Accuracy In Weather Forecasting

You've got to hand it to the National Weather Service. First, they completely mess up last weekend's non-snowstorm. Now, well, here's the forecast for tomorrow:

Snow, mainly between 1pm and 3pm. High near 35. South wind 13 to 16 mph becoming west. Chance of precipitation is 80%. New snow accumulation of 1 to 3 inches possible.

Isn't that interesting?! A sure thing Winter Storm, with a total forecast accumulation of 4-8 inches, resulted in an inch of snow, yet tomorrow, they not only predict that we'll get 1-3 inches of snow, but that it will mainly occur between 1pm and 3 pm.

As part of the public that needs to know when it's time to hit the Giant Eagle to stock up on water and toilet paper, how am I supposed to take this forecast seriously? I'm sticking to my trusty weather forecast rug.