Let X11 X12X1 and X21, X22X22 be two independent random samples ofsize n, and n₂ from two normal populations N(₁, 2) and N(2, 2) respectively.(d) Derive a (1-a) x 100% confidence interval for (₁-2) when both samples aresmall but of and of are known.

Let be two independent random samples of size n1 and n2 from two normal populations respectively.

Answered: Let X₁1X12X1, and X21, X22X2 be two…

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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Q2: Let x1,X2, . , Xn and y1, y2, ..., Ym represent two independent random samples from the respective normal distributions N(H1,07) and N (H2, 03). It is given that of = 30, but ožis unknown. Then 1. A random variable that can be used to find a 95% confidence interval for - is (x- y) - (H1 - H2) А. ns3 + ms n+m. 3(n+m-2)"tm, nm O A (x – y) – (41 – H2) В. ns? + ms; n + m. (n + m – - 2) пт (x – y) – (41 - H2) С. ns3 + mS;_n+3 3(n+ m-2) ("+3m nm Ос
If the RVSX1, X2,..., X, all have n .2 the same variance s and he correlation oxil ficient between each pair (X;, X;), i # jof them is p, show that the correlation coefficient 2n between -1 X; and Li=n+1 X; is %3D1 пр 1+(n-1)p
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Let X₁1X12X1, and X21, X22X2 be two independent random samples of size n, and n₂ from two normal populations N(₁, 0) and N(2, 2) respectively. (d) Derive a (1-a) x 100% confidence interval for (₁-2) when both samples are small but of and of are known.