Question

In: Statistics and Probability

At the beginning of each football season Team Sports, the local sporting goods store, purchases 5000...

At the beginning of each football season Team Sports, the local sporting goods store, purchases
5000 footballs. A sample of 25 balls is selected, and they are in ated, tested, and then de ated. If
more than two balls are found defective, the lot of 5000 is returned to the manufacturer.
1. Develop an OC curve for this sampling plan. Show the table of calculation.
2. For =5% and =10%, what are the approximate values of AQL and LTPD? (give a range
for each one).
3. What are the probabilities of accepting lots that are 10 percent, 15, percent, 20 percent, and
30 percent defective?
4. John Brennen, owner of Team Sports, would like the probability of accepting a lot that is
5 percent defective to be more than 90 percent. Does this appear to be the case with this
sampling plan?
5. If AQL=3%, what would be the producer risk? Interpret the result.
6. If LTPD=18%, what would be the consumer risk? Interpret the result.
7. Develop and interpret the AOQ curve.

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