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Consequences of Type I and Type II Errors

You are a water quality tester, working for the EPA. You are testing the water in a stream just below the point where a major manufacturing company runs water from its plant into the stream. In particular, you are testing for the presence of a pollutant that is supposed to be held at a mean level of 10 ppm. You test the following hypotheses.

H0: µ (less than or equal to) 10
Ha: µ > 10

Describe the consequences of each of the types of errors in a sentence or two below. What are the ramifications from public health, economic or quality of life point of views?

Solution Preview

Type I: A Type I error is committed when a true null hypothesis is rejected. Therefore, we would be coming up with a decision that the mean level of pollutant is greater than 10 ppm, when in fact it is less than 10 ppm. This will create an unnecessary scare ...

Solution Summary

This solution provides a description of the consequences of type I or type II errors.

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