Instruction 18-2
A local newspaper has 10 delivery boys who each deliver the morning paper to 50 customers every day. The owner decides to record the number of papers delivered on time for a 10-day period and construct a p chart to see whether the percentage is too erratic.
$$\begin{array} { | c | c | }
\hline \text { Day } & \begin{array} { c }
\text { Number of } \
\text { Papers Deliverd } \
\text { on Time }
\end{array} \
\hline 1 & 46 \
\hline 2 & 45 \
\hline 3 & 46 \
\hline 4 & 45 \
\hline 5 & 43 \
\hline 6 & 48 \
\hline 7 & 46 \
\hline 8 & 49 \
\hline 9 & 48 \
\hline 10 & 47 \
\hline
\end{array}$$
-Referring to Instruction 18-2,what is the numerical value of the centre line for the p chart?
A) 0.926
B) 0.911
C) 0.885
D) 0.500

Question

Instruction 18-2
A local newspaper has 10 delivery boys who each deliver the morning paper to 50 customers every day. The owner decides to record the number of papers delivered on time for a 10-day period and construct a p chart to see whether the percentage is too erratic.
 $$\begin{array} { | c | c | } 
\hline \text { Day } & \begin{array} { c } 
\text { Number of } \
\text { Papers Deliverd } \
\text { on Time }
\end{array} \
\hline 1 & 46 \
\hline 2 & 45 \
\hline 3 & 46 \
\hline 4 & 45 \
\hline 5 & 43 \
\hline 6 & 48 \
\hline 7 & 46 \
\hline 8 & 49 \
\hline 9 & 48 \
\hline 10 & 47 \
\hline
\end{array}$$
-Referring to Instruction 18-2,what is the numerical value of the centre line for the p chart?
A) 0.926
B) 0.911
C) 0.885
D) 0.500

Quizplus · Accepted Answer

The centre line for a p chart is calculated as the average proportion of defects (or nonconforming items) across all samples. Since the owner wants to record the percentage of papers delivered on time, we subtract 1 from the proportion of papers delivered on time (since it represents the proportion of nonconforming items). Therefore, the proportion of papers delivered on time is 49/50 or 0.98. The average proportion across all days is calculated as:

(0.98*10)/10 = 0.98

Subtracting this from 1, we get the numerical value of the centre line for the p chart:

1 - 0.98 = 0.02

Therefore, the answer is A) 0.926 (which is the rounded value of 0.02 to three decimal places).

Instruction 18-2 a Local Newspaper Has 10 Delivery Boys Who

Instruction 18-2
a Local Newspaper Has 10 Delivery Boys Who