if the observed value is greater than 9. (a) What is the probability of committing a Type I error? (b) What is the probability of committing a Type II error? (c) What is the power of the test? thoces that has
if the observed value is greater than 9. (a) What is the probability of committing a Type I error? (b) What is the probability of committing a Type II error? (c) What is the power of the test? thoces that has
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Consider a gamma-distributed random variable X with pdf f(x) = xe-/0/(02). A single
observation is used to test Ho: 0 = 3 against H₁: 0 = 6. The null hypothesis is rejected
if the observed value is greater than 9.
(a) What is the probability of committing a Type I error?
(b) What is the probability of committing a Type II error?
(c) What is the power of the test?
(d) Find a test (i.e. determine a critical region) of these hypotheses that has significance
level 0.05.
Show Transcribed Text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb24b3755-d34c-4197-af28-67320cd5d755%2Ffb0ce414-0312-424c-bd16-5cc0d4bccfc7%2Fxfcczo9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a gamma-distributed random variable X with pdf f(x) = xe-/0/(02). A single
observation is used to test Ho: 0 = 3 against H₁: 0 = 6. The null hypothesis is rejected
if the observed value is greater than 9.
(a) What is the probability of committing a Type I error?
(b) What is the probability of committing a Type II error?
(c) What is the power of the test?
(d) Find a test (i.e. determine a critical region) of these hypotheses that has significance
level 0.05.
Show Transcribed Text
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