t-Test

[#1]

I want to set up a t-Test that proves the new process is equivalent OR better than the current process. How do I do that in JMP?

[#2]

Have a read of this article: https://community.jmp.com/t5/JMP-Blog/Need-for-Speed-ANOVA-and-comparing-means/ba-p/739489 

That should guide you on how to apply means comparisons

[#3]

Please see the JMP documentation about equivalence tests in the Oneway platform (Analyze > Fit Y by X).

[#4]

When I perform the equivalence test, all 3 p-values are greater than 0.09. Therefore, I do not have enough evidence to prove X is better than Y, Y is better than X, or that they are equivalent. 

[#5]

That conclusion (without seeing the actual test you performed and the resulting report) is correct.