SCENARIO 18-4
A factory supervisor is concerned that the time it takes workers to complete an important production
task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor
proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and
range for each hour are listed below. $$\begin{array} {ccc}
\underline {\text { Hour }} & \underline { \bar { X } } & \underline { R } \
1 & 18.4 & 25 \
2 & 16.9 & 27 \
3 & 23.0 & 30 \
4 & 21.2 & 23 \
5 & 21.0 & 24 \
6 & 24.0 & 25 \
7 & 19.3 & 12 \
8 & 15.8 & 14 \
9 & 20.0 & 13 \
10 & 23.0 & 11
\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to Scenario 18-4, what percentage of the time it takes workers to complete an important
production task will fall inside the specification limits?

Question

SCENARIO 18-4
A factory supervisor is concerned that the time it takes workers to complete an important production
task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor
proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and
range for each hour are listed below. $$\begin{array} {ccc} 
\underline {\text { Hour }} & \underline { \bar { X } } & \underline { R } \
1 & 18.4 & 25 \
2 & 16.9 & 27 \
3 & 23.0 & 30 \
4 & 21.2 & 23 \
5 & 21.0 & 24 \
6 & 24.0 & 25 \
7 & 19.3 & 12 \
8 & 15.8 & 14 \
9 & 20.0 & 13 \
10 & 23.0 & 11
\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to Scenario 18-4, what percentage of the time it takes workers to complete an important
production task will fall inside the specification limits?

Quizplus · Accepted Answer

The Answer of SCENARIO 18-4
A factory supervisor is concerned that the time it takes workers to complete an important production
task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor
proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and
range for each hour are listed below. $$\begin{array} {ccc} 
\underline {\text { Hour }} & \underline { \bar { X } } & \underline { R } \
1 & 18.4 & 25 \
2 & 16.9 & 27 \
3 & 23.0 & 30 \
4 & 21.2 & 23 \
5 & 21.0 & 24 \
6 & 24.0 & 25 \
7 & 19.3 & 12 \
8 & 15.8 & 14 \
9 & 20.0 & 13 \
10 & 23.0 & 11
\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to Scenario 18-4, what percentage of the time it takes workers to complete an important
production task will fall inside the specification limits?

SCENARIO 18-4 a Factory Supervisor Is Concerned That the Time

SCENARIO 18-4
a Factory Supervisor Is Concerned That the Time