# 05. Probability & Sampling Distributions ## NOBA: Statistical Thinking

A chapter by Beth Chance and Allan Rossman that introduces several key topics in statistics such as: distributions, p-values, confidence intervals, samples/populations, and drawing statistical conclusions . This chapter could serve as an introduction to the topic or as a refresher for students in a more advanced course. You can access the full chapter here. ## Video: Central Limit Theorem and Distributions of Sample Means

This video (7:34) explains the central limit theorem, where distributions of means of samples come from, and how those distributions are normally distributed from StatQuest with Josh Starmer. Bam. Before watching, students should have a good understanding of the normal distribution. You can find the StatQuest website here.

## Lecture Slides: Samples Representing the Population with the Use of M&Ms

This PowerPoint leads students through an activity that stresses the need to have a relatively large sample when trying to accurately represent the population.Instructors will need to supply students with fun size bags of plain M&Ms®. Students first estimate the population frequency of each color of candy using their small sample (fun size bag). Then …

## Online Activity: Simulation of Sampling Distributions

This Java applet (created by Dr. David Lane) estimates and plots the sampling distributions of various statistics based upon the user’s specified population distribution, sample size, and statistic. The simulation and its associated questions can be used as either homework assignment or as an in-class activity for those classes with access to computers with Internet …