Go check your hot water heater's settings. I'll bet it's set to hot or very hot. Sometimes, dishonest plumbers will set your new hot water heater to "very hot" in order to wear it out sooner, thus needing him again soon. If you find your hot water heater set that high and you aren't the one who set it there, find a new plumber.
Lower your temperature settings and see if you notice any difference. If you don't, lower them again.
I now have my set to "warm" and I haven't noticed any loss at all. And I LOVE the savings on my gas bill! I think you will too!