please solve the problems

HW #2. Solve the following two problem sets. Show your work. Worth 20 points. Due 10/11 (Mon). 1. Suppose that you have collected the following output data from a process. Observations Sample Number 1 2 3 4 1 10.910.29.810.3 2 93 10697104 3 19.8 10:10 10.1 1. Determine CL, UCL, LCL for an R-chart. Answer with four decimal places. 2. Determine CL, UCL, LCL for an 1-chart. Answer with four decimal places. 3. Suppose the specifications for the output of the above process are 102. If the standard deviation of the process output is estimated to be 0.435 and the firm is seeking four sigma quality, is the process capable of producing at the target quality level? II. In order to establish a p-chart with 3-sigma control limits, you have collected the following 10 samples of size 300. Sample Defects Sample Defects 27 6 2 22 8 1 15 7 3 4 5 17 42 16 9 10 15 20 16 1. Determine CL, UCL, and LCL for the p-chart. Answer with four decimal places. 2. Is the process in statistical control? Explain