Independent Random Samples Selected from Two Normal Populations Produced the Following

question 67

Essay

Independent random samples selected from two normal populations produced the following sample means and standard deviations. $\begin{array} { l l } \text {Sample 1}&\text {Sample 2}\\n _ { 1 } = 14 & n _ { 2 } = 11 \\\overline{x} _ { 1 } = 7.1 &\overline{ x} _ { 2 } = 8.4 \\s _ { 1 } = 2.3 & s _ { 2 } = 2.9\end{array}$
Find and interpret the $95 \%$ confidence interval for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ .

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