MULTIPLE CHOICE According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2 .A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho: mu >= 8.9 kg vs Ha: mu < 8.9 kg where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline. Which of the following would be a Type II error in this setting?   A. The mean amount of CO2 emitted by the new fuel is actually at least 8.9 kg and they conclude it is lower than 8.9 kg. B. The mean amount of CO2} emitted by the new fuel is actually lower than 8.9 kg and they fail to conclude that it is lower than 8.9 kg. C. The mean amount of CO2 emitted by the new fuel is actually at least 8.9 kg, and they fail to conclude that it is lower than 8.9 kg. D. The mean amount of CO2 emitted by the new fuel is actually lower than 8.9 kg and they conclude that it is lower than 8.9 kg.

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STATISTICS AND PROBABILITY

MULTIPLE CHOICE

According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2 .A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho: mu >= 8.9 kg vs Ha: mu < 8.9 kg where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline. Which of the following would be a Type II error in this setting?

 

A. The mean amount of CO2 emitted by the new fuel is actually at least 8.9 kg and they conclude it is lower than 8.9 kg.

B. The mean amount of CO2} emitted by the new fuel is actually lower than 8.9 kg and they fail to conclude that it is lower than 8.9 kg.

C. The mean amount of CO2 emitted by the new fuel is actually at least 8.9 kg, and they fail to conclude that it is lower than 8.9 kg.

D. The mean amount of CO2 emitted by the new fuel is actually lower than 8.9 kg and they conclude that it is lower than 8.9 kg.

 

 

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