(Solved): 10. (5 pts) In the past, the mean lifetime of a certain type of radio battery has been \( 9.8 \) ho ...

10. (5 pts) In the past, the mean lifetime of a certain type of radio 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 lifetime has increased as a result. The hypotheses are: \( H_{0}: \mu=9.8 \) hours \( H_{A}: \mu>9.8 \) hours Which of the following explains Type I error in context. (a) Concluding that \( \mu=9.8 \) hours when in fact \( \mu>9.8 \) hours (b) Concluding that \( \mu=9.8 \) hours when in fact \( \mu<9.8 \) hours (c) Concluding that \( \mu<9.8 \) hours when in fact \( \mu>9.8 \) hours (d) Concluding that \( \mu>9.8 \) hours when in fact \( \mu>9.8 \) hours (e) Concluding that \( \mu>9.8 \) hours when in fact \( \mu=9.8 \) hours (f) None of the above.