In: Statistics and Probability
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.