mathxl.com ISDS 3115 Operations Management Borne marjorie castro 1 3/2/18 7:21 P
ID: 342744 • Letter: M
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mathxl.com ISDS 3115 Operations Management Borne marjorie castro 1 3/2/18 7:21 PM Quiz: GRADED Quiz 3 : Ch 6, S6, 7 conc. Ch S6 pr. Time Remaining: 01.03:4 Submit o his Question: 2 pts 6 of 24 (18 complete) This Quiz: 30 pts poss Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean of 12.00 and a standard deviation o of 0.05. Your desired performance is -12.00 ± 3 standard deviations, where 0.070. For the given information, the process capability index (Cpk) (round your response to three decimal places).Explanation / Answer
UCL= +3 =12 +3*0.07 =12.21
LCL= - 3 =12 - 3*0.07 =11.79
Cpk=Min [(x double bar – LCL)/3 , (UCL- x double bar)/3 ]
x double bar =12
=0.05
x double bar – LCL =12-11.79 =0.21
(x double bar – LCL)/3 = 0.21/3*0.05 =1.4
(UCL- x double bar)/3 =(12.21-12)/3*0.05= 1.4
Cpk=Min(1.4,1.4)
Cpk=1.4
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