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

question 10

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.  Brand A  Brand B  Brand C  Brand D 1718212220182425212325272225262921262935293637\begin{array} { c c c c } \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}


Definitions:

Scientific Knowledge

Knowledge that is based on the scientific method and empirical evidence, subject to peer review and reproducibility.

Evidence-based Care

Healthcare practices based on the best available evidence, integrating clinical expertise and patient values.

Do No Harm

A principle in medical ethics that dictates healthcare providers should not cause injury or harm to their patients through negligence or malpractice.

Research Problem

The specific issue, contradiction, or gap in knowledge that a researcher aims to address, explore, or solve through their study.

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