Those supplements work, they changed life of my entire family. I personally find it ridiculous for people to object. Yes, some may not get full blown effect just like with anything but in majority of cases they work. Personally, they changed my life and I didn't measure on a one year sample.
I don't know. I've noticed that if I take zinc pills along with vitamin C pills on the first or second day of the cold I start feeling better within two or three days and within a week the cold is almost gone. If I do not then the cold can easily last a couple of weeks.
There are hundreds of variants of the common cold virus, and you are at any time more or less immune to a subset of them, so many times after you're exposed you just feel ill for half a day. If you pair one of those occurances with your magic pill intake, you'll truly believe the pill caused you to get better, and then you'll keep buying that pill every time you feel a cold coming up for the rest of your life.
A real medical study is 10,000-100,000 patients, it's not possible to draw any conclusions from a single human's observation in this regard... but people keep trying, it's due to the nature of the human mind and its analysis of causality :)
Colds last a week. That’s normal.