That would mean you ultimately have to personally reproduce the results under controlled conditions before you can trust anything. This is just not realistically possible for anybody, so in reality you have to trust somebody.
The reality is that we all are trusting "science" to one degree or another. I absolutely agree that all experiments should be repeatable and independently verifiable, but in the real world science (in my opinion) very much depends on trust. We don't all have time to verify every experiment.
Both of which are common.