We use a text (Lock, Lock, Lock, Lock, and Lock) that teaches Conf Intervals and Hyp Tests via simulation. I understand this is becoming more common. We also

We use a text (Lock, Lock, Lock, Lock, and Lock) that teaches Conf Intervals and Hyp Tests via simulation. I understand this is becoming more common. We also get further than those topics than OP says-- ANOVA is very possible. My degree is in Math but I've been impressed that Stats professional societies take education very seriously. There is widespread, evidence-based, discussion of how to present the materials. I want to say one more thing, based on prior experience dscussing this kind of thing here: we should acknowledge that some students find this hard. I've been teaching the subject for twenty five years and I really do have some idea of what I am doing. Many students are taking this for their Liberal Studies course and I don't teach at Harvard so those may be factors, but another factor is that different people think differently. For some folks a five-step argument- this is so, and from this we conclude, etc.- is just not how they usually work. I think this course is a help to them, both in developing intellectually and in worthwhile life knowledge, but a person also needs to respect that they are doing something hard.