MATH 327 Chapter Notes - Chapter 1: Statistical Inference, Descriptive Statistics

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1. 1 introduction statistics: the art of learning from data; concerned with collection of data, its subsequent description, and its analysis. When performing experiments, it"s important to make sure all groups are random (no bias) Ex: to compare teaching methods, a professor separated his programming class by into two groups, each being taught using a different method. One group had only male students while the other had only female students. 1. 3 inferential statistics and probability models inferential statistics: part of statistics that is concerned with the drawing of conclusions (comes after doing the experiment and summarizing the data) When drawing conclusions, we must take into account the possibility of chance. Ex: a coin can come up seven heads in ten flips, but that does not necessarily mean it is more likely to come up heads than tails in future flips. probability model: set of all possible outcomes. The possibility of an event occurring is often noted with probability p.