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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Is this a t distribution since we don't know the standard deviation of the population? How does the quantity behave?

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.
Transcribed Image Text: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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