Quality Control Systems (Part 1)Name: q, Date: All problems are from the bookReview Questions (10 pts ):20.5 Manufacturing process variations can be divided into two types: (1) random and (2) assignable. Distinguish between these two types.20.6 What is meant by the term process capability?20.7 What is a control chart?20.15 What are the general goals of Six Sigma?20.17 What does DMAIC stand for?Broblems:Process Capability (30 pts ):20.1 A turning process is in statistical control and the output is normally distributed, producing parts with a mean diameter =45.025mm and a standard deviation =0.035mm. Determine the process capabality.203 An zutomated tube bending operation produces parts with an incloded angle =91.2. The process is in statistical coesol and the values of included angle are normally distributed with a standard deviation =0.55. The design specification on the angle =90.0-2.0.(a) Determine the process conpability (b) If the process is adjusted so that its mean =90.0, determine the process capability udex.Contrel Charts (30 nts):20.7 Ten samples of size n=8 have been collected from a process in statistical control, and the dimension of interest has been measured for each part. (a) Determine the values of the center line, LCL, and UCL for the x and R charts. The calculated values of x and R for each sample are given below (measured values are in nim).(b) Coestruct the control charts and plot the sample data on the charts. No need to construct a control chart, but boens points if you dol\table[[s,1,2,3,4,5,6,7,8,9,10],[x,9.22,9.15,9.20,9.28,9.19,9.12,9.20,9.24,9.17,9.23],[R,0.24,0.17,0.30,0.26,0.27,0.19,0.21,0.32,0.21,0.23]]20.9 In 20 samples each of sur n=6 for a process that is in statistical control, the grand mean of the samples is x=85.0 for the characteristic of interest, and the mean of the ranges of the samples is R=725. Determune (a) lower and upper cootrol limits for the x chart and (b) lower and upper control limits for the R chart.