Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Oct 2017 My Price 6.00

fraction of defective components

Components arrive at a distributor in very large batches. A batch can be characterized as acceptable only if the fraction of defective components in the batch is at most .10. The distributor decides to randomly select ten components from the batch, test each one, and accept the batch only if the sample contains at most two defective components. Assume that the condition of any particular component is independent of any other.

a. If the actual fraction of defectives in each batch is only π = .01, what proportion of batches will be accepted? Repeat this calculation for the following values of π :. = .05, .10, .20, and .25.

b. A graph of the proportion of batches accepted versus the actual fraction of defectives π is called the operating characteristic curve. Use the results of part (a) to sketch this curve for 0  π  1 (proportion of batches accepted is on the vertical axis and π is on the horizontal axis).

c. Suppose the distributor decides to be more demanding by accepting a batch only if the sample contains at most one defective component. Repeat parts (a) and (b) withthis new acceptance sampling plan. Does this plan appear more satisfactory than the original plan?

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Maurice Tutor
(5)
Status NEW Posted 09 Oct 2017 10:10 PM My Price 6.00

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