STAT 110 Lecture Notes

Introduction
Basic terms. Inferential versus Descriptive statistics.
Sample Selection
Methods (bad and good) of selecting a sample from a population. Samples of convenience,
quota sampling and random sampling.
Polling Issues
Sources of bias and error specific to polls.
Study Design
Designed experiments and observational studies.
Graphs
Histograms, box and whisker plots, scatterplots, etc.
Summary Statistics
Mean and median, variance and z-scores.
Probability
Basic probability and random variables
Discrete Probability Distributions
Including the binomial distribution
Continuous Probability Distributions
Including the normal distribution
Normal Distribution Tables
Examples on how to use the z-tables I provided in class
Sampling Distributions
The distribution of
and other statistics. Central Limit Theorem.
Applications of Sampling Distributions and the Central Limit
Theorem
Some word problems illustrating how we use sampling distributions
T-Distribution
Description of the T-distribution
Confidence Intervals
Reliability estimates of means and difference of means.
Hypothesis Testing
Null and alternative hypotheses. One-tail and two-tail one-sample tests of means and
proportions. Two-tail two-sample tests of means. Type I and Type II error.
One Sample T-Tests
One sample hypothesis tests about the population mean
Two Sample T-Tests
Two sample hypothesis tests about population means
Categorical Analysis
Multinomial tests and Chi-squared test of independence.
Regression
Simple linear regression