中央極限定理 | 中央極限定理例題
wz(CentralLimitTheorem)OvzפβέpǤ̭nB`ΪG@ChǪ̦ӨAoO@ӤeAѪHCFǪ̤eAѤδxwzAo̱NǥѺʦ{AǪ̱qʪ礤zѤwzC kwz(CasellaandBerger,1990,p.216)ɤ]٬`AĩwzADnOqƬ AзǮt 餤AHajp W˥ C˥ ܤjɡA˥ AHзǮt AN|ͪƬ0AзǮt1`AG(normaldistribution)CΪ̬O˥ ܤjɡA˥M AHзǮt AN|ͪƬ0AзǮt1`AGAYA AҥH ϧάݰ_ӱN|ܹ`AGΡCbAppletANHY lIƩM ӼwzͪCb@몺pUA iHݰäGAvK AȬ AܲƬ AҥH Ȭ AܲƬA] jɡAAY N|ͪ C SʤboAppletAǥѼYlұo쪺IƩM |ͪ`AGAĭzwzC@몺ӨA˥ jɡA|ͪ C] eϩұo쪺G|H [jӶVͪ`AGΡCbAppletN| ҷ|ͪ`AGGueXӡAΨӸҵeXӪ`Aϧ@CѹLhΤmiHDAunYlƤj30ӡAұoϧαNP`AGD`۪Cӳoӵ{Ұ]TPoӵۧkXC dѵ{檺Gi...
wz (Central Limit Theorem) OvzפβέpǤ̭nB`ΪG@ChǪ̦ӨAoO@ӤeAѪHCFǪ̤eAѤδxwzAo̱NǥѺʦ{AǪ̱qʪ礤zѤwzC k wz (Casella and Berger, 1990, p.216) ɤ]٬`AĩwzADnOqƬ AзǮt 餤AHajp W˥ C˥ ܤjɡA˥ AHзǮt AN|ͪƬ0AзǮt1 `AG(normal distribution)CΪ̬O˥ ܤjɡA˥M AHзǮt AN|ͪƬ0AзǮt1 `AGAYA A
ҥH ϧάݰ_ӱN|ܹ`AGΡC
b Applet ANHY lIƩM ӼwzͪCb@몺pUA iHݰäGAvK AȬ AܲƬ AҥH Ȭ AܲƬA] jɡAAY N|ͪ C
Sʤ bo Applet AǥѼYlұo쪺IƩM |ͪ`AGAĭzwzC@몺ӨA˥ jɡA |ͪ C] eϩұo쪺G|H [jӶVͪ`AGΡC
b Applet N| ҷ|ͪ`AGGueXӡAΨӸҵeXӪ`Aϧ@C
ѹLhΤmiHDAunYlƤj30ӡAұoϧαNP`AGD`۪Cӳoӵ{Ұ]TPoӵۧkXC
d ѵ{檺GiHݥXAҧYlӼ 1ɡAp(ϤE) 禸Ƭ 10000AھIƩM ҵeXӪϬݰ_ӤΡAӬOäGϧΡAoO] ӴNOäGC@ҧYl 2ɡAp(ϤQ) 禸Ƭ 10000Aұo쪺Ϧ@IΡC
30 ɡAp (ϤQ@ (ϤQG) 禸ƦU10000100000Aѩұo쪺ϧΥiHo{A϶VӶVΥBP`AGvKרƹ϶VӶVkXC
@
(ϤE) (ϤQ)
@
(ϤQ@) (ϤQG)
ާ@ ϥΪ̦bϥγoӵ{ɡAݥJ@ұYl (w]6)BCoͪv (w]l1:1:1:1:1:1)BYlӼ (w]30)AHι禸 (w]10000)CbJTwANiHݨ⪺ Ϥζ¦⪺ `AGvKרƦuϡAMǥѪϻPuϪiHDXӪGP`AGkX{סC