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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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