Statistics Foundation 1

Introduction

· Welcome

· What you should know

1. Beyond Data and Probability

· Understanding data and distributions

· Probability and random variables

· What's next in stats 2?

2. Sampling

· Sample considerations

· Random samples

· Alternative to random samples

3. Sample Size

· The importance of sample size

· The central limit theorem

· Standard error (for proportions)

· Sampling distribution of the mean

· Standard error (for means)

4. Confidence Intervals

· One sample is all you need

· What exactly is a confidence interval?

· 95% confidence intervals for population proportions

· Do you want to be more than 95% confident?

· Explaining unexpected outcomes

· 95% confidence intervals for population means

5. Hypothesis Testing

· Is this result even possible?

· How to test a hypothesis in four steps

· One-tailed vs. two-tailed tests

· Significance test for proportions

· Significance test for means (acceptance sampling)

· Type I and type II errors

Conclusion

· Next steps