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

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

---

Definitions:

Pure Monopoly

A market structure where a single firm is the sole provider of a product or service, without close substitutes, giving it significant control over pricing.

Industry Structures

The characteristics that define the competitive environment of a market, including the number and size of competitors, product differentiation, and ease of market entry.

Economic Profit

Total revenues minus explicit and implicit costs, representing the return on investment beyond the normal expected return.

Normal Profit

The level of profit that is necessary for a company to remain competitive in the market, often seen as the minimum acceptable return.