Question: Proving Student's Theorem (im kinda confused this is different from t-distribution right?) a) X~N(u,sigma^2/n) b) Xbar is independent of S^2 C) ((n-1)s^2/sigma^2)~Chi-square(n-1) d) T= (X-u/

Proving Student's Theorem (im kinda confused this is different from t-distribution right?)

a) X~N(u,sigma^2/n)

b) Xbar is independent of S^2

C) ((n-1)s^2/sigma^2)~Chi-square(n-1)

d) T= (X-u/ (s/sqrt(n)))~t(n-1)

how do you prove a,b,c,d?

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