Question
Discuss whether the assumption of independence is appropriate in this quality control context. Consider if the inspection process could introduce dependencies among trials.
Hint
Hint
Think about the role of sampling with or without replacement, and possible influences among consecutive inspections.
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Answer
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Explanation
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Answer
Complete Answer
The independence assumption holds if each product’s defect status is determined without influence from other products, such as when sampling is done from a large population or with replacement. However, if products are inspected sequentially from a small batch where removal affects the probability, or if the inspection process uses a shared instrument that could introduce bias, independence may be compromised.
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