Two Independent Random Samples of 25 Observations Each Are Drawn

question 9

Short Answer

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.

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