A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The amounts measured in a simple random sample of eight cans are: $$\begin{array} { l l l l l l l l }
11.97 & 12.10 & 12.06 & 12.15 & 11.99 & 12.07 & 11.91 & 12.05
\end{array}$$ The following is a dotplot for these data. Is it reasonable to assume the conditions for performing a hypothesis
Test are satisfied?

Question

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The amounts measured in a simple random sample of eight cans are: $$\begin{array} { l l l l l l l l } 
11.97 & 12.10 & 12.06 & 12.15 & 11.99 & 12.07 & 11.91 & 12.05
\end{array}$$ The following is a dotplot for these data. Is it reasonable to assume the conditions for performing a hypothesis
Test are satisfied?

Quizplus · Accepted Answer

The dotplot shows that the sample data is approximately symmetric and does not appear to have any outliers. This suggests that the conditions for performing a hypothesis test are likely satisfied, specifically the assumption of normality and absence of outliers.

A Machine That Fills Beverage Cans Is Supposed to Put 11.9712.1012.0612.1511.9912.0711.9112.05\begin{array} { l l l l l l l l } 11.97 & 12.10 & 12.06 & 12.15 & 11.99 & 12.07 & 11.91 & 12.05\end{array}11.97​12.10​12.06​12.15​11.99​12.07​11.91​12.05​

A Machine That Fills Beverage Cans Is Supposed to Put $\begin{array} { l l l l l l l l } 11.97 & 12.10 & 12.06 & 12.15 & 11.99 & 12.07 & 11.91 & 12.05\end{array}$