The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of $n=60,$ find the probability of a sample mean being less than $25\mathrm{.}2$ if $=25$ and $=1\mathrm{.}19.$

Click the icon to view page $1$ of the standard normal table.

Click the icon to view page $2$ of the standard normal table.

For a sample of $n=60,$ the probability of a sample mean being less than $25\mathrm{.}2$ if $=25$ and $=1\mathrm{.}19$ is $($Round to four decimal places as needed.$)$

Would the given sample mean be considered unusual?

The sample mean be considered unusual because it has a probability that is than $5\%.$