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[Σ₁(X¡ − X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Ỹ - µyl ≥10) <0.04?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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b) Let X₁, X₂,..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating
25
functions Mx, (t) = 3t+t² and My, (t) = (¹²5, respectively.
i) 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 – µy| ≥ 10) < 0.04?
Transcribed Image Text:b) Let X₁, X₂,..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating 25 functions Mx, (t) = 3t+t² and My, (t) = (¹²5, respectively. i) 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 – µy| ≥ 10) < 0.04?
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