글쓴이: bowen (Rufus)
날 짜: Mon Jun 16 11:20:16 1997
제 목: Re: 마지막 숙제 답안입니다.
8.
Test statistic : \var{x}
critical region: C = { x : x > x0} for some x0
alpha = P( \var{x} > x0 ; mu = 100)
= P( (\var{x} - 100 ) / ( 6.7/\root{15}) >
(\var{x0} - 100 )/ (6.7 / \root{15}) ; mu = 100)
= 0.10
therefore
(\var{x0} - 100 ) / (6.7 / \root{15}) = 1.28
x0 = 102.2
critical region C = { x; x > 102.2}
betha(105) = P ( z < (102.2 - 105) / (6.7/\root{15})) = Phi(-16.1) ~ 0.0537
betha(110) = P ( " " 110 " ) = Phi(-4.51) ~ 0
betha(115) = P ( " " 115 " ) = Phi(-7.40) ~ 0
