2. (50 points; 10 points each) A small electronic device is designed to emit a timing signal of 200.0 milliseconds (ms) duration. This device is specified as 201.0 + 10.0. In the production of this device, subgroups of six units are taken at periodic intervals and tested. Xoar and R are calculated for each subgroup and used to plot control charts. The results of inspection of 25 subgroups, EX = 5,000.00 and ER = 277.00 bar 1) Determine the control limits for X and R charts, and estimate the value of o. 2) Assuming the process is in control and that variation in the product follows a normal distribution, what proportion of defective product is being made ? 3) Assuming the process is control and that variation in the product follows a normal distribution, what proportion of defective product is being made? 4) Assuming that the mean of the process shifts to 196 V dc, compute the Type II Error probability that it will not be detected on the first subgroup drawn after the shift occurs. 5) Can the process meet specifications if it is re-centered at 350