(Situation E) a Machine at K-Company Fills Boxes with Bran

question 63

Short Answer

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24
ounces. The company would like to use control charts to monitor the performance of the machine. The company decides
to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty
measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } \hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \\\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \\2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \\3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \\4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \\5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \\6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \\7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \\8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \\9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \\10 & 24.2 & 0.60 & 20 & 24.2 & 1.01 \\\hline\end{array}$$
-Calculate the centerline for constructing the $\bar { x } \text {-chart. }$

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Definitions:

Continuous Improvement

A methodological approach aimed at achieving incremental enhancements in processes, products, or services over time, often associated with quality management systems.

Value Chain

A series of activities that a company performs to deliver a valuable product or service to its customers, from concept to delivery.

ISO Certification

A certification that indicates compliance with international standards developed by the International Organization for Standardization.

Consistently Performed

Actions or tasks carried out with uniformity and reliability over a period, ensuring stability and predictability in outcomes.