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Test the Hypothesis That the Populations Have the Same Mean

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Test the hypothesis that the populations have the same mean. Use α= 0.05.  Brand 1  Brand 2  Brand 3 n1=8n2=8n3=8x1=3.0x2=2.6x3=2.6 s1=0.50 s2=0.60 s3=0.55\begin{array} { l l l } \hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 8 & \mathrm { n } _ { 3 } = 8 \\\overline { \mathrm { x } } 1 = 3.0 & \overline { \mathrm { x } } 2 = 2.6 & \overline { \mathrm { x } } 3 = 2.6 \\\mathrm {~s} _ { 1 } = 0.50 & \mathrm {~s} _ { 2 } = 0.60 & \mathrm {~s} 3 = 0.55 \\\hline\end{array}


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