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

question 59

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. Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05. $\begin{array} { c c c } \text { Brand A } & \text { Brand B } & \text { Brand C } \\\hline n = 10 & n = 10 & n = 10 \\\bar { x } = 32.1 & \bar { x } = 32.6 & \bar { x } = 27.2 \\s ^ { 2 } = 4.37 & s ^ { 2 } = 3.61 & s ^ { 2 } = 3.34\end{array}$

---

Definitions:

Educated

Having received instruction or acquired knowledge and skills in particular subjects or fields, typically through formal schooling or self-study.

Hijab

A headscarf worn by many Muslim women who feel it is part of their religion, representing modesty, privacy, and morality.

Discriminated

Treated unfairly or prejudicially, often based on race, age, sex, nationality, or other characteristics, rather than individual merit.

Human Rights Commission

A national or international organized body that investigates, protects, and advocates for the rights of human beings.