Beyond Common Core
Problem 40 of 45s12-040
A juice plant tests : mean fill is 500 mL against : mean fill is under 500 mL. If it rejects , it shuts the line for repair. What is a Type II error here?
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Solution walkthrough1:40
- Two things could be true: (fill is 500 mL) or (under 500 mL). The test makes one of two decisions.
- Cross the truth with the decision to get four outcomes. Two are right decisions and two are errors.
- Type I error: reject a true . Here the line is shut down though the fill really is 500 mL. Its chance is .
- Type II error: fail to reject a false . Here the line keeps running though bottles really are underfilled.
- Traps: shutting a good line is Type I, not II; right decisions are not errors; is the Type I chance.