Statistics Help:

Consider a production line producing three different types of hearings with the short productions nuts. The nominal values (in millimeters} of inside diameters of three types of hearings are 41mm. 53 mm and 1? mm. The subgroup sample size is 3 for all three types of hearings. To simplify the monitoring process1 we would like to use one set of charts to monitor this production line. The nominal values and average ranges are given in the table below. Bearing type Nominal value Average range Type A 4? mm 5.53 mm Type E 53 mm 1.23 nun Type C 1? mm lllI.13 mm [a]: What are the UCL, LCL, and Centerline of the appropriate control charts, assuming the standard deviation of three types are different? (6 Points} {h} For the three samples of size 3 given helow, is the process statistically in control? [15 Points} Sample Type Mean Range 1 A 45.5 mm 5.95 mm 2 B 55.5 mm 3.52 mm 3 C 111mm 5.51m