A lot of 1,000 items is on the loading dock.A single-sampling plan calls for a sample size of 10.The following table gives the probability of acceptance for the plan over a range of possible quality levels.
$$\begin{array} { | c | c | }
\hline \begin{array} { c }
\text { Proportion } \
\text { Defective }
\end{array} & \begin{array} { c }
\text { Probability of } \
\text { Acceptance }
\end{array} \
\hline 0.01 & 0.97 \
\hline 0.02 & 0.85 \
\hline 0.03 & 0.60 \
\hline 0.04 & 0.50 \
\hline 0.05 & 0.24 \
\hline 0.06 & 0.05 \
\hline
\end{array}$$
What is the average outgoing quality limit for this plan?
A) Less than or equal to 0.018
B) Greater than 0.0180 but less than or equal to 0.0200
C) Greater than 0.0200 but less than or equal to 0.0220
D) Greater than 0.0220

Question

A lot of 1,000 items is on the loading dock.A single-sampling plan calls for a sample size of 10.The following table gives the probability of acceptance for the plan over a range of possible quality levels.
$$\begin{array} { | c | c | } 
\hline \begin{array} { c } 
\text { Proportion } \
\text { Defective }
\end{array} & \begin{array} { c } 
\text { Probability of } \
\text { Acceptance }
\end{array} \
\hline 0.01 & 0.97 \
\hline 0.02 & 0.85 \
\hline 0.03 & 0.60 \
\hline 0.04 & 0.50 \
\hline 0.05 & 0.24 \
\hline 0.06 & 0.05 \
\hline
\end{array}$$
What is the average outgoing quality limit for this plan?
A) Less than or equal to 0.018
B) Greater than 0.0180 but less than or equal to 0.0200
C) Greater than 0.0200 but less than or equal to 0.0220
D) Greater than 0.0220

Quizplus · Accepted Answer

The average outgoing quality limit (AOQL) is the maximum product of the proportion defective and the probability of acceptance. The highest value in the table is at 0.03 proportion defective with a probability of acceptance of 0.60, giving an AOQL of 0.018 (0.03 * 0.60).

A Lot of 1,000 Items Is on the Loading Dock