Two Independent Random Samples of 25 Observations Each Are Drawn

Essay

Two independent random samples of 25 observations each are drawn from two normal populations. The parameters of these populations are: $$\begin{array} { | l | l | } \hline \text { Population 1: } & \mu = 150 , \sigma = 50 \\\hline \text { Population 2: } & \mu = 130 , \sigma = 45 \\\hline\end{array}$$ Find the probability that the mean of sample 1 will exceed the mean of sample 2.