Suppose you take independent random samples from populations with means µi and µ2 and standard deviations ơ1 and o2. Furthermore, assume either that (i) both populations have normal distributions, or...

Extracted text: Suppose you take independent random samples from populations with means µi and µ2 and standard deviations ơ1 and o2. 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, then (81-X2)-(41-42) how does the quantity behave? Give the n1 n2 name of the distribution and any parameters needed to describe it.