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:

Bureau of Labor Statistics

A federal agency that provides critical economic data, including unemployment rates, job growth, and wage trends to guide government policy and inform the public.

Current Population Survey

A monthly survey conducted by the Bureau of Labor Statistics to assess employment and unemployment levels in the United States.

Unemployment

The situation where individuals who are willing and able to work cannot find jobs.

Labor Market

A marketplace where employers find workers and workers find jobs, characterized by supply and demand for labor.