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

Question

In the past, the mean running time for a certain type of flashlight battery has been 9.8 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: H0 : µ = 9.8 hours Ha : µ > 9.8 hours Suppose that the results of the sampling lead to rejection 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 not increased.

Explanation / Answer

It is given that the mean running time has not increased. So null hypothesis is true.

But the sampling lead to rejection of the null hypothesis so reseacher reject the true null hypothesis.

That is type I has been made.

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