A quality officer wants to set a new sampling plan for a new batch of sensor

components. He wants to use a single sampling plan with an acceptance sampling of

five. However, the management team disagreed with his decision and ask him to revise

the plan. Therefore, by using acceptance sampling of $1,2$ and $5,$ revise his idea and

propose your solution for a single sampling plan that will accept lots that are $6\%$

nonconforming $15\%$ of the time. From a producer's point of view, which of these three

plans would you choose? Justify your answer.

$(12$ marks$)$