Test the Claim That the Samples Come from Populations with the Same

question 37

Essay

Test the claim that the samples come from populations with the same mean. Assume that the_
populations are normally distributed with the same variance. At the 0.025 significance level,
test the claim that the three brands have the same mean if the following sample results have
been obtained. $$\begin{array} { c c c } \text { Brand A } & \text { Brand B } & \text { Brand } \mathbf { C } \\\hline 32 & 27 & 22 \\34 & 24 & 25 \\37 & 33 & 32 \\33 & 30 & 22 \\36 & & 21 \\39 & &\end{array}$$

---

Definitions:

Plastic

A synthetic material made from a wide range of organic polymers that can be molded into shape while soft, and then set into a rigid or slightly elastic form.

Wood

The hard, fibrous structural tissue found in the stems and roots of trees and other woody plants.

Cost Function

A mathematical relationship that describes how the costs incurred by a firm vary with the level of output or activity.

Output

Refers to the quantity of products or services produced by a business, industry, or economy.