urgent!! Thank you

(a) Let Y1, Y2,..., Ya be an independent and identically distributed random sample from normal distribution, N(u, o2) . Let Y = 1 61 (Y, + Yz + ...+ )61) and $2 = E ( Y, - Y). 60 i=1 (i) Determine the values of K and m, given that W= K(Y - H) has a t-distribution VS2 with m degrees of freedom. (2 marks) (ii) Using the value of K found in part (a)(i), find the value of w such that P(W > w) =0.05. (2 marks) (iii) Given D= a( Y - M)2 has an F distribution with b and c degrees of freedom. Determine the values of a, b, and c.