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2) Let X to be a random sample from a distribution with a probability density function given by (0x8-1 f (x;0) = {0x0-¹, if 0 < x < 1, 0 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. √√3 Suppose that the test rejects H₁ if x ≥ x i) Find the level of significance of the test, a (ii) Calculate the power of the test.

2) Let X to be a random sample from a distribution with a probability density function given by (0x8-1 f (x;0) = {0x0-¹, if 0 < x < 1, 0 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. √√3 Suppose that the test rejects H₁ if x ≥ x 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 28E
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2) Let X to be a random sample from a distribution with a probability density function given by (0x0-1, if 0<x< 1, 0 € {1,2}, f(x;0) elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. H Suppose that the test rejects H, if x ≥ ≥ V/³ Find the level of significance of the test... 1) (ii) Calculate the power of the test. b) A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances 21°C
Transcribed Image Text:2) Let X to be a random sample from a distribution with a probability density function given by (0x0-1, if 0<x< 1, 0 € {1,2}, f(x;0) elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. H Suppose that the test rejects H, if x ≥ ≥ V/³ Find the level of significance of the test... 1) (ii) Calculate the power of the test. b) A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances 21°C
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