(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:

Thalamus

A brain structure that acts as a relay station for sensory and motor signals to the cerebral cortex, with the exception of olfactory signals.

Amygdala

A part of the limbic system within the brain that is involved in emotions, decision-making, and memory processing.

Cerebellum

A region of the brain that plays a significant role in motor control, coordination, precision, and accurate timing of movements.

Brainstem

The posterior part of the brain, connecting the cerebrum with the spinal cord, responsible for controlling many basic life-sustaining functions like breathing and heart rate.