In the past, the mean lifetime for a certain type of flashlight battery has been

Question

In the past, the mean lifetime for a certain type of flashlight battery has been The manufacturer has introduced a change in the production method and wants to perform a significance test to determine whether the mean lifetime has increased as a result. The hypotheses are: H0: = 9.6 hours Ha: > 9.6 hours Suppose that the results of the sample lead to nonrejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean running time has increased.

Explanation / Answer

Fail to reject a false null hypothesis leads to Type II error. Here, researcher fails to reject null hypothesis (that is non rejection of null hypothesis), when it is not true (that is mean running time has increased), theresearcher commits Type II error.

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