6.4.10. Suppose a sample of size 1 is taken from the pdf fy(y) = (1/1)ey/^, y > 0, for the purpose of testing Ho:λ = 1 versus H₁: > 1 The null hypothesis will be rejected if y > 3.20. (a) Calculate the probability of committing a Type I error. (b) Calculate the probability of committing a Type II error when λ = 1. 4 (c) Draw a diagram that shows the α and ẞ calculated in parts (a) and (b) as areas.

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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6.4.10. Suppose a sample of size 1 is taken from the pdf
fy(y) = (1/1)ey/^, y > 0, for the purpose of testing
Ho:λ = 1
versus
H₁: > 1
The null hypothesis will be rejected if y > 3.20.
(a) Calculate the probability of committing a Type I error.
(b) Calculate the probability of committing a Type II
error when λ = 1.
4
(c) Draw a diagram that shows the α and ẞ calculated in
parts (a) and (b) as areas.
Transcribed Image Text:6.4.10. Suppose a sample of size 1 is taken from the pdf fy(y) = (1/1)ey/^, y > 0, for the purpose of testing Ho:λ = 1 versus H₁: > 1 The null hypothesis will be rejected if y > 3.20. (a) Calculate the probability of committing a Type I error. (b) Calculate the probability of committing a Type II error when λ = 1. 4 (c) Draw a diagram that shows the α and ẞ calculated in parts (a) and (b) as areas.
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