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[Σ²²=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?

MATLAB: An Introduction with Applications
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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 Mx₁(t) = ³t+t² and My(t) = (₁-¹)²5, respectively.
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 - 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 Mx₁(t) = ³t+t² and My(t) = (₁-¹)²5, respectively. 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 - µy| ≥10) < 0.04?
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