A Vending Machine Company Wants to Check Three of Its

question 52

Multiple Choice

A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below.
$\begin{array}{ccc}\hline \text { Machine A } & \text { Machine B } & \text { Machine C } \\\hline 11.8 & 11.7 & 12.2 \\12.1 & 11.9 & 12.1 \\12.0 & 11.7 & 12.0 \\11.9 & 11.8 & 11.9 \\12.1 & 12.0 & 12.2 \\\hline\end{array}$

Is there a significant difference between the vending machines $\mathrm { A } , \mathrm { B }$ , and $\mathrm { C }$ ? Use $\alpha = 0.05$

• A) The \(F\)-test cannot be used to answer whether or not there is a significant difference between the means.
• B) No, there is no significant difference between the means.
• C) Yes, there is a significant difference between the means.

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Definitions:

Abdominopelvic Cavity

The bodily cavity that comprises the abdominal cavity and the pelvic cavity, housing organs such as the liver, stomach, intestines, and reproductive organs.

Midsagittal

Pertaining to a plane that divides the body into equal left and right halves.

Cranial and Spinal

This refers to structures or functions related to both the cranium (skull) and the spine, often in the context of nerves or the central nervous system.

Continuous Cavities

Body spaces that are not separated by solid structures and allow for the continuous distribution of fluids or tissues.