Analysis (The Jacobson Nomograph will be required on this exercise. Using Excel or other spreadsheet software is recommended for Part c) The density of a plastic wear part used in manufacturing a lawn tractor is required to be at least 0.70 lbs./cu.in. The parts are supplied in large lots. You are asked to develop a variables sampling plan with p1=0.02,p2=0.10,=0.10, and =0.05. Your plan will be used to sentence the lots. The variability of the manufacturing process is unknown but will be estimated by the sample standard deviation. a. Find an appropriate variables sampling plan, using the k-method. b. Sentence the lot, assuming that a sample of the appropriate size was taken, which provided the following data: x=0.73 and s=1.05102. c. Plot the OC curve for this sampling plan. Find the probability of accepting lots that are 5\% defective