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 $\left( \mu _ { 1 } - \mu _ { 2 } \right)$.

Question

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 $\left( \mu _ { 1 } - \mu _ { 2 } \right)$.

Quizplus · Accepted Answer

The Answer of 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 $\left( \mu _ { 1 } - \mu _ { 2 } \right)$.

Independent Random Samples Selected from Two Normal Populations Produced the Following