# Mathematics » High School: Statistics & Probability » Making Inferences & Justifying Conclusions

### Iowa Core Mathematics Support

Resources to support Iowa Core Mathematics

## Standards in this domain:

### Understand and evaluate random processes underlying statistical experiments

• S-IC.1. Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
• S-IC.2. Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?

### Make inferences and justify conclusions from sample surveys, experiments, and observational studies

• S-IC.3. Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
• S-IC.4. Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
• S-IC.5. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
• S-IC.6. Evaluate reports based on data.