Note:

Please follow all the Instructions to Candidates given on the cover page of the answer book.

All parts of a question should be answered consecutively. Each answer should start from a fresh page.

Assumptions made if any, should be stated clearly at the beginning of your answer.

Refer Appendix, wherever applicable.

Q$\mathrm{.}1.$ Why our interpretation changes when we analyse a regular control chart and a standardized control chart? Explain with suitable example. Also, Indicate the reasoning behind selection of rational samples.

$105$

Q$\mathrm{.}2.$ Why do we need Cpk as a separate index in presence of Cp$?$ Explain the interpretation of the different Cpk values $($when less than one, equal to one and greater than one$),$ with respect to specification limits and process mean.

$510$

Q$\mathrm{.}3.$ Four components A$,$ B$,$ C$,$ and D are placed in series to make a subassembly in a circuit board. The reliabilities of A$,$ B$,$ C $,$ and D are $0\mathrm{.}93,0\mathrm{.}88,0\mathrm{.}95,$ and $0\mathrm{.}92,$ respectively. Find the reliability of the subassembly. What will be the reliability if all four components are placed in parallel? Analyze which is the most appropriate configuration, whether series or parallel, in this case and justify your reasoning.

$[555]$