A Company That Fills Containers of Water Has Four Machines

question 155

Essay

A company that fills containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 containers,we have the following data of fill measures in litres: $$\begin{array} { l l l l l } & \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } & \text { Machine 4 } \\\mathrm { N } & 4 & 6 & 5 & 4 \\\bar { x } & 4.03 & 4.0017 & 3.974 & 4.005 \\\mathrm {~S} & 0.0183 & 0.0117 & 0.0182 & 0.0129\end{array}$$ and the following partial ANOVA table (with "group" labeled as "treatment"): $$\begin{array} { l c c c c } \text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \\\text { Treatments } & & & 0.002359 \\\text { Errors } & & & \\\text { Total } & 0.010579 & &\end{array}$$
-Complete the ANOVA table and calculate F.

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Definitions:

Checking Rituals

Repetitive behaviors or mental acts that a person feels driven to perform in response to an obsession, often seen in obsessive-compulsive disorder (OCD).

Clinical Practitioner

A healthcare professional who assesses and treats patients in a clinical setting, which includes doctors, nurses, and therapists among others.

Psychological Causes

Factors originating in the mind that can lead to emotional distress, behavioral problems, or mental health disorders.

Legal Norms

Rules or standards established by a society that dictate acceptable behavior and actions, enforced through legal systems.