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

question 71

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:

Routine Illnesses

Common or everyday sicknesses that are typically not serious and can be treated with standard medical care.

Income Inequality

The uneven distribution of income within a population, leading to a gap between the wealthiest and the poorest individuals or households.

Economic Homeless

Individuals or families who lack stable housing due to financial hardships, making them unable to afford regular and adequate shelter.

Mental Illness

A wide range of mental health conditions that affect mood, thinking, and behavior, potentially interfering with daily functioning.