Suppose you take independent random samples from populations with means µi and pe. Furthermore, assume either that (i) both populations have normal distributions, or (ii) the sample sizes (ni and n2) are large. If X1 and X2 are the random sample means, and S1 and S2 are the random sample standard deviations, then how does the quantity (81-X5)-(H1-42) n1 n2 behave? Give the name of the distribution and any parameters needed to describe it.

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