51.95 41.41 40.57 35.35 51.42 40.88 42.04 36.82 52.89 42.35 42.27 37.05 53.12 42.58 40.83 35.61 51.68 41.14 34.57 29.35 45.42 34.88 49.36 44.14 60.21 49.67 49.21 43.99 60.06 49.52 60.82 35.84 51.91 41.37 39.39 34.17 50.24 39.70 40.13 34.91 50.98 40.44 38.23 33.01 49.08 38.54 40.61 35.39 51.46 40.92 40.88 35.66 51.73 41.19 35.33 30.11 46.18 35.64 34.49 29.27 45.34 34.80 36.44 31.22 47.29 36.75 32.70 27.48 43.55 33.01 44.28 39.06 55.13 44.59 49.50 44.28 60.35 49.81 38.99 33.77 49.84 39.30 40.17 34.95 51.02 40.48 45.99 40.77 56.84 46.30 38.79 33.57 49.64 39.10 48.44 43.22 59.29 48.75 41.44 36.22 52.29 41.75 41.18 35.96 52.03 41.49 40.29 35.07 51.14 40.60 40.49 35.27 51.34 40.80 39.20 33.98 50.05 39.51 41.10 35.88 61.05 50.51 37.32 32.10 48.17 37.63 34.54 29.32 45.39 34.85