Table 6.4
The manager of Kewpie has recently implemented an attribute-based process control method. The accompanying table shows the results of five different samples of dolls from the five weeks of production after the process control method was implemented.
$$\begin{array} { | c | c | c | }
\hline \text { Week } & \begin{array} { c }
\text { Sample } \
\text { Size }
\end{array} & \begin{array} { c }
\text { Number } \
\text { Defective }
\end{array} \
\hline 1 & 100 & 3 \
2 & 100 & 20 \
3 & 100 & 23 \
4 & 100 & 12 \
5 & 100 & 13 \
\hline
\end{array}$$
-Assume that the newly implemented control chart has a central line of p = 0.10,with the standard deviation computed from this original value.Assume also that z = 2 is used for defining the control limits and sample sizes of 100 dolls.What can be said about the doll-making process based on the first five weeks of experience from Table 6.4?
A) The process is in control.
B) The process is out of control.
C) More information should be collected.
D) The process is capable.

Question

Table 6.4
The manager of Kewpie has recently implemented an attribute-based process control method. The accompanying table shows the results of five different samples of dolls from the five weeks of production after the process control method was implemented.
 $$\begin{array} { | c | c | c | } 
\hline \text { Week } & \begin{array} { c } 
\text { Sample } \
\text { Size }
\end{array} & \begin{array} { c } 
\text { Number } \
\text { Defective }
\end{array} \
\hline 1 & 100 & 3 \
2 & 100 & 20 \
3 & 100 & 23 \
4 & 100 & 12 \
5 & 100 & 13 \
\hline
\end{array}$$
-Assume that the newly implemented control chart has a central line of p = 0.10,with the standard deviation computed from this original value.Assume also that z = 2 is used for defining the control limits and sample sizes of 100 dolls.What can be said about the doll-making process based on the first five weeks of experience from Table 6.4?
A) The process is in control.
B) The process is out of control.
C) More information should be collected.
D) The process is capable.

Quizplus · Accepted Answer

Since the number of defects in the second, third and fourth weeks were above the upper control limit, it can be concluded that the process is out of control. This indicates that there are some assignable causes of variation present in the doll-making process, which needs to be identified and eliminated to bring the process back in control. The other two weeks fell within the control limits, but it is too early to conclude that the process is in control based on only five weeks of data. Further data collection and analysis is required to confirm the stability of the process. The table does not provide enough information to determine whether the process is capable or not.

Table 64 the Manager of Kewpie Has Recently Implemented an Attribute-Based

Table 64
the Manager of Kewpie Has Recently Implemented an Attribute-Based