Perform the Indicated Kruskall-Wallis Test $\alpha = 0.05$

Essay

Perform the indicated Kruskall-Wallis test. Be sure to do the following: Identify the claim mathematically and state the
null and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail
to reject the null hypothesis and interpret the decision in the context of the original claim.
-A researcher wishes to compare times it takes workers to assemble a certain computer component using
different machines. Workers are randomly selected and randomly assigned to one of three different machines.
The time (in minutes)it takes each worker to assemble the component is recorded. Use the Kruskal-Wallis test
to test the claim that there is a difference in the distributions of the assembly times for the three machines. Use $\alpha = 0.05$ $$\begin{array} { c | c | c } \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } \\\hline 43 & 51 & 39 \\42 & 40 & 36 \\43 & 49 & 40 \\41 & 44 & 42 \\44 & 46 & 41 \\42 & 43 & 38 \\43 & 47 & 48\end{array}$$