Refer to Tohle S8.1. Factors for Computing Control Chart Limits (8 sigma kor this problem. Also pistons at Wimming Churg's plant in Shanghai and produced in a forging process, and the diameter is a critical factor that must be controlled. Fram sample sizes of 10 pistons produced cach day. the mean and the range of this diameter have been as follows: Day Range R [mm] Mean x (mm) 158.2 151.2 151.8 157.5 154.6 44 5 0 Definition a) What is the value of 2 x- nun (round your response domu docial places). b) What is the value of R? R= m (round your response to ivo deomal poons) c) What are the UCL, and LCL; usirg 3-signa? Mean Factor, Sample Size, Upper Range, Lower Range, Upper Control Limit (UCL)- Immiround your reprise lo loteam place). 1.690 1.023 0.729 0.577 (1.493 0.415 41.373 3.286 2.574 2.282 2. 115 2.004 Lower Control Lim (LCL, mm (round your response to no cemala). dWhat are the UCLR and LCL, using 3-sigma? 0.337 1.816 0.076 D.126 0.184 0.223 0.284 Upper Correl Limil(UCL) - Fun (rowd your response io lwe decimal places). 0.338 0.256 1.716 Lower Control Limit (LCLn) = _mm (round your response to two decimal pisces). Print Done 6) If the true diameter maan should be 155 mm and you want this as your center (nominal)line, what are the new UCL; and LGL;? Upper Control Limit (LCL)= (mand your response t o the places). Lower Control Limit (LCL)- mm (round your response to iwo decimi places)