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:

Practical Intelligence

The ability to solve everyday problems through skilled reasoning that relies on tacit knowledge.

Interpersonal Intelligence

The capacity to understand the intentions, motivations, and desires of other people and to work effectively with others.

Analytic Intelligence

The ability typically measured by intelligence tests and crucial for academic success.

Tacit Intelligence

A form of intelligence that is understood or implied without being stated openly, often considered a component of practical intelligence.