Potential Errors When Performing Tests Practice Test

A manufacturer tests whether the mean lifetime of a battery is greater than 8 hours. They test $H_0: \mu=8$ vs. $H_a: \mu>8$ at $\alpha=0.05$. The test result is to reject $H_0$ and claim the mean lifetime exceeds 8 hours. In reality, the true mean lifetime is $\mu=8.6$ hours. Which type of error was made?

A hospital tests whether the mean waiting time in the emergency room is less than 30 minutes after adding staff. They test $H_0: \mu=30$ vs. $H_a: \mu<30$ at $\alpha=0.05$. They fail to reject $H_0$ and state there is not convincing evidence the mean waiting time is below 30 minutes. In reality, the true mean waiting time is $\mu=30$ minutes. Which type of error was made?