AP Statistics / Unit 4: Inference for Quantitative Data: Means
4.4 Setting Up a Test for a Population Mean or Population Mean Difference
Notes
- $H_0:\mu=\mu_0$; $H_a:\mu>\mu_0$, $<\mu_0$, or $\ne\mu_0$.
- For paired data: $H_0:\mu_d=0$.
- Check random, 10%, and normal/large sample conditions.
Practice
A bottler claims 500 mL; you suspect less. $H_a$:
About the parameter.
Paired test null hypothesis:
The mean difference is 0.
With $n=15$, the normal condition is checked by:
Small samples need a look at the data.
Ready for more? Take the Unit 4 test.