A manufacturer of men’s jeans purchases zippers in lots of 500. The jeans manufacturer uses single-sample acceptance sampling with a sample size of 10 to determine whether to accept the lot. The manufacturer uses c = 2 as the acceptance number. Suppose 3% nonconforming zippers are acceptable to the manufacturer and 8% nonconforming zippers are not acceptable. Find

(i) Probability of accepting a lot of incoming quality 0.04.
(ii) Average outing quality (AOQ), if the rejected lots are screened and all defective zippers are replaced by non-defectives.
(iii) Average total inspection (ATI). 

Statistical Quality Control:

(i) Probability of accepting a lot of incoming quality 0.04:

To find the probability of accepting a lot, we can use the binomial distribution formula since the acceptance sampling follows a binomial distribution.

Let \( p \) be the proportion of nonconforming zippers in the lot (incoming quality). Here, \( p = 0.04 \). The sample size is \( ___ __________ ________ ________ __________ _________ _____ ____ _________ ___ _____ ___.
______ _____ __________ _________ _____ ______.
______ ___ ________ ______ ____ ___ _______ _________ ______ __________.
_________ _______ ______ _______ _____ ___ _______ ______ _____ _______ _______.
__________ _________ ___ ______ ______ _________ _____ ___.
____ _________ ___ ____ ________ ____.
________ ____ ________ ______ ______ ____ ____ _____ _______ _______ __________ ____.
_________ ________ __________ ____ _______.
______ ______ _____ _________ _________ _______.
___ _____ __________ _______ ____ _____ ______ _________ _____ _________ __________.
_________ __________ ____ ___ ____.
__________ ________ ______ _______ ____ ________.
_________ __________ __________ ______ ___ _______ ________ ___ ___ ___ _______.
________ ____ _______ ___ ____ ____ ______ ____ _____ ____ ________.
_________ ______ ___ ________ ___ ____ _____ _____ ____ __________ ___ ____.
___ _______ _____ _______ _______ _______ _______ __________ ___.
__________ _____ _____ __________ __________ __________.
_______ _________ _________ ____ ____ ________ ___ ___ ____ ____ ____.
_____ _______ ____ _____ __________ _______ ________ ___ ____ _________.
__________ ____ ____ _____ _____ ___ __________ ______.
______ _______ ______ ___ _____ _______ ____ _____.
______ ____ ___ ______ ____ ___ ______ ______ ____ __________ ___.
__________ ____ _________ __________ __________ __________ _____ ______.
__________ _______ ___ ____ ____ ________ ____ __________ ____ _____ ___.
_____ ________ ___ __________ ____ _______ ___ __________.
______ ______ ____ ______ _________ _________ _______.
______ _______ ____ ___ ____ _______.
_________ ________ _____ ________ _____ _____ ____ _________ _______ _____.
____ ____ _________ ____ __________ ________ ________ ________ ___ _____.
_______ ______ _______ ______ _____ ___.
___ _________ _____ ___ ___ ___ ____ __________.
____ _____ _______ __________ ________ ___.
________ ________ ____ ______ ________ ____ ________ ____ _________ ______ _______.
____ ________ _____ ___ ________ _________ ______.
__________ ____ _______ _____ ________ _________ _________ _________ _________ ____.
__________ ____ ________ ____ ________ ____ _________ _____ ________ ________.
___ _____.
Get Full Answer on WhatsApp