Scoring differential only simply tells us the skill of each wave, but not how each golfer performed in relation to their skill. In order to gain more insight in that regard, we can subtract the final JGS rating(79.5, which is crazy high) from the golfer's score, telling us how they did, and compare that against their JGS Scoring Differential. I call this metric performance, since it compares how the golfer did in comparison to their skill as defined by their JGS Scoring Differential:
Morning Wave:
x̄1 = 4.431
n1 = 58
s1 = 3.736
Afternoon Wave:
x̄2 = -1.2355
n2 = 40
s2 = 2.362324963
This significance test came back with a P-Value of 0.3491404983, which is more convincing of a difference, but still not significant enough.