The Fresh Pie Company purchases apples from a local farm to be used in preparing

Question

The Fresh Pie Company purchases apples from a local farm to be used in preparing the filling for its apple pies. Sometimes the apples are fresh and ripe. Other times they can be spoiled or not ripe enough. The company has decided that it needs an acceptance sampling plan for the purchased apples. Fresh Pie has decided that the acceptable quality level is 2 defective apples per 100, and the lot tolerance proportion defective is 5 percent. Producer's risk should be no more than 5 percent and consumer's risk 10 percent or less.

Develop a plan that satisfies the above requirements. (Round alpha and beta values to 3 decimal places, e.g. 15.250.)

With trial and error, n =

c =

produces alpha =

and beta =

Explanation / Answer

Solution :

Producers risk = 0.05

Consumers risk = 0.10

Acceptable quality level = 0.02

lot tolerance proportion defective = 0.05

LTPD/AQL = 0.05 / 0.02

LTPD/AQL = 2.5

The value of c and np 0.95 from the table are 10 and 6.169

np 0.95 = 6.169

n AQL = 6.169

n 0.02 = 6.169

n = 308.45

n= 308 ( approximately) sample size

acceptance number c = 10

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