Consider an acceptance-sampling scheme in which a factory takes delivery of a batch of components if a random sample of 400 components contains fewer than M defectives. Otherwise the batch is returned tot he supplier. Suppose the factory manager wants to set M so that there is no more than a 10% risk of accepting a batch that has 5% or more defectives. Let P be the sample proportion of defectives. (In the following, use the approximate Normal distribution for P).
a) Suppose that the batch has 5% defectives. What is the value of c for which pr(p>c)=0.10? What value should M have?
b) Suppose the supplier makes a batch in which the true proportion of defectives is only 2%. If the cutoff in (a) is adopted, what is the probability that the batch will be sent back?
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Consider an acceptance-sampling scheme in which a factory takes delivery of a batch of components if a random sample of 400 components contains fewer than M defectives. Otherwise the batch is returned to the supplier. Suppose the factory manager wants to set M so that there is no more than a 10% risk of accepting a batch that has 5% or more defectives. Let P ...
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Please refer attached file for tables.
Use the following company data and the PPS Sampling Tables 1 & 2:
The recorded book value of these accounts is $3,460,000.
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The anticipated error is $13,000.
The risk of incorrect acceptance is 5%.
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In what ways is a systematic sample more efficient than a simple random sample? In what way is systematic sampling less representative of the population than simple random sampling?
