A particular product is delivered to a consumer in lots of 6,000 units. The average percent defective
Question:
A particular product is delivered to a consumer in lots of 6,000 units. The average percent defective is p = 1 %.
A)The sampling plan is as follows: n=100 units are drawn from the sample randomly. If c=2 or less defectives are found, the lot is accepted, otherwise it is rejected. Assuming N is infinite, construct a table as below and draw an OC curve for this sampling plan using a minimum of four points at: p= 0.01, 0.03, 0.06, 0.09.
p :
Pa :
AOQ:
ATI :
B) What is the producer risk at p=0.01 for the sampling plan specified above?
C) Determine Average Outgoing Quality for the four p values above and plot the results. Show the AOQL on the graph or the table.
D) If a lot is received per day for 365 days/year, about how many lots will be rejected per year on the average based on the 1% defect rate.
E) If the Lot Tolerance Percent Defective (LTPD) is 6%, what is the corresponding probability of lot acceptance (i.e., the consumer risk)? Show it on the OC curve.
F) How many bad lots of this quality (6%) are expected to be accepted per year? G)Calculate the Average Total number Inspected per lot for the same four p values and plot your result roughly.