(Solved):     For a particular component, \( X \), Alpha has a lot tolerance percentage defecti ...

 

 

For a particular component, \( X \), Alpha has a lot tolerance percentage defective of 40 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 15 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 10.16. Note: if the exact value of the computed LTPD/AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. (Round up your answer to the next whole number.) b. What is the allowable number of defects in order to accept the shipment? \begin{tabular}{|ccc} \hline Excerpt from a Sampling Plan Table for \( \alpha \) \\ \( c \) & LTPD/AQL & \( n * \) AQL \\ \hline 0 & \( 44.890 \) & \( 0.052 \) \\ \hline 1 & \( 10.946 \) & \( 0.355 \) \\ \hline 2 & \( 6.509 \) & \( 0.818 \) \\ \hline 3 & \( 4.890 \) & \( 1.366 \) \\ \hline 4 & \( 4.057 \) & \( 1.970 \) \\ \hline \end{tabular} \begin{tabular}{ccc} \( c \) & LTPD/AQL & \( n * \mathrm{AQL} \) \\ \hline 5 & \( 3.549 \) & \( 2.613 \) \\ \hline 6 & \( 3.206 \) & \( 3.286 \) \\ \hline 7 & \( 2.957 \) & \( 3.981 \) \\ \hline 8 & \( 2.768 \) & \( 4.695 \) \\ \hline 9 & \( 2.618 \) & \( 5.426 \) \\ \hline \end{tabular}