Surface defects have been counted on 13 rectangular steel plates, and the data are shown in Table-5. a) Set up a control chart for nonconformities using these data. Does the process producing the plates appear to be in statistical control? (10p) b) If not, assume that assignable causes can be found for all points outside the control limits and calculate the revised control limits. (6p) c) After elimination of assignable causes, it is decided that the first half of each steel plate will be inspected, and the current c-chart will be used after necessary revision. Construct the new c-chart for the future application. (9) (Hint: New inspection area of the steel plate Table-5: Surface defects Plate Number 1 2 3 4 5 6 7 8 9 10 11 12 13 Number of 1 0 4 3 1 2 5 0 2 1 10 8 Nonconformities