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.

Question

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.

Quizplus · Accepted Answer

An ANOVA test would be appropriate here to compare the means of the three machines. Given the data, the variation in the means suggests a significant difference at $\alpha = 0.05$.

A Vending Machine Company Wants to Check Three of Its