Is this what a synchronized method really is?

Question

Probably a very basic question but I'm still in doubt. Am I correct in assuming that

public synchronized void doSynchronized() {
        for (int i = 0; i < 10000; i++) {
            count++;
        }
    }

Is exactly the same as:

public void doSynchronized() {
        synchronized (this) {
            for (int i = 0; i < 10000; i++) {
                count++;
            }
        }
    }

???

Answer 1

Yes.

Everything else in this answer is just because it hast to be at least 30 characters to be submitted.