If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two non-normally distributed populations, then the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , is: $\begin{array}{|l|l|}
\hline A&\text {always non-normal. }\
\hline B&\text {always normal. }\
\hline C&\text {approximately normal only if $ n_{1} $ and $ n_{2} $ are both larger than 30 . }\
\hline D&\text {approximately normal regardless of $ n_{1} $ and $ n_{2} $. }\
\hline
\end{array}$

Question

If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two non-normally distributed populations, then the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , is: $\begin{array}{|l|l|}
\hline  A&\text {always non-normal. }\
\hline  B&\text {always normal. }\
\hline  C&\text {approximately normal only if $ n_{1} $ and $ n_{2} $ are both larger than 30 . }\
\hline  D&\text {approximately normal regardless of $ n_{1} $ and $ n_{2} $. }\
\hline 
\end{array}$

Quizplus · Accepted Answer

The Answer of If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two non-normally distributed populations, then the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , is: $\begin{array}{|l|l|}
\hline  A&\text {always non-normal. }\
\hline  B&\text {always normal. }\
\hline  C&\text {approximately normal only if $ n_{1} $ and $ n_{2} $ are both larger than 30 . }\
\hline  D&\text {approximately normal regardless of $ n_{1} $ and $ n_{2} $. }\
\hline 
\end{array}$

If Two Random Samples of Sizes n1n _ { 1 }n1​

If Two Random Samples of Sizes $n _ { 1 }$