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

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 $\alpha = 0.05$ $$\begin{array} { c | c | c } \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } \\\hline 38 & 46 & 34 \\37 & 35 & 31 \\38 & 44 & 35 \\36 & 39 & 37 \\39 & 41 & 36 \\37 & 38 & 33 \\38 & 42 & 43\end{array}$$