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RPSC ME Lecturer 2011: Official Paper

- LCL =.032 UCL =.085
- LCL =.053 UCL =.032
- LCL = 0 UCL =.085
- not enough information to determine the control limits:

Option 4 : not enough information to determine the control limits:

Free

ST 1: Engineering Materials (Crystal Geometry)

402

16 Questions
8 Marks
20 Mins

__Concept:__

\(̅ P = \frac{{Total\;number\;of\;defective}}{{Total\;number\;of\;observation}}\)

\({\rm{UCL}} = ̅ P + {\rm{z}} \times \sqrt {\frac{{̅ P\left( {1 - ̅ P} \right)}}{n}}\)

\({\rm{LCL}} = ̅ P -{\rm{z}} \times \sqrt {\frac{{̅ P\left( {1 - ̅ P} \right)}}{n}}\)

where P̅ = average proportion of defective, z = standard deviation, n = sample size

__Calculation:__

__Given:__

P̅ = 0.032, z = 0.0176

**As sample size is not given in the Qs, therefore the data is not enough to compute limits**

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