Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150-F, there will be no negative effects on the river’s ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150-F, researchers will take 50 water samples at randomly selected times and record the temperature of each sample. The resulting data will be used to test the hypotheses H0: µ = 150-F versus Ha: µ > 150-F. In the context of this example, describe Type I and Type II errors. Which type of error would you consider more serious? Explain.
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