Your firm needs special equipment to cut lengths of high strength wire. The acce

Question

Your firm needs special equipment to cut lengths of high strength wire. The acceptable length is between 108 and 112 mm. You have two machine alternatives. Machine A has a setting for 110.0 mm and has a standard deviation of 0.59 mm. Machine B can only be set at 110.90 mm and has a standard deviation of 0.25 mm. Determine the appropriate capability ratio for each machine. Is either capable If each machine has the same cost, which one would you pick What other considerations or factors might change your decision

Explanation / Answer

Cp=USL-LSL/6*sd

For machine A Cp=1.13

For machine B =2.667

USL=112

LSL=108

sd for A is 0.59

Sd for B is 0.25

B) As Cp for A islesser, we would prefer machine A.

C) We have to first check if the process is under statisitcal control. The sample size may also chnage this decison.

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