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The Following Data Contains Task Completion Times, in Minutes, Categorized

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Essay

The following data contains task completion times, in minutes, categorized according to the gender of the machine
operator and the machine used.  Male  Female  Machine 1 15,1716,17 Machine 2 14,1315,13 Machine 3 16,1817,19\begin{array} { l l l } & \text { Male } & \text { Female } \\\text { Machine 1 } & 15,17 & 16,17 \\\text { Machine 2 } & 14,13 & 15,13 \\\text { Machine 3 } & 16,18 & 17,19\end{array} The ANOVA results lead us to conclude that the completion times are not affected by an interaction between machine
and gender, and the times are not affected by gender, but they are affected by the machine. Change the table entries so
that there is an effect from the interaction between machine and gender.


Definitions:

Pearson R

A statistical measure of the strength and direction of a linear relationship between two variables.

Absolute Size

A measure or quantity's actual size or magnitude, not relative to other measures or quantities.

Strength

The capacity to withstand force or stress without alteration, often used in physical contexts but also applicable to emotional or character attributes.

Effect Size

A quantitative measure of the magnitude of a phenomenon or the strength of the relationship between variables, commonly used in statistical analyses.

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