see attached for questions

Question 2 Phillips Electronics Limited has been having difficulties with circuit boards purchased from an outside supplier. Unacceptable variability occurs between two drilled holes that are supposed to be 5 cm apart on the circuit boards. Thirty samples of 4 boards each were taken from shipments from the supplier as shown in Table Q2.1. a) Construct x and R charts for this data. b) If the supplier's plant quality manager admitted that they were experiencing quality problems for shipments 18, 19, and 21, how would that affect your control chart? Show this adjustment on revised x and R charts for this data. Ten more observations were taken, as shown in Table Q2.2. Using the revised x and R charts from part (b), comment on what the chart shows after extending it with the new data. d) Suppose that, after it was revised, the upper specification limit (USL) became 6.75, and the lower specification limit (LSL) became 3.25. Compute the process capability and the modified control limits. What percentage will be out of specification? TABLE Q2.1: INITIAL DATA Sample TABLE Q2.2: ADDITIONAL DATA No Samples Sample 1 4.92 4.26 4.94 4.29 No Samples 2 4.65 5.54 5.00 5.42 31 4.92 5.54 5.00 5.42 3 5.77 5.26 4.76 4.79 32 4.65 .14 4.26 4.71 4 6.25 4.88 5.66 4.44 5.27 5.41 6.02 4.91 33 5.78 5.50 5.05 4.79 5 5.95 6 5.22 5.38 5 34 3.83 .30 4.44 5.08 4.65 7 5.47 4.68 4.56 4.70 35 4.92 4.80 4.75 5.59 8 36 5.68 5.74 4.65 4.65 5.71 4.54 4.17 4.87 9 5.24 5.58 4.72 5.41 37 4.78 5.79 5.20 4.70 10 4.42 5.18 4.79 4.73 38 4.43 4.81 5.27 4.87 11 5.14 4.26 4.71 5.48 39 6.04 4.47 5.18 5.41 12 4.92 5.78 5.50 5 40 4.96 5.18 5.48 4.73 13 5.79 3.83 4.30 4.78 14 4.92 4.80 4.75 5.59 15 5.68 5.74 4.65 5.20 16 5.43 4.81 5.27 4.96 17 4.79 6.04 4.47 5.18 18 4.43 5.08 3.69 6.43 19 6.35 5.95 6.29 5.89 20 5.03 4.66 5.25 4.46 21 6.32 6.09 5.57 5.91 22 1.30 5.47 4.27 4.34 23 6.07 4.97 5.51 5.02 24 5.11 4.90 5.91 4.66 25 4.50 5.24 4.86 4.35 26 4.91 4.79 5.74 5.03 27 54.71 4.81 5.32 28 4.70 5.50 6.04 4.30 29 7 5.30 5 5.07 30 4.41 4.75 4.95 5.11