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Type 1 and Type 2 Error

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A significance test is used to prevent a machine from under filling or overfilling quart bottles. On the basis of a sample, the null hypothesis is rejected and the machine is shut down for inspection.

A thorough examination reveals there is nothing wrong with the filling machine.

From a statistical standpoint, was there a "type" error made? If yes, which type? Explain.

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Solution Summary

The solution defines type I and type II errors and determines what type of error (if any) was made when testing the filling machine in the example.

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There are two types of errors in statistics. A type I error (an alpha error) is a false positive. You make this kind of error ...

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