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[X-1(X-X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Y - My| ≥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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b)
Let X₁, X2, ..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating
functions Mx, (t) = e³t+t² and My (t) = (¹2)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(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 functions Mx, (t) = e³t+t² and My (t) = (¹2)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(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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,