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2015.02 – Estatística II – 2ª Avaliação Parcial – Prova Presencial – Questões Subjetivas 25 a 30. Nome________________________________Matricula___________________Data_______________Hora______________ 25. Uma empresa especializada na fabricação de paraquedas afirma que o índice de falhas de seu principal paraquedas não é mais do que 1%. Você realiza um teste de hipótese para determinar se a afirmação da empresa é falsa. Quando ocorrerá um erro tipo I ou tipo II? Qual é mais sério? 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________ 26. Em um anúncio, uma pizzaria alega que o tempo de entrega é inferior a 30 minutos. Uma seleção aleatória de 19 tempos de entrega tem uma média de 28,5 minutos e um desvio-padrão amostral de 3,3 minutos. Teste a hipótese da pizzaria com um nível de significância de 5%. 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________ 27. Considere os dados sobre uma pesquisa realizada com os orçamentos e os gastos brutos mundiais de 25 filmes mais caros da Century Fox apresentou um coeficiente de correlação como sendo r~0,83773. Teste a significância dessa correlação. Use . 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________ 28. (CESPE/UnB- adaptada) A tabela e as estatísticas mostradas acima correspondem ao estudo realizado por um engenheiro acerca da resistência Y (em kg) à tração de 6 fios de determinado material, considerando-se os respectivos diâmetros X (em 0,1 mm). Mostre através de um diagrama de dispersão se os dados abaixo apresentam ou não uma correlação entre as variáveis, justificando sua resposta, apresentando os cálculos do coeficiente de correlação: 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________29. Um engenheiro de segurança registra a distância de frenagem de dois tipos de pneus. Cada amostra selecionada aleatoriamente tem 35 pneus. Os resultados dos testes são mostrados na figura. Em =0,10 , o engenheiro pode apoiar a afirmação de que a distância de frenagem média é diferente para os dois tipos de pneus? 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________ 30. A Zogby Internacional declara que 45% das pessoas nos Estados Unidos são a favor de tornar a venda de cigarro ilegal dentro dos próximos 10 anos. Você decide testar essa afirmação e entrevista uma amostra de 200 pessoas, dentre as quais, 49% são a favor da lei. Com , há evidência o bastante para apoiar a afirmação? 01_______________________________________________________________________________________________________ 02_______________________________________________________________________________________________________ 03_______________________________________________________________________________________________________ 04_______________________________________________________________________________________________________ 05_______________________________________________________________________________________________________ 06_______________________________________________________________________________________________________ 07_______________________________________________________________________________________________________ 08_______________________________________________________________________________________________________ 09_______________________________________________________________________________________________________ 10_______________________________________________________________________________________________________ 11_______________________________________________________________________________________________________ 12_______________________________________________________________________________________________________ 13_______________________________________________________________________________________________________ 14_______________________________________________________________________________________________________ 15_______________________________________________________________________________________________________ QUESTÃO C (certa) D (meio certa) E (errada) 25 26 27 28 29 30 �
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