Choosing OC Curve For Appropriate Sampling Plan 1 - Sampling Technique

TL;DR

Learn about the OC curve for double sampling plans, which involves two curves showing the probability of acceptance based on the first sample and the combined samples.

Transcript

hello students today let us discuss the topic choosing oc curve for appropriate sampling plan so we have already learnt about the oc curve for a single sampling plan so we had seen that the oc curve is nothing but a graph between the percent defective p dash and probability of acceptance pa on the y axis and this p dash on the x axis so the shape o... Read More

Key Insights

• 🌱 The OC curve for double sampling plans involves two curves depicting the probability of acceptance based on the first sample and the combined samples.
• ⚾ Equations are used to determine acceptance or rejection based on the number of defectives in each sample.
• 🖐️ The acceptance numbers, c1 and c2, play a crucial role in deciding whether the lot is accepted or rejected.
• #️⃣ The lot is accepted if the number of defectives in the first sample is c1 or less and if the combined number of defectives in both samples is less than or equal to c2.

Questions & Answers

Q: What is the OC curve for double sampling plans?

The OC curve for double sampling plans consists of two curves, one representing the probability of acceptance based on the first sample and the other representing the probability of acceptance for both samples combined.

Q: How are the equations for the double sampling plan obtained?

The equations for the double sampling plan are obtained by considering the number of defectives in each sample and the acceptance numbers (c1 and c2). If the number of defectives in the first sample is c1 or less, the lot is accepted. If the combined number of defectives in both samples is less than or equal to c2, the lot is also accepted.

Q: Can you provide an example of acceptance and rejection based on the double sampling plan equations?

Sure. Let's say c1 is 8 and c2 is 12. If the number of defectives in the first sample is 2 and in the second sample is 8, the lot will be accepted because the combined number of defectives is 10, which is less than c2. However, if the number of defectives in the first sample is 13, the lot will be rejected.

Q: When is the lot rejected in a double sampling plan?

The lot is rejected in a double sampling plan when either the number of defectives in the first sample is greater than c2 or the combined number of defectives in both samples is greater than c2.

Summary & Key Takeaways

• The OC curve for double sampling plans consists of two curves representing the probability of acceptance based on the first sample and the combined samples.

• The first curve shows the probability of acceptance for the first sample, while the second curve represents the probability of acceptance for both samples combined.

• To construct the OC curve, equations are used to determine acceptance based on the number of defectives in each sample.