This post isn't really meant as "answer" but rather just as a post for discussion.
When I did work as manufacturing quality related role I did follow similar process: visualize the situation and then identify some sort of groups, mark them and try to predict/explain them. Luckily it is pretty easy to just try different methods in JMP such as clustering or partition analysis after you have manage to create the groups.
I also like Sankey Plot for visualizing purposes for such situations if there aren't too many columns. Also by default in JMP it is a bit difficult to change columns, but you might already have a good idea of the potential cause before you even start with Sankey

View more...I did end up creating
Enhanced Sankey Plot add-in to make using Sankey Plot in graph builder easier for EDA (exploratory data analysis) in cases like this and it also "supports" using partition or predictor screening/bootstrap forest to assist in the analysis by auto-ordering the columns
After auto-ordering you would most likely end up with something like this
Usually good idea to set some sort of ordering to immediately see it isn't anything time related, just Batch in this case
In the case of this Hands on Activity picking the points can be a bit difficult by just utilizing lasso tool but luckily we managed to visualize the as a line -> we can create new column which is ratio between Monitor2 and Control5 just by using quick formula to select the values easier.

And we can immediately see high spike in the column header graph

At this point we can also take a quick look over our other column header graphs to see if anything looks alarming

Maybe factory but still we have values in multiple categories so it won't explain all of our results.
If we want to have more accurate selection we can use JMP's interactivity with Distribution + Graph Builder for example

We can select those and create new column with name selection in column, or just use that new ratio column as our response in partition analysis / prediction screening (it won't be as obvious if we just use our ratio column but it is very quick way of checking if we have something). I think Predictor Screening and Partition are good starting points, but if there aren't too many columns we can just also just go with visual option using Column Switcher in Graph Builder
View more...
I didn't do anything beyond what was taught in the webinar as I just highlighted the Control 5 Monitor 2 "strange line" data from the Graph Builder chart using the Lasso tool, then used the highlighted rows in that selection and made a new column, naming those highlighted rows OOC and the other columns as good. Then did the Partition analysis of all of the other remaining factors and found out most all of my OOC data points came from the Internal Factory. I went back to the Graph Builder and did a Local Data Filter for "Factory" and verified that the cause of the Control 5 Monitor 2 "strange line" was due to the Internal Factory when the Control 1 Measurement was >57.3.
@chrsmth Thanks for trying this so fast!