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ʶԵԡѺ÷ͺGT200

ʴդѺ ѧҡ¹͡ѹ ѹ¨ͧӺ()˹¡ǡѹ


ҹ ͹ѹ˹觷Ѻʹҧҡͧͧµ͹礧ͧ ÷ͺԷҾػóǨþѴҧԴ Ⱦ ʾԴ (ա˹Ҩ蹷ͤè) ͧ˹ҤҶ֧ѡҹ


С÷ͺѴѹ 14Ҿѹ (ѹŹ䷹ѹɨչд) ͡º 觷ʹѺա ѡʶԵ Ӥѭͧ÷ͺ· СͺѺ¹ʶԵҵ˹ (ʶԵԸáԨ) ҡͧԵͧǺҷ¹ Ѻä鹤硹ºǡԹҡաԴ ҡҵͧչҷ餹ҹҹҡ˹


觷ҹ繵ͧҡ͹ҤԵʵ.¤Ѻ ҧͧҨ繹Դ˹ Թ ʶԵͧ ѡҡ͹֡ зҹҨֹش






Ҿҡhttp://www.andrew-drummond.com/tag/andrew-drummond/


˹ҵҢͧ GT200 ͹ҹҾ մѺ Ѻ ҡ ͼͧԹ(Ըա) ҡȨ(¼Ũҡçǧͧš) ԵҧѹЪѧѵصͧʧ ˹ʹѺ (觷Өҡʵԡ) ѧҨἧǧҧ ѹǧ ҹҧ繷 觼ԵҧöǨѵطкغ Ⱦ Դ ʾԴ ѹԧѹͧҡ еԸ鹵ͧҴ ҡ鹼Թͧ ͺࢵҨѵصͧʧ Т¨ٴ֧ѹ ҹͧ(Ǩоٴ) 仴١÷ͺա


÷ͺ١͡Ẻ԰ҹ ͧ GT200 ͧẺ ͷ件֧ӵͺ 繵ͧԸշҧʶԵҷͺ ¨зͺҡҧ ҧԧ件֧Ъҡ


駹 ҧԧѧЪҡùԴԴҴ ҧǹ٧¢ͧ(Ъҡäͤ·ء) 㹢зöѴǹ٧ͧء Ҩҧҫѡ1,000 (͵ҧͧ) Ҥ٧¢ͧҧ ǹ任ҳ٧¢ͧ 駹Ҩ͡繪ǧµͧкдѺŧ仴 ҡѴ٧¢ͧҧѹ170. ö͡Ҥ·ء٧ 170. ͡ ¤90% Ҥ٧¢ͧҧ 165-175.


͸ԺҷͨЪ ÷ͺ͡ʼԴҴ Ҩ֧ͧкдѺ蹢ͧŧ仴 ѹ 90% 95% 99%


֧ç ÷ͺԷҾҹͧͧGT200 ١͡Ẻ躹԰ҹ ͧӧҹẺ ҧ ҡԴ㹡ͧ1 ͧ աͧ¹͡͹ѹ(Դ)ա1ͧ ҡͧӧҹ¡ ԧ ͡ʷѹЪ١ 120.5 㹷ӹͧǡѹ Դ1ͧ Сͧ9ͧ ҡѹ ͡ʷѹЪ١1100.1 Ѻ÷ͺ駹 ˹Դ1ͧ Сͧա3ͧ Ҩ繷ѹЪ١140.25


ҧáա÷ͺ§ ͡ʷѹЪ١٧֧25% ӡѹ·仡͡÷ӫӹǹ÷ͧ(n)ҡ鹾ͷҧԧ Ѻ÷ͺ駹˹n=20Ҩдٹ Ǩ͸ԺҨӹǹ÷ͧ§20 ѹԧººѹͧ¡ѹШзͧ͸Ժµ觢 Թҡö֧÷ӢͺùẺ4͡ 20 (ҡҤسǷء ͡ʷسмҹ10ṹҡ)


ѺᨡᨧҨ㹡÷ͺ 繡ᨡᨧҨẺԹ(Binomial Probability Distribution) ѡᨡᨧẺ͹ ѡɳТͧѹ繡ᨡᨧԧẺͧ Ѿҡ÷ͧФ§2ҧҹ зҧԴѹ Դѹ ҧ ¹­͡§͡ҹ Թҷͪش ѡ¹¹͢Ҵ Դ


