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 + X₁ + X5. ii) What is the value of the sample size n, if PIX(X-X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y-upl≥ 10) <0.04?
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 + X₁ + X5. ii) What is the value of the sample size n, if PIX(X-X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y-upl≥ 10) <0.04?
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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