C&B clearly say that for a hypothesis test on the sample mean, you *CANNOT* use the sample mean as the test statistic. You need to do some trivial algebra to construct a Student t distributed random variable.

How many times do posters need to explain this to you? C&B are saying *THE EXACT OPPOSITE* of what you're claiming.

In my entire career of over 20 years of teaching methods to reasonably diverse groups (as diverse as they can be in methods classes due to self-selection) I have never met anyone who is as cognitively deficient as CG, and can't understand trivial concepts even after multiple explanations. She is also a pathological liar who distorts the actual content of the discussion because she can't admit she was proven wrong.

This is hilariously false. How you show something to be true is not a refutation of it being true, you buffoon! And there's no chance someone this deficient in logic or stats knowledge has ever taught a methods class.

C&B present a problem showing the use of the sample mean as a test statistic. Period. It's right there in the text, as much as the stats bros are tortured and embarrassed by this. Just a plain fact. They describe it as a test and ask you to show that it works in a hypothesis test. Definitive.

What this troll and others are saying to get out of this screamingly obvious refutation of their argument is that you *show* this works as a test statistic by transforming it into the more familiar t test statistic. Arguing this refutes the use of the sample mean as a test statistic demonstrates not just stats ignorance, but basic logical defects. Again, how you show something to be true is not a refutation of it being true. As I've already argued, it's *exactly* like saying only one of x+y=3 and y=3-x can be an equation, and you "prove" that by transforming the second into the first. That's show stupid this troll is.

It's over, sadsacks. C&B have the perfect confirmation of my claim, down to the equation. Even down to my clearly stated claim that the mean/coefficient test statistic will be substantively equivalent to the t test statistic. Everything I've claimed has been vindicated and there's nothing left but the stats bro tears.