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Assertion (A): Double sampling is preferred over single sampling when the quality or incoming lots is expected to be either very good or very bad.
Reason (R): With double sampling, the amount of inspection required will be lesser than that in the case of single sampling. 
  • a)
    Both A and R are individually true and R is the correct explanation of A  
  • b)
    Both A and R are individually true but R is not the correct explanation of A  
  • c)
    A is true but R is false  
  • d)
    A is false but R is true 
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): Double sampling is preferred over single sampling when ...
Understanding Double vs. Single Sampling
Double sampling and single sampling are techniques used in quality control to determine the acceptance of a lot based on the inspection of a sample.
Assertion (A):
Double sampling is preferred over single sampling when the quality of incoming lots is expected to be either very good or very bad.
- This assertion is false.
- Double sampling is mainly advantageous when the quality of the lots is uncertain or varies, allowing for better decision-making without excessive inspection.
Reason (R):
With double sampling, the amount of inspection required will be lesser than that in the case of single sampling.
- This reason is true.
- Double sampling allows for a two-tier inspection process, where if the first sample indicates clear results (either good or bad), the second sample may not need to be inspected, thus potentially reducing the overall inspection effort.
Conclusion:
The correct answer is option D: A is false but R is true.
- Double sampling is not specifically preferred for lots that are expected to be very good or very bad; rather, it is designed for situations where quality is uncertain.
- The reason correctly identifies a key benefit of double sampling but does not support the assertion.
In summary, while the reason highlights the efficiency of double sampling, it does not justify the assertion regarding its preference based on expected quality.
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Question Description
Assertion (A): Double sampling is preferred over single sampling when the quality or incoming lots is expected to be either very good or very bad.Reason (R): With double sampling, the amount of inspection required will be lesser than that in the case of single sampling.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assertion (A): Double sampling is preferred over single sampling when the quality or incoming lots is expected to be either very good or very bad.Reason (R): With double sampling, the amount of inspection required will be lesser than that in the case of single sampling.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): Double sampling is preferred over single sampling when the quality or incoming lots is expected to be either very good or very bad.Reason (R): With double sampling, the amount of inspection required will be lesser than that in the case of single sampling.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?.
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