Kata

The initial code and sample tests are testing a completely different thing from the actual tests (callMe instead of doThrow). What is actually being tested here?

There should also be a RuntimeException provided as a test case; there are no reasons not to provide one.

I'd suggest:

1. Replacing void callMe() method with a more generic one, like

  static void uncheckedThrow(Throwable e) {
    // your solution here
  }

2. Getting rid of the second void doThrow(Exception e) method from sample code to make it a bit more puzzling.