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How many sacks need to be inspected at minimum if there are 70 sacks in total?

  1. 5

  2. 6

  3. 7

  4. 8

The correct answer is: 7

To determine the minimum number of sacks that need to be inspected from a total of 70 sacks, the guideline typically followed is based on statistical sampling principles, which often suggest a certain percentage or fixed minimum sample size for quality assurance purposes. In this context, when the total is relatively large, regulatory bodies often set a minimum sample size that allows inspectors to draw meaningful inferences about the overall quality of the product. In this case, the requirement of inspecting at least 7 sacks likely aligns with established standards that govern the peanut inspection process. It ensures that a statistically significant number of samples are evaluated, which helps in assessing the quality of the entire batch effectively. This standard is crucial for identifying any potential issues and ensuring compliance with safety and quality regulations. Selecting a number like 7 not only adheres to these standards, but also provides a buffer that accounts for variability and the potential presence of defects in the sacks. This approach aims to foster greater reliability in the inspection outcome and supports the overall safety in peanut production and distribution. As a result, 7 sacks represent the minimum number required here, adhering to a systematic approach in quality control, allowing inspectors to make informed decisions based on a representative sample size.