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Question: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 experiences 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 of tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha has a consumer鈥檚 risk of 10 percent and Zenon has a producer鈥檚 risk of 5 percent.

1. When a shipment of product X is received from Zenon Corporation, what sample size should the receiving department test?

1. What is the allowable number of defects to accept the shipment?

Step by step solution

01

Step-by-Step Solution Step 1: (a) Calculation of sample size

AQL= 0.03,

LTPD= 0.10,

C= 5

n (AQL) = 2.613

$\begin{array}{rcl}\frac{\mathrm{LTPD}}{\mathrm{AQL}}& =& \frac{0.10}{0.03}\\ & =& 3.333\end{array}$

$\begin{array}{c}\mathrm{n}=\frac{2.613}{\mathrm{AQL}}\\ =\frac{2.613}{0.03}\\ \mathrm{n}=87.1\end{array}$

n = 87.1

Round up the answer to the next whole number i.e.

n = 88

02

(b) Allowance of number of defects

Allowup to 5defective components.

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