1. Midouq Sdn. Bhd. manufactures ball bearing. Table 3 shows diameter for ball bearing and its range. A fifteen (15) subgroups with a sample size of 5 data were collected. Assuming the dimension for diameter is normally distributed and fifteen (15) subgroups are enough to construct the control chart Table 3.1: Diameter for ball bearing Subgroup X-bar (mm) R (mm) 5.74 0.12 5.76 0.26 3 3.73 0.17 5.7% 0.31 5 5.69 0.12 6 5.70 0.14 7 5.73 0.27 5.75 037 5.71 0.13 10 5.73 0.18 5.93 0.16 5.58 0.22 5.72 0.35 14 5.72 0.16 15 5.75 0.10 Σ 85.82 3.30 a) Establish the control limits for X-bar and R control charts. b) Graphically construct the X-bar and R control charts and label appropriately. c) Comment the manufacturing process status, for the hall bearing and suggest improvement to be taken. Graphically present your answer to show the possible causes of the problem