1. Control charts for x are to be established on a certain dimension of a product, measured in millimetres. Data were collected from 20 subgroups in sample sizes of 6 units and are given below. Subgroup Subgroup Number R X Number R 20.35 0.34 11 20.39 0.29 20.40 036 12 20.38 0.30 20.36 0.32 13 20.40 0.33 20.65 0.36 14 20.41 0.36 20.20 036 15 20.45 0.34 20.40 0.35 16 20.34 0.36 20.43 0.31 17 20.36 0.37 20.37 0.34 18 20.40 0.30 20.48 0.30 19 20.50 0.38 10 20.42 0.37 20 20.31 0.35 a. Determine the central line (CL), lower control limit (LCL) and upper lower limit (UCL) for x. b. Construct & control chart and give comment on the condition of the process