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The ratio of the squares of two independent standard normal random variable

The ratio of the squares of two independent standard normal random variables 



1. The ratio of the squares of two independent standard normal random variables is
(i) An F- random variable with (1, 1) degree of freedom.
(ii) An F- random variable with (n, 1) degree of freedom.
(iii) An F- random variable with (1,n) degree of freedom.
(iv) None of these

2. If F follow F distribution with (m, n) degrees of freedom then, 1/F follows ,
(i) t- Distribution with m d.f. (ii) t- distribution with n d.f.
(iii) F- distribution with (n, m) d.f. (iv) None of these

3. If ( ) ~ n t t , then as n , t follows,
(i) F- distribution with (1,n) d.f. (ii) F- distribution with (n,1) d.f.
(iii) N(0,1) (iv) None of these

4. If (5) t ~ t , the value of ‘a’ such that, P(a t a) 0.98 is
(i) 3.365. (ii) 2.365. (iii) 1.365. (iv) None of these

5. Parameters are
(i) Function of sample values (ii) Function of population values
(iii) The averages taken from a sample
(iv) Function of either a sample or a population values




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21 May 2016

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  1. Genius

    The ratio of the squares of two independent standard normal random variables

    The ratio of the squares of two independent standard normal random variables ****** ******
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