(Solution) - Ceramic tiles are shipped in very large batches and an -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

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Ceramic tiles are shipped in very large batches and an acceptance sampling procedure to monitor the number of cracked tiles in a batch has n = 50 and c = 10. Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p, and sketch the operating characteristic curve.
(a) What is the producer's risk for an acceptable quality level of p0 = 0.01?
(b) What is the consumer's risk if the proportion of defective items is p1 = 0.10?
(c) How do the producer's and consumer's risks change if a value of c = 9 is used?