Independent Random Samples Selected from Two Normal Populations Produced the Following

Essay

Independent random samples selected from two normal populations produced the following sample means and standard deviations.
$$\begin{array}{l}\begin{array} { l l } \text { Sample } 1 & \text { Sample 2 } \\n _ { 1 } = 14 & n _ { 2 } = 11 \\\overline { x _ { 1 } } = 7.1 & \bar { x } _ { 2 } = 8.4 \\s _ { 1 } = 2.3 & s _ { 2 } = 2.9\end{array}\\\text { Conduct the test } H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0 \text { against. } H _ { a } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0 \text {, Use } \alpha = .05 \text {. }\end{array}$$