I am doing a hypothesis test two see if two sets X and Y both containing 100 values are both part of a parent set, or are two unique sets.
So H0:X and Y are belong to the same parent set H1:They are from two different set
I decided to use a 5% significance level
To check this I used a statistical test using the difference in their means, and this result led me to reject H0. I then used a statistical test using the difference in their variance, and this result led me to accept H0.
Is there a statistical test I could you use that could detect a differnce in the mean and variances?