The Environmental Protection Agency (EPA) has determined that safe drinking water should contain at most 1.3 mg/liter of copper, on average. A water supply company is testing water from a new source and collects water in small bottles at each of 30 randomly selected locations. The company performs a test at the a = 0.05 level of Но : и 3D 1.3 На : и> 1.3 where u is the true mean copper content of the water from the new source. Which type of error is more serious in this case? Justify your answer. A Type II error would be worse because the water would not be safe for drinking, but it would seem that it is safe. A Type I error would be more serious because this would mean that some of the water has low levels of copper and some has high levels of copper. A Type I error would be more serious because this would mean that some good water is thrown out with the bad water. A Type II error would be more serious because this would mean that the water with more copper would be discovered

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The Environmental Protection Agency (EPA) has determined that safe drinking water should contain at most 1.3 mg/liter of
copper, on average. A water supply company is testing water from a new source and collects water in small bottles at each of 30
randomly selected locations. The company performs a test at the a = 0.05 level of
Но : и 3D 1.3
На : и > 1.3
a
where u is the true mean copper content of the water from the new source.
Which type of error is more serious in this case? Justify your answer.
O A Type II error would be worse because the water would not be safe for drinking, but it would seem that it is safe.
A Type I error would be more serious because this would mean that some of the water has low levels of copper and
some has high levels of copper.
O A Type I error would be more serious because this would mean that some good water is thrown out with the bad water.
A Type II error would be more serious because this would mean that the water with more copper would be discovered
Transcribed Image Text:The Environmental Protection Agency (EPA) has determined that safe drinking water should contain at most 1.3 mg/liter of copper, on average. A water supply company is testing water from a new source and collects water in small bottles at each of 30 randomly selected locations. The company performs a test at the a = 0.05 level of Но : и 3D 1.3 На : и > 1.3 a where u is the true mean copper content of the water from the new source. Which type of error is more serious in this case? Justify your answer. O A Type II error would be worse because the water would not be safe for drinking, but it would seem that it is safe. A Type I error would be more serious because this would mean that some of the water has low levels of copper and some has high levels of copper. O A Type I error would be more serious because this would mean that some good water is thrown out with the bad water. A Type II error would be more serious because this would mean that the water with more copper would be discovered
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