Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$. Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$.
$$\begin{array} { l l }
\mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \
\overline { \mathrm { x } } 1 = 8 & \overline { \mathrm { x } } 2 = 8.4 \
\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51
\end{array}$$

Question

Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$. Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$.
$$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \
\overline { \mathrm { x } } 1 = 8 & \overline { \mathrm { x } } 2 = 8.4 \
\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51
\end{array}$$

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The Answer of Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$. Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$.
$$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \
\overline { \mathrm { x } } 1 = 8 & \overline { \mathrm { x } } 2 = 8.4 \
\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51
\end{array}$$

Test Hypotheses Regarding the Difference of Two Independent Means -Test μ1≠μ2\mu _ { 1 } \neq \mu _ { 2 }μ1​=μ2​

Test Hypotheses Regarding the Difference of Two Independent Means
-Test $\mu _ { 1 } \neq \mu _ { 2 }$