ONLY PART 2 EXERCISE 5Suppose that X1,·, Xm and Y1, ., Yn are two samples, with X; -between the sample means, X – Ý, is then a linear combination of m +n normal random variables. All the randomvariables are independent. Answer the following questions:Ν(μ1, σι) and YN(u2, 02). The differencea. Use moment generating functions to show that Xvariance of this distribution.Y follows a normal distribution. Find the mean and-b. Suppose o = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µiwith probability 0.95.

X1,X2,...,Xm and Y1,Y2,...,Yn are two samples with Xi~ N(µ1 ,σ1) , Yi~ N(µ2 , σ2) All the random…

Answered: b. Suppose of = 2, o% = 2.5, and m = n.…

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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b. Suppose of = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µ1 – µ2 with probability 0.95.