Match List-I (Variable) with List-II (Distribution):
(A) Sum of squares of n independent standard normal variates
(B) Ratio of a standard normal variate to the square root of an independent chi-square variable divided by its df
(C) Ratio of two independent chi-square variables each divided by their respective df
(D) A normal variate minus its mean, divided by its standard deviation.
List II
(I) t distribution
(II) F distribution
(III) Standard normal distribution
(IV) chi square distribution.
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Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.
What this question tests
This question is on Chi-square, t and F distributions, part of Sampling distributions and limit theorems in Statistics.
The distributions that arise from normal samples and the degrees of freedom they carry.
TestStop has 4 past-paper questions on this subtopic.
Question from the UGC-NET 2023 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.
