answer these questions showing the steps

4. (a) Specifications on a bearing diameter are established at 8.0 4 0.01 cm. Samples of size n = 8 are used, and a control chart for s shows statistical control, with the best current estimate of the population standard deviation - 0.001. If the fraction of nonconforming product that is barely acceptable is 0.135%, find the three-sigma limits on the modified control chart for this process, In this modified x control chart, find u & wu, which are used to find LCL and UCL of the chart. (b) A Shewhart X chart has center line at 20 with UCL - 26 and LCL - 14. Suppose you wish to supplement this chart with an EWMA control chart using 2 = 0.2 and the same control limit width in o-units as employed on the X chart. What are the values of the steady-state upper and lower control limits on the EWMA chart