The scientific method - Observation, Question, Hypothesis Experiment/Backtesting, Conclusion/Statistics
You have made it part way in the scientific method, you'll have to go all the way for the statistics or answer for the first part of your question. I doubt anyone is going to test out your ideas for you.
Knowing in advance that there is a higher chance of greater intraday volatility or range on certain days may or may not help you with your second question of whether the information makes trading it easier for you.