solution

In the past, Alpha Corporation has not performed incoming
quality control inspections but has taken the word of its vendors. However,
Alpha has been having some unsatisfactory experience recently with the quality
of purchased items and wants to set up sampling plans for the receiving
department to use.

For a particular component, X, Alpha has a lot
tolerance percentage defective of 38 percent. Zenon Corporation, from which
Alpha purchases this component, has an acceptable quality level in its
production facility of 13 percent for component X. Alpha has a consumer’s risk
of 10 percent and Zenon has a producer’s risk of 5 percent.

a. When a shipment of Product X is received from
Zenon Corporation, what sample size should the receiving department test? Use
Exhibit 13.10. Note: if the exact value of the computed LTPD/AOQ ratio does not
appear in Exhibit 13.10, use the next higher ratio. (Round up your answer to
the next whole number.)

Sample size

b. What is the allowable number of defects in
order to accept the shipment? Allowable number of defects