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Use the attached images (ratio likelihood statistic, critical region of likelihood ration test, Theorem 12.2) to test the null hypothesis that ? = 150 thousand miles against the alternative hypothesis ? < 150 thousand miles at the 0.01 level of significance for the following: the times to failure of a power train component in a certain car make and model are (in thousands of miles) 225, 459, 54, 180, 585, 558, 36, 342, 270, 378, 108, 396, 18, 252, 135, 18, 162, 297, 171, and 27. Consider these data to be a random sample from an exponential (?) population.

Use the attached images (ratio likelihood statistic, critical region of likelihood ration test, Theorem 12.2) to test the null hypothesis that ? = 150 thousand miles against the alternative hypothesis ? < 150 thousand miles at the 0.01 level of significance for the following: the times to failure of a power train component in a certain car make and model are (in thousands of miles) 225, 459, 54, 180, 585, 558, 36, 342, 270, 378, 108, 396, 18, 252, 135, 18, 162, 297, 171, and 27. Consider these data to be a random sample from an exponential (?) population.

MATLAB: An Introduction with Applications
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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Use the attached images (ratio likelihood statistic, critical region of likelihood ration test, Theorem 12.2) to test the null hypothesis that ? = 150 thousand miles against the alternative hypothesis ? < 150 thousand miles at the
0.01 level of significance for the following: the times to failure of a power train component in a certain car
make and model are (in thousands of miles) 225, 459, 54, 180, 585, 558, 36, 342, 270, 378, 108, 396, 18, 252,
135, 18, 162, 297, 171, and 27. Consider these data to be a random sample from an exponential (?)
population. 

Ratio likelihood statistic X - ()*++*²* e +12 Critical region of likelihood ration test (i)e-(+) ≤K
Transcribed Image Text:Ratio likelihood statistic X - ()*++*²* e +12 Critical region of likelihood ration test (i)e-(+) ≤K
THEOREM 12.2.* For large n, the distribution of -2. In A approaches, under very general conditions, the chi-square distribution with 1 degree of freedom.
Transcribed Image Text:THEOREM 12.2.* For large n, the distribution of -2. In A approaches, under very general conditions, the chi-square distribution with 1 degree of freedom.
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