Question

Assume smaller is better. A material processing L9 orthogonal array experiment was designed as follows: Level 2 Factor Level 1 Level 3 H2SO4 Only Two Levels are Chosen HCL (dominant) A Pre-Treatment Treating Temperature B 190°C 200°C 220°C Soak C Treating Method Dip Spray Additive Alcohol Ethanol D H20 Exp# A B C D Result 1 1 1 1 1 4 2 1 2 2 2 3 1 3 3 3 4 2 1 2 3 14 5 2 2 3 1 14 6 2 3 1 2 8 7 1 3 2 13 2 1 3 17 8 9 3 3 2 1 17 L9 OA Predict the expected value (EV) without significance testing

Answer 1

Ans: Value (EV) is Ihe average or) Mean Value dis cre te andom Varigble The Expeuted That is, the expected Value Of a he averaqe of all po ssible values. Formula For Expeited Value folucing the Expected value can be Found USing The formula formu la Ex pected value - Ev -the Expected value he Probability PCx)- of e event 5e number of the epe hiong OF the event n IC4) expected 1 expected 2 1+ 2C3) /4 5 +6 cxpected 3 Ci) + 3(3) = l+q = 10 = - 10/4= *-50 expected 4= 4 expetted 5 = 22) + 3C1)+ 1C1)= q+3+ -8 = 8 = 2.°O expected 6 ICI)+ 21)+30J - 1+4+3 = 8= 8- 2-00 expected 4 CI 20)+ 3C) = +2+6 = 9 expeuted 8 = 1+2 +6 = 1 =9 - 2.250 еxpetted q 4 =2-2S0