The management of a line that fills cereal boxes wants the box filled at 32.2 ounces.When the process is in control,the standard deviation is .1 ounces.
a.Construct the upper and lower control limits for a 3-sigma x-bar chart using a sample size of five.
b.The results from the last 10 samples follow.Is the process in control?
$\begin{array}{c}
\quad\quad\quad\text { Observation }\
\begin{array}{crrrrr}
\text { Sample \# } & 1 & 2 & 3 & 4 &5 \
\hline 1 & 32.07 & 32.00 & 32.43 & 32.50 & 32.03 \
2 & 32.21 & 32.09 & 32.17 & 32.33 & 32.32 \
3 & 32.10 & 32.41 & 32.50 & 32.01 & 32.19 \
4 & 32.20 & 32.05 & 32.05 & 32.08 & 32.18 \
5 & 32.37 & 32.07 & 32.20 & 32.02 & 32.18 \
6 & 32.28 & 32.26 & 32.17 & 32.08 & 32.41 \
7 & 32.22 & 32.27 & 32.16 & 32.26 & 32.08 \
8 & 32.37 & 32.29 & 32.07 & 32.29 & 32.04 \
9 & 32.42 & 32.15 & 32.45 & 32.03 & 32.15 \
10 & 32.03 & 32.19 & 32.05 & 32.35 & 32.14
\end{array}\end{array}$

Question

The management of a line that fills cereal boxes wants the box filled at 32.2 ounces.When the process is in control,the standard deviation is .1 ounces.
a.Construct the upper and lower control limits for a 3-sigma x-bar chart using a sample size of five.
b.The results from the last 10 samples follow.Is the process in control?
 $\begin{array}{c}
\quad\quad\quad\text { Observation }\
\begin{array}{crrrrr}
\text { Sample \# } & 1 & 2 & 3 & 4 &5 \
\hline 1 & 32.07 & 32.00 & 32.43 & 32.50 & 32.03 \
2 & 32.21 & 32.09 & 32.17 & 32.33 & 32.32 \
3 & 32.10 & 32.41 & 32.50 & 32.01 & 32.19 \
4 & 32.20 & 32.05 & 32.05 & 32.08 & 32.18 \
5 & 32.37 & 32.07 & 32.20 & 32.02 & 32.18 \
6 & 32.28 & 32.26 & 32.17 & 32.08 & 32.41 \
7 & 32.22 & 32.27 & 32.16 & 32.26 & 32.08 \
8 & 32.37 & 32.29 & 32.07 & 32.29 & 32.04 \
9 & 32.42 & 32.15 & 32.45 & 32.03 & 32.15 \
10 & 32.03 & 32.19 & 32.05 & 32.35 & 32.14
\end{array}\end{array}$

Quizplus · Accepted Answer

The Answer of The management of a line that fills cereal boxes wants the box filled at 32.2 ounces.When the process is in control,the standard deviation is .1 ounces.
a.Construct the upper and lower control limits for a 3-sigma x-bar chart using a sample size of five.
b.The results from the last 10 samples follow.Is the process in control?
 $\begin{array}{c}
\quad\quad\quad\text { Observation }\
\begin{array}{crrrrr}
\text { Sample \# } & 1 & 2 & 3 & 4 &5 \
\hline 1 & 32.07 & 32.00 & 32.43 & 32.50 & 32.03 \
2 & 32.21 & 32.09 & 32.17 & 32.33 & 32.32 \
3 & 32.10 & 32.41 & 32.50 & 32.01 & 32.19 \
4 & 32.20 & 32.05 & 32.05 & 32.08 & 32.18 \
5 & 32.37 & 32.07 & 32.20 & 32.02 & 32.18 \
6 & 32.28 & 32.26 & 32.17 & 32.08 & 32.41 \
7 & 32.22 & 32.27 & 32.16 & 32.26 & 32.08 \
8 & 32.37 & 32.29 & 32.07 & 32.29 & 32.04 \
9 & 32.42 & 32.15 & 32.45 & 32.03 & 32.15 \
10 & 32.03 & 32.19 & 32.05 & 32.35 & 32.14
\end{array}\end{array}$

The Management of a Line That Fills Cereal Boxes Wants