Independent Random Samples of 100 Observations Each Are Chosen from Two

question 88

Essay

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

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