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Mathematics, 30.03.2020 18:42 SavageKidKobe
The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer to determine whether the mean level of the chemical in these tomatoes exceeds the recommended limit. The hypotheses are H0: μ ≤ 0.4 ppm Ha: μ > 0.4 ppm where μ is the mean level of the chemical in tomatoes from this producer. Explain the meaning of a Type I error. A Type I error would occur if, in fact, μ > 0.4 ppm, but the results of the sampling fail to lead to that conclusion. A Type I error would occur if, in fact, μ ≤ 0.4 ppm, but the results of the sampling lead to the conclusion that μ > 0.4 ppm A Type I error would occur if, in fact, μ ≤ 0.4 ppm, but the results of the sampling fail to lead to rejection of that fact. A Type I error would occur if, in fact, μ > 0.4 ppm, and the results of the sampling lead to rejection of the null hypothesis that μ ≤ 0.4 ppm.
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