q07_sol - ISyE 2028A, Summer 2010 1. Let X 1 , , X m be a...

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ISyE 2028A, Summer 2010 Friday July 16 Quiz 7 Solutions 1. Let 1 ,, m XX  be a random sample from a normal distribution with variance 2 11 , let , , n YY σ be another random sample (independent of the ') i Xs from a normal distribution with variance 2 22 2 12 , and let and SS denote the two sample variances. Which of the following statement is not true? A. The random variable 22 22 11 22 (/) / FS S σσ = has an F distribution with parameters 1 and 1 mn νν = −= B. The random variables ( 1) / and ( / mS nS −− each have a t distribution with m -1 and n -1 degrees of freedom, respectively. C. The hypothesis : o H = is rejected if the ratio of the sample variances differs by too much from 1. D. In testing : versus : , oa HH = > the rejection region for a level , 1. 1 test is . fF α ANSWER: B 2. Let 1 20 be a random sample from a normal distribution with variance 2 1 1 25 , let , , be another random sample (independent of the i from a normal distribution with variance 2 2 , and let and denote the two sample variances.
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This note was uploaded on 09/02/2010 for the course ISYE 2028 taught by Professor Shim during the Summer '07 term at Georgia Institute of Technology.

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q07_sol - ISyE 2028A, Summer 2010 1. Let X 1 , , X m be a...

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