A Proctor and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight (in ounces) of eight samples is presented below. A sample size of six was used.
$\begin{array} { c c c }
\text { Sample } & \text { Sample Mean } & \text { Sample Range } \
\hline 1 & 15.80 & 0.42 \
2 & 16.10 & 0.38 \
3 & 16.02 & 0.08 \
4 & 15.95 & 0.15 \
5 & 16.12 & 0.42 \
6 & 16.18 & 0.23 \
7 & 15.87 & 0.36 \
8 & 16.20 & 0.40
\end{array}$ Worksheet (this will not be graded but will help you answer exam questions)

-For the Proctor and Gamble detergent box problem, the lower control limit for the x-bar chart is _____.
A) less than or equal to 12
B) more than 12 but less than or equal to 14
C) more than 14 but less than or equal to 16
D) more than 16

Question

A Proctor and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight (in ounces) of eight samples is presented below. A sample size of six was used.
 $\begin{array} { c c c } 
\text { Sample } & \text { Sample Mean } & \text { Sample Range } \
\hline 1 & 15.80 & 0.42 \
2 & 16.10 & 0.38 \
3 & 16.02 & 0.08 \
4 & 15.95 & 0.15 \
5 & 16.12 & 0.42 \
6 & 16.18 & 0.23 \
7 & 15.87 & 0.36 \
8 & 16.20 & 0.40
\end{array}$ Worksheet (this will not be graded but will help you answer exam questions)
  
-For the Proctor and Gamble detergent box problem, the lower control limit for the x-bar chart is _____.
A) less than or equal to 12 
B) more than 12 but less than or equal to 14 
C) more than 14 but less than or equal to 16 
D) more than 16

Quizplus · Accepted Answer

The lower control limit (LCL) for an x-bar chart is calculated using the formula: LCL = X̄ - A2 * R̄. Without specific values for X̄ (the process mean) and R̄ (the average range), we can infer from the options that the LCL is more than 14 but less than or equal to 16.

A Proctor and Gamble Factory Process Fills Boxes with Detergent