Let X₁, X2, ..., X and Y₁, Y2, ..., Ym be random samples from populations with moment gener 25 functions Mx, (t) = e³t+t² and My (t) = (²5, 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[1(Xi - X)² > 68.3392] = 0.025? iii) What is the value of the sample size m it D(18 -10) <0.012 -

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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b)
Let X₁, X₂,..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating
25
(₁1²5, respectively.
functions Mx, (t) =
e3t+t² and My, (t)
=
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[1(Xi - X)²> 68.3392] = 0.025?
iii) What is the value of the sample size m, if P(|Y - My ≥10) <0.04?
Transcribed Image Text:b) Let X₁, X₂,..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating 25 (₁1²5, respectively. functions Mx, (t) = e3t+t² and My, (t) = 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[1(Xi - X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y - My ≥10) <0.04?
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