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

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