13) In the past, the mean running time for a certain type of flashlight battery

Question

13) In the past, the mean running time for a certain type of flashlight battery has been 8.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Ho : ?-8.0 hours Ha H>8.0 hours where u is the mean running time of the new batteries. Explain the meaning of a Type Il error A) A Type II error would occur if, in fact, -8.0 hours, but the results of the sampling lead to the B) A Type ll error would occur if, in fact,-80 hours, but the results of the sampling do not C) A Type ll error would occur if, in fact, ? > 80 hours, but the results of the sampling lead to the D) A Type ll error would occur if, in fact, H>8.0 hours, but the results of the sampling fail to conclusion that ? > 8.0 hours. lead to rejection of that fact. conclusion that ?

Explanation / Answer

Answer : D

A type 2 error occurs when we fail to reject a false null hypothesis (False Negative), hence in this case it means that a type 2 error would occurif , in fact mean > 8.0 hours , but the results of the sampling fail to lead to that conclusion

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