Mathematics
Mathematics, 25.05.2021 18:20, darkstorm2277

According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9\text{ kg}8.9 kg8, point, 9, start text, space, k, g, end text of \text{CO}_2CO 2 ​ start text, C, O, end text, start subscript, 2, end subscript. A fuel company wants to test a new type of gasoline designed to have lower \text{CO}_2CO 2 ​ start text, C, O, end text, start subscript, 2, end subscript emissions. Here are their hypotheses: \begin{aligned} H_0&: \mu =8.9 \text{ kg} \\ H_{\text{a}}&: \mu < 8.9 \text{ kg} \end{aligned} H 0 ​ H a ​ ​ :μ=8.9 kg :μ<8.9 kg ​ (where \muμmu is the mean amount of \text{CO}_2CO 2 ​ start text, C, O, end text, start subscript, 2, end subscript emitted by burning one gallon of this new gasoline). Under which of the following conditions would the company commit a Type I error?

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