Yes, it does change by tea type.
You have the 16 oz (smaller) IngenuiTEA I suppose? If so, then you used WAY too much tea...that sample tin should make you about 10 cups of tea! Here is Adagio's guidelines:
taste best when prepared with boiling water, and steeped for five minutes. Recommended ratio is one teaspoon of leaves per cup of water. The only black tea that deviates from this rule is our Darjeeling Symphony no. 1. This is a delicate First Flush tea that grows high along the slopes of the Himalayas. This tea will taste best when prepared with cooler water (180F) and steeped for three minutes.
taste best when prepared with water that is cooler-than-boiling (180F) and steeped for three minutes. Recommended ratio is one teaspoon per cup of water for the relatively heavy Japanese greens (Sencha) and slightly more for the light Chinese greens (Pi Lo Chun). Remember to use cooler-than-boiling water. Otherwise your tea will taste bitter. If using a kettle, water is ideal when it begins to emit a 'rumble' sound. If using a microwave, look for the tiny air bubbles forming. These are good signs that your water is ready.
In the future, if you decide to order other types of teas, refer to http://www.adagio.com/info/preparation.html
for additional info on your teas...