Question $No$:$03$

This is a subjective question, hence you have to write your answer in the Text$-$Field given below.

If you were interested in protection for acceptance of a single lot from a vendor with whom you do not expect to conduct much business, what criteria would you select, and why?

The length of connector pins has an upper specification limit of $45mm$ and a lower specification limit of $40mm.$ It is desirable that lots with a mean such that $8\%$ of the product is nonconforming, either above the upper specification limit or below the lower specification limit$,$ be accepted $6\%$ of the time. We wish to accept lots with a mean of $42\mathrm{.}5mm$ with a probability of $0\mathrm{.}94.$ The distribution of the length of the connector pin is normal, with a standard deviation of $0\mathrm{.}8mm.$ Find the parameters of a variable sampling plan and describe its operation. $2+4$ Marks