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) = (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[1(X-X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y-µ| ≥10) < 0.04?
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) = (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[1(X-X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y-µ| ≥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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