Is my answer still correct? (stats= hypothesis testing normal distribution) a level

You can either calc the critical region or the cumulative probability so either should be fine. In this case 12.2 is ~4.5 std devs from the mean so its not close to the critical value whichever way you look at it.

Thank you! Also why cant you do X=x in normal distribution. Why can it only be greater than or less than?

This should be in your textbook but
p(X=9.5) = 0
for a normal distribution for instance. Or put another way, there is zero probability of it being sunny for exactly 7.5234569 hrs today. However, there is maybe a 0.2 probability (20% chance) of it being sunny greater than 6 hrs.