The Engineering Department Claims the Average Battery Lifetime is 500 Minutes.

You wish to check whether the lifetime is different from 500 Minutes. What type of hypothesis test is it going to be?

This will be a two-tailed test. The alternate hypothesis (H1) will not show a specific direction (µ ≠ 500). If the alternate hypothesis shows a specific direction (like > or < ), then the test is one-tailed.