ISCAM: Investigating Statistical Concepts, Applications, and Methods

This chapter parallels the previous one in many ways. The difference here is that these investigations will involve a quantitative variable rather than a categorical one. This requires us to learn different tools for graphing and summarizing our data, as well as for statistical inference. In the end, you will find that the basic concepts and principles that you learned in Chapter 1 still apply.

Section 1: Descriptive Statistics

Investigation 2.1: Birth weights – Normal model, Assessing model fit

Investigation 2.2: How long can you stand it? – Skewed data

Investigation 2.3: Cancer pamphlets – Application

Section 2: Inference for Mean

Investigation 2.4: The Ethan Allen – Sampling distributions for x̄

Investigation 2.5: Healthy body temperatures – One-sample t-procedures

Probability Detour: Student’s t Distribution

Investigation 2.6: Healthy body temperatures (cont.) – Prediction intervals

Section 3: Inference for Other Statistics (optional)

Investigation 2.7: Water oxygen levels – Sign test

Investigation 2.8: Turbidity – t-procedures with transformed data

Investigation 2.9: Heroin treatment times – Bootstrapping

Example 2.1: Pushing On – One-sample t-procedures

Example 2.2: Distracted Driving? – Sign test

Chapter 2 Summary