• 2. On this scale, a reading of zero corresponds to the correct fill height. Fifteen samples of size n-10 have been analyzed, and the fill heights are shown below. Sample Number 1.0 2.5 1.3 2.0 0.5 0.5 0.0 1.0 -1.0 1.0 -1.5 x_{6} 2 x_{4} -1.0 1.0 -1.0 0.0 -1.3 -1.0 -1.0 x_{13} 0.0 1.5 0.0 1.5 1.0 -1.0 0.5 1.5 1.0 -2.0 0.0 -2.0 x_{2} 0.5 -1.0 -1.0 -1.5 -0.5 -1.0 0.5 0.0 -0.5 3 4 6 7 8 9 -15 0.0 1.0 -2.0 0.0 0.0 -1.0 -0.5 13 05 1.5 1.0 0.5 1.5 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -0.5 0,0 0.0 -1.0 0.5 0.0 05 0.0 -1.0 0.5 0.0 0.0 0.0 0.0 -1.5 2.0 -0.5 0.0 -2.0 50.0 -0.5 -1.0 -1.5 -1.5 3.5 -2.0 -0.5 1.0 0.0 0.0 -1.0 1.5 1.5 -1.0 0.0 0.0 -1.0 10 11 12 0.0 0.0 -1.5 -1.5 0.0 1.0 -1.0 -0.5 0.0 -15 0.0 1.0 1.0 0.0 -0.5 1.0 0.5 -1.0 -1.0 -1.0 1.5 -1.5 0.0 05 0.0 1.0 2.0 0.5 -1.0 13 -2.0 -1.0 0.5 1.5 0.5 -1.5 -05 2.0 -0.5 13 14 -1.0 -0.5 05 -1.0 -1.0 15 1.0 1.5 15 0.0 a. Set up X-bar and 5 charts on this process. Does the process exhibit statistical control? If necessary, construct revised control limits. b. Set up an R chart and compare with the chart in part (a). Set up an 5' chart, and compare with the S chart in part (a) x_{1} x_{2} : x_{2} x_{1} x_{1}