A Single-Sampling Plan Using a Sample Size of 50 on a Lot

question 3

Multiple Choice

A single-sampling plan using a sample size of 50 on a lot size of 2,000 has the following performance:
$$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Proportion } \\\text { Defective }\end{array} & \begin{array} { c } \text { Probability of } \\\text { Acceptance }\end{array} \\\hline 0.01 & 0.98 \\\hline 0.02 & 0.95 \\\hline 0.03 & 0.90 \\\hline 0.04 & 0.74 \\\hline 0.05 & 0.41 \\\hline 0.06 & 0.15 \\\hline\end{array}$$
Today the company making the purchase receives two lots of 2,000 items and the inspection department is in a big hurry.Which action will result in an identical AOQL for the purchasing company?

• A) Take a random sample of 25 from each lot and accept or reject both lots based on the results.
• B) Take a random sample of 50 from one lot and accept or reject the second lot based on the first lot's results.
• C) Take a random sample of 100 from one lot and accept or reject the second lot based on the first lot's results.
• D) Take a random sample of 50 from each lot and accept or reject each lot based on the results.

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Definitions:

Distributing

The process of making a product or service available for use or consumption by a consumer or business user.

Promoting

The act of marketing or endorsing a product, service, or brand to increase awareness, sales, and customer interest.