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We are given an observation of X and we must decide between two hypotheses: where, N has density fN(n) = Ho : X = N H₁: X = S₁ + N 2 · e-/²₂ - x

We are given an observation of X and we must decide between two hypotheses: where, N has density fN(n) = Ho : X = N H₁: X = S₁ + N 2 · e-/²₂ - x

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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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b. We are given an observation of X and we must decide between two hypotheses: where, N has density fN(n) = Ho: H₁ : X = N X = S₁ + N e-/¹², -∞ <n<∞ and S₁ = 7.00. i. Find a threshold T so that the probability of type I error is 0.001. ii. Using the T you found find the probability of type II error. iii. What is the power of this test?
Transcribed Image Text:b. We are given an observation of X and we must decide between two hypotheses: where, N has density fN(n) = Ho: H₁ : X = N X = S₁ + N e-/¹², -∞ <n<∞ and S₁ = 7.00. i. Find a threshold T so that the probability of type I error is 0.001. ii. Using the T you found find the probability of type II error. iii. What is the power of this test?
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