Independent random samples of 100 observations each are chosen from two normal populations with the following means and standard deviations. Population 1 Population 2 $$\begin{array} { l l }
\text { Population 1 } & \text { Population 2 } \
\mu _ { 1 } = 15 & \mu _ { 2 } = 13 \
\sigma _ { 1 } = 3 & \sigma _ { 2 } = 2
\end{array}$$
Find the mean and standard deviation of the sampling distribution of $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$.

Question

Independent random samples of 100 observations each are chosen from two normal populations with the following means and standard deviations. Population 1 Population 2 $$\begin{array} { l l } 
\text { Population 1 } & \text { Population 2 } \
\mu _ { 1 } = 15 & \mu _ { 2 } = 13 \
\sigma _ { 1 } = 3 & \sigma _ { 2 } = 2
\end{array}$$
Find the mean and standard deviation of the sampling distribution of $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$.

Quizplus · Accepted Answer

The Answer of Independent random samples of 100 observations each are chosen from two normal populations with the following means and standard deviations. Population 1 Population 2 $$\begin{array} { l l } 
\text { Population 1 } & \text { Population 2 } \
\mu _ { 1 } = 15 & \mu _ { 2 } = 13 \
\sigma _ { 1 } = 3 & \sigma _ { 2 } = 2
\end{array}$$
Find the mean and standard deviation of the sampling distribution of $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$.

Independent Random Samples of 100 Observations Each Are Chosen from Two