Suppose X and Y are two random variables.
And I have some samples of them:
[9, 10, 11, 9, 10, 8, 10] and [100, 99, 101, 110, 120].
I want to test if Y is statistically larger than 10*X,
Question:
Can I use t-test and assume H0: 10*X ≤ Y with alpha=0.05?
I am asking because I have never seen any case that applies 10* before a random variable. All examples tell me I can use H0: X ≤ Y instead of 10*X ≤ Y
Thanks.