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

Question

Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } < \mu 2$. Two samples are randomly selected from normal populations. The sample statistics are given below.
$$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \
\overline { \mathrm { x } } 1 = 25.57 & \overline { \mathrm { x } } 2 = 28.12 \
\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8
\end{array}$$

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The Answer of Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } < \mu 2$. Two samples are randomly selected from normal populations. The sample statistics are given below.
$$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \
\overline { \mathrm { x } } 1 = 25.57 & \overline { \mathrm { x } } 2 = 28.12 \
\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8
\end{array}$$

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

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