The GATE Grind

GATE 2024 PI – Question 44

Quality and Reliability · Quality Management · 2 marks · Multiple select

For an acceptance-sampling plan, which ONE OR MORE statements are true?

  1. Type II error decreases as type I error increases.
  2. Rejecting a good lot is producer’s risk.
  3. Type II error decreases as sample size decreases.
  4. Rejecting a good lot is consumer’s risk.

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Show answer and explanation

Correct answer: (A) Type II error decreases as type I error increases.; (B) Rejecting a good lot is producer’s risk.

Explanation

Producer’s risk is the probability of rejecting an acceptable lot, a type I error. At fixed sample size, making acceptance stricter typically reduces type II error while increasing type I error. Reducing sample size does not generally reduce type II error, and consumer’s risk is accepting a bad lot. **A,B**.

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