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

question 27

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 four brands have the same mean if the following sample results have been obtained.
$\begin{array}{cccc}\text { Brand A } & \text { Brand B } & \text { Brand C } & \text { Brand D } \\\hline 17 & 18 & 21 & 22 \\20 & 18 & 24 & 25 \\21 & 23 & 25 & 27 \\22 & 25 & 26 & 29 \\21 & 26 & 29 & 35 \\& & 29 & 36 \\& & & 37\end{array}$

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Definitions:

Brutality

Savage physical violence; great cruelty or a brutal act that demonstrates a lack of humanity or consideration.

Economic Enrichment

An increase in wealth or resources in an economy, leading to better quality of life and economic development.

Modernization Theory

A theory in sociology that argues that societies progress linearly from traditional to modern states, emphasizing the role of technology, economic development, and rational social institutions.

Economic Underdevelopment

A condition characterized by low industrialization, poor infrastructure, and a low standard of living within a country or region.