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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Two Independent Random Samples of 25 Observations Each Are Drawn