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Determine the reliability of the manufacturing process

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A bolt manufacturer considers its manufacturing process is working correctly if no more than 5% of bolts are defective.

Problem (i) Assuming the manufacturing process is producing 5% defectives, what is the probability that a sample of 20 randomly selected boltswill contain one (1) or less defectivebolts?

Problem (ii) Suppose the reliability of the manufacturing process is unknown. The manufacturer wants to determine the reliability of the manufacturing process. State the nulland alternative hypothesesof this situation.

Problem (iii) In a random sample of 20 bolts, 4 defectivesare found.If the manufacturing processwas declared notto be working properlybased on the sample result when the process is indeed working,explain what type of error would it be?

Problem (iv) Calculate the probability of the error described in part (iii).

Reference no: EM132819376

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