Single Sample T-test
The single sample t-test is used to compare the sample mean from one sample to a given population mean. The purpose of this test is to determine if the sample is drawn from (or different from) the given population.
Basic Hypotheses
Null: The sample mean is not significantly different from the population mean.
Alternative: The sample mean is significantly different from the population mean.
Real-World Examples
- Determining if a treatment is effective at reducing symptoms or improving scores based on population parameters (not control group comparison)
- Does CBT increase the proportion of patients that successfully complete therapy?
- Does the Read with Me program improve reading scores?
- Is the new facility able to produce more products than previous ones?
- Determining if there's been a change in some dynamic (i.e. IQ) since the time that the parameter was generated
- Has the average IQ increased since 2000?
- Does the current class perform better on exams than previous students?
See the T-Tests page for more information on this topic.
