Q2: Let x1, X2, .., Xn and y1, y2, .. Ym represent two independent random samples from the respective normal distributions N (H,0) and N(H2,0ž). It is given that of = 30ž, but ažis unknown. Then

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Q2: Let x1,X2, ., Xn and y1, y2, ., Ym represent two independent random samples from the respective
normal distributions N(, o) and N(H2,0). It is given that of = 30, but ožis unknown. Then
2. The (1- a)% confidence interval of u - H2 is
§) – Rta. (*-
(x-y) + Rta
А.
ns + ms; n +m
3(n + m - 2)
where R =
nm
O A
B. (x- y) – Rta, (x- y) + Rta
nS + ms; n+
2)
(n + m
where R =
nm
С.
- ỹ) - Rta, (ĩ - ỹ) + Rta
ns} + m$? ,
3(n+ m -2)
n+3m
where R =
C
Transcribed Image Text:Q2: Let x1,X2, ., Xn and y1, y2, ., Ym represent two independent random samples from the respective normal distributions N(, o) and N(H2,0). It is given that of = 30, but ožis unknown. Then 2. The (1- a)% confidence interval of u - H2 is §) – Rta. (*- (x-y) + Rta А. ns + ms; n +m 3(n + m - 2) where R = nm O A B. (x- y) – Rta, (x- y) + Rta nS + ms; n+ 2) (n + m where R = nm С. - ỹ) - Rta, (ĩ - ỹ) + Rta ns} + m$? , 3(n+ m -2) n+3m where R = C
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