I have a small dataset, sample size of n = 25. These samples form a distribution that looks normally distributed, let's call this distribution Y. I also have a different sample let's call this sample x. Now I want to find out if x is significantly different from Y.
I want to find out if x comes from the same distribution as my other samples. I was thinking of using the t-test for this. Is this a reasonable assumption?
Example:
Y = [1000, 1100, 900, 1050, 920, 1200]
x = [300]
Q: Is x from the same distribution as Y?