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

question 104

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. $$\begin{array} { c c c } \text { Brand A } & \text { Brand B } & \text { Brand C } \\\hline 32 & 27 & 22 \\34 & 24 & 25 \\37 & 33 & 32 \\33 & 30 & 22 \\36 & & 21 \\39 & &\end{array}$$

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Definitions:

Middle Term

In a syllogism, the term that appears in both premises but not in the conclusion, serving as a link between the major and minor terms.

Syllogism

A form of logical reasoning where a conclusion is drawn from two given or assumed propositions (premises).

Mammals

Warm-blooded vertebrate animals characterized by the presence of mammary glands which, in females, produce milk for feeding their young.

Major Premise

The first statement in a syllogism, containing the major term that is also in the conclusion.