Exercicios_01.pdf - UFRGS Graduao em Estatstica Disciplina...

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U F R G S - G r a d u a ç ã o e m E s t a t í s t i c a D i s c i p l i n a : M a t 2 2 8 2 – A n á l i s e E s t a t . N ã o P a r a m é t r i c a Lista de exercícios 01: Conceitos básicos sobre testes de hipóteses Prof. Lorí Viali, Dr. [email protected] - Porto Alegre, agosto de 2009 01. Pretende-se lançar uma moeda 5 vezes e rejeitar a hipótese de que a moeda é não-tendenciosa, isto é, pretende-se rejeitar Ho: π = 0,50, se em 5 (cinco) jogadas ocorrerem 5 coroas ou 5 caras. Qual é a probabilidade de se cometer erro do tipo I? 02. (Bussab, pg. 249) Se, ao lançarmos 3 vezes uma moeda, supostamente equilibrada, aparecerem 3 caras decide-se rejeitar a hipótese de que a moeda é “honesta”, qual a probabilidade de se cometer erro do tipo I? Se a moeda favorece cara em 80% das vezes, qual a probabilidade de se cometer erro do tipo II? 03. Nas faces de dois tetraedros regulares, aparentemente idênticos, estão marcados os valores: 0, 1, 2 e 3. Ao
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