$$\begin{array} { | c | c | c | }
\hline n & \begin{array} { c }
\text { Producer's } \
\text { Risk } \
( p = \mathrm { AQL } )
\end{array} & \begin{array} { c }
\text { Consumer's } \
\text { Risk } \
( p = \mathrm { LTPD } )
\end{array} \
\hline 60 & 0.122 & 0.126 \
80 & 0.191 & 0.048 \
100 & 0.264 & 0.017 \
120 & 0.332 & 0.006 \
\hline
\end{array}$$
-A quality manager has established a sampling plan that calls for a sample size of 200 units and an acceptance number of 3.The supplier has agreed to a contract that calls for an AQL of 0.01 and an LTPD of .03.What is the consumer's risk? Table I.1 is appended to this exam.
A) Less than 0.14
B) Between 0.14 and 0.15
C) Between 0.15 and 0.16
D) Greater than 0.16

Question

$$\begin{array} { | c | c | c | } 
\hline n & \begin{array} { c } 
\text { Producer's } \
\text { Risk } \
( p = \mathrm { AQL } )
\end{array} & \begin{array} { c } 
\text { Consumer's } \
\text { Risk } \
( p = \mathrm { LTPD } )
\end{array} \
\hline 60 & 0.122 & 0.126 \
80 & 0.191 & 0.048 \
100 & 0.264 & 0.017 \
120 & 0.332 & 0.006 \
\hline
\end{array}$$
-A quality manager has established a sampling plan that calls for a sample size of 200 units and an acceptance number of 3.The supplier has agreed to a contract that calls for an AQL of 0.01 and an LTPD of .03.What is the consumer's risk? Table I.1 is appended to this exam.
A) Less than 0.14
B) Between 0.14 and 0.15
C) Between 0.15 and 0.16
D) Greater than 0.16

Quizplus · Accepted Answer

To find the consumer's risk, we need to use the OC curve in Table I.1. The acceptance number is 3, so we need to find the row in the table where c=3. The sample size is 200, so we need to find the column in the table where n=200.

From the table, we can see that the corresponding value is 0.154, which means that the probability of accepting a lot with a true proportion of 0.03 is 0.846, and the probability of rejecting a lot with a true proportion of 0.01 is 0.154.

Therefore, the consumer's risk is 0.154, which is between 0.15 and 0.16. The answer is (C).

-A Quality Manager Has Established a Sampling Plan That Calls