What is the Importance of statistics in physics?

The most obvious answer runs as follows:
Understanding the physical world, from large scale processes (e.g., the orbit of planets around the sun), to small scale processes (e.g., the behavior of sub-atomic particles) involves experimentation. The experiments physicists carry out produce data, and statistics is required to make sense of the data. Usually results are inductive. The physicist can use the observations in the experiment to make general statements about the nature of the universe (this is called "inferential" statistics).
-- Dave