7. Let (r1, 12, ., T„) be a random sample from a normal distribution with mean u and a variance o?. Also let SE (r;-) be the sum of squares of the random sample. %3D State without proof the sampling distribution of the following; (a) t(x) = ao + b;a;, i = 0,1, ., n, a, are positive real constants. i=1 n(ī – µ)² (x – 4) (b) +(т) %— (f) t(x) = (c) t(x)= %3D (r – u) Σε- (g) t(x) = Σ- i=1 (c) t(r) = i=1 (d) t(r) = i=1 %3D E (*; – im-n)² j=1 i=m+1 (h) t(r) = m - 1 n - m - 1 (r – H) (e) t(r) = %3|

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7. Let (r1, 12 ., T„) be a random sample from a normal distribution with mean u and a
variance o?. Also let S
(x; - )² be the sum of squares of the random sample.
%3D
State without proof the sampling distribution of the following;
(a) t(x) = ao + b;a;, i = 0,1, .., n, a, are positive real constants.
i=l
n(ī – µ)²
(x – 4)
(b) t(r) =
g2
(f) t(x) =
(c) t(x) =
(x – 4)
(g) t(x) =
i=1
(c) t(x)=
i=1
i=1
(d) t(r) =
E (*; – äm-n)²
%3D
j=1
i=m+1
(h) t(x) =
m - 1
n - m - 1
(x – 4)
(e) t(r) =
Transcribed Image Text:7. Let (r1, 12 ., T„) be a random sample from a normal distribution with mean u and a variance o?. Also let S (x; - )² be the sum of squares of the random sample. %3D State without proof the sampling distribution of the following; (a) t(x) = ao + b;a;, i = 0,1, .., n, a, are positive real constants. i=l n(ī – µ)² (x – 4) (b) t(r) = g2 (f) t(x) = (c) t(x) = (x – 4) (g) t(x) = i=1 (c) t(x)= i=1 i=1 (d) t(r) = E (*; – äm-n)² %3D j=1 i=m+1 (h) t(x) = m - 1 n - m - 1 (x – 4) (e) t(r) =
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