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A Technician Is Interested in Comparing the Time It Takes α=0.05\alpha = 0.05

question 8

Essay

A technician is interested in comparing the time it takes to assemble a certain computer component using three different machines. Workers are randomly selected and randomly assigned to one of the machines. The assembly times (in minutes) are shown in the table.
Use the Kruskal-Wallis H-test to test whether the distributions of assembly times differ for the three different machines. Be sure to specify the null and alternative hypotheses. Use α=0.05\alpha = 0.05  Machine 1  Machine 2  Machine 3 384634373531384435363937394136373833384243\begin{array} { c | c | c } \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } \\\hline 38 & 46 & 34 \\37 & 35 & 31 \\38 & 44 & 35 \\36 & 39 & 37 \\39 & 41 & 36 \\37 & 38 & 33 \\38 & 42 & 43\end{array}

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Definitions:

Previous Owners

The individuals who owned an item or property before the current holder.

Likelihood of Outcome

The probability or chance that a specific outcome will occur out of a set of possible outcomes.

Personal Estimate

An individual's judgment or assessment of something, often based on personal experiences or perceptions.

Representativeness Heuristic

A cognitive bias in which an individual categorizes a situation based on how similar it is to a typical case from one's experiences, potentially leading to errors in judgment.

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