Q5. (20%) A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: Observations Samples 1 2 3 4 5 1 10 9 10 9 12 2 9 9 11 11 10 3 13 9 10 10 9 4 10 10 11 10 10 5 12 10 9 11 10 6 10 10 8 12 9 7 10 11 10 8 9 8 13 10 8 10 8 9 8 8 12 12 9 10 10 12 9 8 12 a) Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36. (10%) b) Discuss whether the process is in control or not. (10%)