I'm graduating with a Statistics bachelor's degree but felt like I don't really understand anything about statistics yet.

I asked my research professor, Dr J. about what I should takeaway from my degree.

This is his response.

Inference

• Random sample (sample -> prediction)
• Random assignment of treatment allows claims of causality

Uncertainty

• data are random
• belief and frequency interpretation for probability
• expectation vs prediction
  • confidence interval for mu (E[y])
  • prediction interval for y tilde