>"You can use Student’s t-distribution to compute an upper bound for the probability of T under the assumptions"

I'm not sure what you are arguing anymore. I am saying you will never test a parameter value in isolation, it is always part of a model with other assumptions. There is simply no such thing as testing a parameter value alone. To define a likelihood you need more than simply a parameter...

You seemed to be disagreeing with that, but are now acknowledging the presence of the other assumptions.