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CSIR NET Mathematics 2023 | Sampling distribution | 23 September 2023

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Question 1

Let  and  are i.i.d  and the distribution of

Is

Question 2

Let  and  are i.i.d . Then which of the following has a t – distribution with 3 degrees of freedom?

Question 3

Let  and  are i.i.d . Then which of the following has an F – distribution with (2, 3) degrees of freedom?

Question 4

If  represent F- statistic with  degrees of freedom and given that

 and then the value of c if  is

Question 5

If X has a t – distribution with n degrees of freedom then the distribution of  is
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Sep 23CSIR NET & SET