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1. Using MS Excel or other software, prepare the table and graph of an OC curve for simple sampling plans and double sampling plans. For the simple sampling plan consider two options
a) n=50; c=2; r=3; and
b) n=65; c=2; r=3.
For the double sampling plans compute the OC curve of
a) n1 = 50; c1 = 1; n2 = 40; c2 = 3; r = 4 and
b) n1 = 65; c1 = 1; n2 = 40; c2 = 3; r = 4.
Note: c3 includes defective product found in the first sample plus defective found in the second sample.
Hint: To a see a worked example, refer to section 15.3.1 in the book and problem #8 in the sample test with solutions
2. Write a report (MS Word or PDF) describing the contrast between these plans (include the tables and graphics prepared in MS Excel in the written report, particularly the impact on the risk of the consumer and the risk of the producer. Identify in all these plans the conditions that make the risk for the producer to be equal to 5%, and the conditions that make the risk for the consumer to be 10%. Assuming a lot size of 2000, make a graph of the AOC and the ATI for these plans.
Indicate which plan is closer to the ideal OC for a sampling plan and why?
Make sure you properly caption tables, figures, and formulas. If you have questions about this let me know.
3. Turn in both your written report and the MS Excel file.
4. Extra credit
If you also turn in an analysis of the OC curve in R, you will get 40% extra credit. The R part of the project requires the code, input, and output of the R in a PDF file, indicating the steps to process the information. It must contain a description of the data frames used and the graphic representation of the OC curves.
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