When people wear a white coat (such as doctors) more people are convinced by and believe them
than someone with the same title and experience speaking to them without one. The coat is just a prop but its underlying messaging has a significant impact upon the perceived credibility of the message. A simple tool to use to help your message be received favourably.
Obviously the white coat is a tool that is available only to those in the medical profession but... consider what an 'authority' in your industry and situation would wear... and wear that! It may be a subtle cue but anything you can do and use to help your message be heard and received favourably is one worth using to your advantage.