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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}

question 10

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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: 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} The following is a dotplot for these data. Is it reasonable to assume the conditions for performing a hypothesis
Test are satisfied?  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?


Definitions:

Tukey Multiple Comparison Method

A statistical technique used to find the differences among group means in a situation where there are more than two groups.

Pairwise Means

The average values obtained from every possible pair of groups or treatments in a study, often used in post-hoc analysis following ANOVA.

Population Means

The average value of a particular characteristic in a population.

Normality

A property of a dataset suggesting that it follows a normal or Gaussian distribution.

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