Question

109 The specifications of the thickness ofa love-lly stel gear blank are 0,3000 0015 centineter (a) Ifit isde red thatt e vaue C ibe (b) 1 e spec carons change to 0.3 00t00010 centimeer. hat would be the manman ơ recsto anve Cy 2 125 at least 12), whit would be the maumam σ' ot a centered process: centered

Answer 1

Answer: Upper control limit UCL = 0.3000 + 0.0015 = 0.3015

Lower control limit LCL = 0.3000 - 0.0015 = 0.2985

a) If Cpk minimum = 1.25,

Cpk = min ( (UCL - X) / 3$\sigma$, (X - LCL) / 3$\sigma$​​​​​)

Hence $\sigma$max = (0.3015-0.3000)/3*1.25 = 0.0004

b) If UCL = 0.3000+0.0010 = 0.3010

Hence, $\sigma$max = (0.3010-0.3000)/3*1.25= 0.000267