The Strength of a Weld Depends to Some Extent on the Metal

question 4

Essay

The strength of a weld depends to some extent on the metal alloy used in the welding process. A scientist working in the research laboratory of a major automobile manufacturer has developed three new alloys. In order to test their strengths, each alloy is used in several welds. The strengths of the welds are then measured, with the results shown below. Can the scientist conclude at the 5% significance level that differences exist among the strengths of the welds with the different alloys? $\quad$$\quad$$\quad$$\text { Strength of welds }$
$\begin{array} { | c | c | c | } \hline \text { Alloy 1 } & \text { Alloy 2 } & \text { Alloy 3 } \\\hline 15 & 17 & 25 \\\hline 23 & 21 & 27 \\\hline 16 & 19 & 24 \\\hline 29 & 25 & 31 \\\hline & 28 & 23 \\\hline & 19 & \\\hline\end{array}$

---

Definitions:

Equilibrium Price

The price at which the quantity of goods supplied is equal to the quantity of goods demanded in a market, resulting in no surplus or shortage.

Market Mechanism

Tendency in a free market for price to change until the market clears.

Federal Government

The national government of a federal state, which shares sovereignty with the constituent states or provinces and is typically responsible for national defense, foreign policy, and regulating inter-state commerce.

Equilibrium Price

The market price at which the quantity of a good demanded equals the quantity supplied, leading to market equilibrium.