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

question 9

Essay

The following data contains task completion times, in minutes, categorized according to the gender of the machine operator and the machine used.
$\begin{array} { l } & \text { male}& \text {female }\\ \text {Machine 1 }&15,17&16,17\\ \text {Machine 2}&14,13&15,13\\ \text { Machine 3}&16,18&17,19\\\end{array}$
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 no effect from the interaction between machine and gender, but there is an effect from the gender of the operator.

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Definitions:

Population Parameters

The actual values that describe characteristics of an entire population, such as mean, variance, and standard deviation.

Null Hypothesis

A hypothesis in statistics that proposes no significant difference or effect, serving as the default assumption to be tested.

Alternative Hypothesis

The Alternative Hypothesis is the hypothesis that there is a significant difference or effect, opposed to the null hypothesis in statistical testing.

Inferential Statistics

A branch of statistics that allows for making predictions or inferences about a population based on a sample of data.