Part One: Probability

Case Study #1.2.2

Perfect Samples

Perfect samples should look like little copies of the bowl. The structure of the bowl determines how the samples from the bowl "should" "look".

Case Description: We will take an actual bowl, which contains actual chips of various colors. We will break it open, and use the complete list of colors, with the color counts, to describe "perfect" samples.

Case Objectives:

What are perfect samples? Can we ever draw one, and how would we recognize it? What role does sample size play?

Define perfect samples of size 25, 60. Compute and write down a color count table for each perfect sample.

Collect samples (draws with replacement) of size 25, 60. Summarize these real samples.

Compare the perfect samples of sizes 25 and 60 to the real samples.

The structure of the bowl, expressed as color proportions, determines the basic structure of samples drawn from the bowl. The perfect sample is a blueprint for the actual samples.