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b) Let X to be a random sample from a distribution with a probability density function given by (ex-1,if 0 i) Find the level of significance of the test, a. ii) Calculate the power of the test.

b) Let X to be a random sample from a distribution with a probability density function given by (ex-1,if 0 i) Find the level of significance of the test, a. ii) Calculate the power of the test.

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
Section13.1: Continuous Probability Models
Problem 27E
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b) Let X to be a random sample from a distribution with a probability density function given by (0x-1,if 0<x< 1, 0 € [1,2], elsewhere f(x: 0) = (0x0-1, if It is desired to test a null hypothesis H₁:0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects Ho if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
Transcribed Image Text:b) Let X to be a random sample from a distribution with a probability density function given by (0x-1,if 0<x< 1, 0 € [1,2], elsewhere f(x: 0) = (0x0-1, if It is desired to test a null hypothesis H₁:0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects Ho if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
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