Just so we know what we’re talking about, here’s the average posted wait time for each day of week (DOW) for Epic, from thrill-data, in minutes:
Monday = 51
Tuesday = 53
Wednesday = 56
Thursday = 55
Friday = 50
Saturday = 50
Sunday = 46
Epic Universe has only been open around 16 weeks. But for fun, let’s assume a bunch of things are true that are almost certainly not true:
- The posted wait times are accurate
- The posted wait times are consistent across all hours of the day
- That is, Sunday isn’t slower because everyone goes home at 7 pm for work the next day, lowering the overall average for the day
- No DOW had more problems than any other
- No DOW had longer-lasting problems than any other
- Weather didn’t affect any DOW more than any other
- The standard deviation of wait times for any DOW is 5 minutes
- The future is going to look like the past
- E.g., weekdays in the fall when school is in session are going to look like weekdays in the summer, when school is not in session
And let’s assume that we only need to be 60% confident in what we’re saying - slightly better than a coin flip. This isn’t the New England Journal of Medicine, where we’d need 95%.
As a rough ballpark, the confidence interval is a little over 1 minute at 60% for 16 measurements of each weekday with a 5-minute standard deviation.
Then we could say that Sunday is probably the slowest day of the week.
We still wouldn’t be able to determine the rankings of Monday, Friday or Saturday, because they’re all within a minute of each other, so the confidence intervals overlap. And Tuesday overlaps Monday, but barely.
We couldn’t be certain whether Wednesday or Thursday is the busiest day, but it’d be close.
So we’d be able to say this, roughly:
- Busiest: Wednesday, Thursday
- Next-Busiest (probably): Tuesday
- Next-Busiest: Monday, Friday, Saturday
- Least Busy: Sunday
I mean, we’re talking a difference here of less than 6 minutes for 6 DOWs. Where you are in the rope-drop crowd is going to be vastly more important than the DOW you choose.
I could be wrong. 
ETA: I checked this morning and the standard deviation for the posted Epic U are these:
Monday: 43.4 minutes
Tuesday: 45.1
Wednesday: 46.5
Thursday: 43.1
Friday: 39.7
Saturday: 39.7
Sunday: 35.3
Even at a 60% confidence level, we still can’t yet say Sunday is less busy than Wednesday, because the confidence levels overlap.
Sunday’s confidence interval is roughly 36 to 50 minutes.
Wednesday’s confidence interval is roughly 46 to 65.
I think there might be something to the Sunday thing, but we’re not there yet.
Just playing with the confidence interval calculator, we might need 9 to 10 months of these same averages and standard deviations to be 60% sure just about Sunday. To be 90% sure we might need 2 years of everything being the same.
With the same average and std_dev, we’d need more than 10 years of data to be 90% confident we can differentiate Tuesday, Wednesday, and Thursday.
I really think rope-dropping and having a touring plan is vastly more important to how long you’re going to wait in line.