Homework answers / question archive / (19) (10 points) under this alternative hypothesis, S, converges in distribution to N(b(6,0), 1) as n—00, where D(@, o) is a function of 8 and o

(19) (10 points) under this alternative hypothesis, S, converges in distribution to N(b(6,0), 1) as n—00, where D(@, o) is a function of 8 and o

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(19) (10 points) under this alternative hypothesis, S, converges in distribution to

N(b(6,0), 1) as n—00, where D(@, o) is a function of 8 and o. What is the form of b(6@,c) ?

(A) 284) (B) 2007, (C) loge? + logo”, (D) = f(0). (E) 26 log f(0),

=(F) 26 f(0), (G) (5. (H) 2 log 1) | (1) I) | (J) (A) — (Dare all not correct,

0 f(@) f(o)

Where f{.) is the probability density function of X;.

(20) (10 points) which test is thought to be more powerful in a certain sense, under what condition? (Corresponding test statistic, Condition) =

(A) (Tn, o>f(0)),  (B) (Sn, 20 f(0) >1), (C)(n, 26 f(0)>1), (D) (Sn, f(0)? > 0)

(E) (Sn, 07 1/a), (G) (Sn, 2 log a < f (0)),

(H) (Th, log f(@) >), (1) (Sn, log f(a) >1/o), (J) (A) — (I) are all not correct, where f (.) is the probability density function of Xi.