For the given hypothesis test, explain the meaning of a Type I error, a Type II error, or a correct decision as specified.

In the past, the mean running time for a certain type of flashlight battery has beenThe 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: = 8.5 hours

H_a: > 8.5 hours

Explain the meaning of a Type I error.

A) Concluding that > 8.5 hours when in fact > 8.5 hours

B) Concluding that = 8.5 hours when in fact > 8.5 hours

C)Concluding that > 8.5 hours when in fact = 8.5 hours

D) Concluding that < 8.5 hours when in fact > 8.5 hours