b)Let X₁, X₂, ..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating25functions Mx, (t) = e³t+t² and My, (t) = (₁¹)²5, respectively.1i) Find the sampling distribution of the statistic W = X₁ + 2X₂ −X3 + X₁ + X5.ii) What is the value of the sample size n, if P[Σ₁(X¡ — X)² > 68.3392] = 0.025?iii) What is the value of the sample size m, if P(|Ỹ – µỹ| ≥ 10) < 0.04?

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Answered: i) Find the sampling distribution of…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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i) Find the sampling distribution of the statistic W = X₁ + 2X2 − X3 + X4 + X5. ii) What is the value of the sample size n, if P[Xï-₁(X; − X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Ỹ – µỹ| ≥ 10) < 0.04?