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i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B.

i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B.

Calculus For The Life Sciences
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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c) Let Y₁, Y₂Y₁ be a random sample whose probability density function is given by = { vare 7, 0, f(y;B) = 684 0<y<∞o and ß>0 elsewhere and suppose that n = 200, y = 20, y = 100, 200 i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. y = 250 and $ = 0.025.
Transcribed Image Text:c) Let Y₁, Y₂Y₁ be a random sample whose probability density function is given by = { vare 7, 0, f(y;B) = 684 0<y<∞o and ß>0 elsewhere and suppose that n = 200, y = 20, y = 100, 200 i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. y = 250 and $ = 0.025.
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