The result in exercise 7.58 holds even if the sample sizes differ. That is, if x₁, x₂,..., x_n₁ and y₁, y₂,..., y_n₂ constitute independent random samples from populations with means

a) ₁ ≠ ₂
b) ₁ = ₂
c) ₁ ≠ ₂
d) ₁ = ₂