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

MATLAB: An Introduction with Applications
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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) = e3t+t² and My, (t) =
, 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[Σ(X₁-X)² > 68.3392] = 0.025?
iii) What is the value of the sample size m, if P(|Y-µy ≥10) < 0.04?
Transcribed Image Text:J.UZ! b) Let X₁, X₂,..., X and Y₁, Y₂,, Ym be random samples from populations with moment generating 25 functions Mx, (t) = e3t+t² and My, (t) = , 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[Σ(X₁-X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y-µy ≥10) < 0.04?
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