This problemis looking for the capabilty index which is the specification width/

Question

This problemis looking for the capabilty index which is the specification width/process width. For part A, I got 1.67 as my answer which deems it capable. Is this correct? ONLY ANSWER IF YOU KNOW PLEASE

Process Capability Index (centered process) specification width process width upper specification-lower specification 6 Process capability of min 1.33 is recommended IOL85L 1.C07 Process Capability Pro . Pro . Mea . Find spec Divi . Iden Standard Deviation Job Specifications .02 04 03 05 i- in.) 15 .10 90.07 50 .18 40 .15 Specification Width

Explanation / Answer

Process Capability index

Cp = (Specification width ) / Process width

Cp = ( Upper specification -Lower specifictaion) / 6 * process S.D

Upper specifictaion = 1000 +15 =1015

Lower Specification = 1000-15 = 985

Process standard deviation = 1015- 985 = 30

Process S.D= 2.8623

Cp = 30 /(6* 2.8623)

Cp = 1.7468

Since Cp > 1.33

Process is capable of filling bottles within the specified limits.

Sample No. Fluid Level 1 1000 2 993 3 1000 4 1001 5 994 6 995 7 994 8 993 9 1001 10 999 11 1001 12 997 13 994 14 994 15 994 16 996 17 999 18 994 19 995 20 997 21 997 22 1002 23 998 24 998 25 996 stdev 2.86239993

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