GATE 2021 PI – Question 37

Quality and Reliability · Quality Management · 2 marks · Multiple choice

An in-control process has estimated standard deviation 2 mm and specifications 120 ± 8 mm. Its mean shifts to 118 mm. Find C_p and C_pk, respectively.

1.000,1.667
1.333,1.667
1.333,1.000
1.000,1.000

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Correct answer: (C) 1.333,1.000

Explanation

Specification limits are 112 and 128. $C_p=(128-112)/(6\times2)=1.333$. $C_{pk}=\min[(128-118)/(3\times2),(118-112)/(3\times2)]=\min(1.667,1)=1.000$. **C**.

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