Ѻ÷ͺͧGT200 շҧ͡2ҧͪ١(͡14)Ъ١(͡34) յԧ(Ѿ)觡ͨӹǹ駷ͧöͧԴ١ͧҡ20 յ0(١) ١1 ١2 樹֧١ͧء駤20 觤Ҩ繷Ѿ͡繵ԧҧ(0-20)ᵡҧѹ 駹ᨡᨧҨ繢ͧԧ仵ᨡᨧẺԹ


ѧӡѹ .2 ѡ͡ monomial(Էٳ÷¡ѧn) ѡعpolynomial(͡澨ٻúǡ) Թbinomial;ع͡§2 ᨡᨧԹ͡ùӷԹ¡ѧn(ӹǹѺ)觨աᨡᨧ੾е¡ҧ ѧ2ó(perfect square) ѧ3ó 觨仵ɮպԹ ʤ ǹᨡᨧҨẺԹ p(Ҩ繷Ѿ) q(Ҩ繷Ѿ =1-p) Ҩ¹ (p+q)n=1 ¡áШ¾ҧ͡ᨡᨧẺԹͧ ٵҤҨѺԧ k


駹 ҨͧءԧҡѺ1






͹Ӥҵҧ(n=20,p=0.25,k=ԧ0֧20)᷹ٵâҧ Ҩ繢ͧԧҧѧ





ҡҧöҹҤҨ繷ͧGT200͡١ѡͧǨҡ20ͧ0.00317(0.317%) Ҩ繷ж١3ͧ0.06695 ѧࡵҼѾդҨ٧ش50.2023320%)ͧŧҤ40.1896919%) ǹѾ12繵͡Դҡ 觶ҡ16й¡1ҹ· ѧҡͧö͡١ҡ11ͧͨػͧԸ


ӤҤҨʴἹѧ






ͧ羺ѹ§ᨡᨧԷ ҧáҨ觡Ѻᨡᨧ ШзػŤҴ͹




Ңҧ鹹蹡͡͡Ẻ÷ͧ չҴ١÷ͺ԰ҹѹ ͡ҵͧGT200ӧҹẺ õ԰ҹͷͺѧ


1. Null Hypothesis (H0,԰ҹͧӡ÷ͺ) ͧӧҹẺ Ҩ㹡ͧ͡١<= 0.25


2. Alternative Hypothesis (H1,԰ҹ) ͧӧҹẺ Ҩ㹡ͧ͡١>0.25






繡÷ͺҹ 駹еͧ˹дѺ дѺ蹨繵ǡ˹ͺࢵûʸH0(Rejection Region) ҨоԨóҨҡҧᨡᨧҨẺҧ ҷѾ繡͡١7ͧ Ҩҳ 90% ͸Ժ ÷ͧ20 ҡͧ͡١¡ҡѺ7ͧ ҨѺ԰ҹ H0 Ѻͧӧҹ¡ ͡١8ͧ繵 ҨлʸH0ѺH1Ѻͧ GT200 ӧҹẺ 駹 еͧ躹дѺ 90% ҡѺҨ


㹷ӹͧǡѹԨóҷѾ͡١֧10ͧ Ҩҳ 99% ѧ ҡš÷ͺͧ͡͡١¡ҡѺ10ͧ ҨѺH0͡١11ͧ ҨѺH1 дѺ99%


Ѻš÷ͺ͡ҾͧGT200ͧ͡Դ١§ 4 ҡ÷ͧ20 ٴҤͧդͧʶԵԡöѺ(ͧͧ) ѹ͡ дԿ件֧˹ѹ


ҨػʶԵ礧 Ѻ H0дѺ99% ѡҹҧʶԵԷʴҤҨ㹡ͧ͡١ҡ0.25ҧչӤѭҧʶԵ (ͧGT200ӧҹ¡ ᵡҹѡ¹ӢͺաШк͡)


ҧá š㨷觢 (㹺ҹ)ͧ͡͹¾٨繡Ѻöӧҹ֧50% ...ֹش


ͺسźҧǹҡ


http://www.gt200.org/


http://en.wikipedia.org/wiki/Binomial_distribution







Create Date : 17 Ҿѹ 2553
Last Update : 17 Ҿѹ 2553 0:42:23 . 2 comments
Counter : 247 Pageviews.

 
ѡµ͹֡ ѹդ^^


: ѹ: 17 Ҿѹ 2553 :0:38:55 .  

 
ͧ GT 200


: peeshin ѹ: 17 Ҿѹ 2553 :19:49:37 .  

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