Suppose we want to design a single attribute sampling plan so that
In other words, we want to find an attribute sampling plan whose OC curve passes through the two points (0.02, 0.95) and (0.1, 0.15). How can we design a plan (i.e., choose appropriate values of n and c) that satisfies these criteria? We suppose that the lot size is large as compared with the sample size, so the Binomial approximation suffices. We could use a mathematical approach (Wetherill, 1969), but we can also make use of the Spin Button to design the desired sampling plan.
Here is the spreadsheet for designing a sampling plan (n, c) for (0.02, 0.95) and (0.1, 0.15). As before, you can click on the chart to get to the Excel environment. Use the Spin Button to change the values of n and c. You will see that the acceptance number has a much greater effect on the P_{a} and hence the shape of the OC curve than the sample number.
After experimenting with values of n and c, you should find that the sampling plan which has an OC curve approximately passing through the two points (0.02, 0.95) and (0.1, 0.15) is n = 61, c = 3.