A steel manufacturing company produces flat steel bars, with target final thickness of 13 mm inch, and a known standard deviation of 1 mm. The following values are obtained - Sample 1 Sample 2 Sample 3 Sample 4 Day 1 11.5 12 12.5 12 Day 2 13.4 13.5 13.5 13.6 Day 3 12.2 12.5 12.8 12.5 Day 4 11.9 12 12.1 12 Day 5 12 12 12.4 11.6 Day 6 12.7 12.7 12.3 12.3 Day 7 13.3 13 12.4 13.3 Day 8 11.5 12 12.2 12.3 Day 9 12.9 13 13 13.1 Day 10 12.1 12.5 12.4 13 Construct a 3-sigma X control chart to know in-control and out-of-control situations. 2. marks 10 Suppose that the specification for the thickness is 13 + 1 mm. What is the process capability index? What is the process capability ratio? If the firm is seeking four sigma performance, is the process capable of producing the steel bar?