Answer
The requirements are satisfied.
Work Step by Step
1 - It is a simple random sample
2 - The samples are independent
3 - The sample was obtained from populations normally distributed.
4 - The variances are about the same: $310025\lt2\times182988$
In MINITAB, enter the Political philosophy values in C1 and in C2 enter the Rich values.
Select Stat -> Basic Statistics -> Display Descriptive Statistics
In Variables enter Rich (C1). In By variables enter 'Political philosophy'.
Click in Statistics. Select standard deviation. Click OK.
Click Ok.