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Independent Random Samples of 100 Observations Each Are Chosen from Two

question 100

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Independent random samples of 100 observations each are chosen from two normal populations with the following means and standard deviations.  Population 1  Population 2μ1=15μ2=13σ1=3σ2=2 Find the mean and standard deviation of the sampling distribution of (xˉ1xˉ2)\begin{array}{l}\begin{array} { l l } \text { Population 1 } & \text { Population } 2 \\\mu _ { 1 } = 15 & \mu _ { 2 } = 13 \\\sigma _ { 1 } = 3 & \sigma _ { 2 } = 2\end{array}\\\text { Find the mean and standard deviation of the sampling distribution of } \left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right) \text {. }\end{array}


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