STA 13 Elementary Statistics
Lecture: 3 hours
Discussion: 1 hour
Descriptive statistics; basic probability concepts; binomial, normal, Student's t, and chi-square distributions. Hypothesis testing and confidence intervals for one and two means and proportions. Regression.
Prerequisite: two years of high school algebra or Mathematics D.
Summary of course contents:
Basic statistical concepts: Population, sample, variability, sources of variability, parameter, experiment, replication, statistical reasoning.
Descriptive statistics: numerical methods (including mean, median, percentiles, variance, and standard deviation) and graphical methods (including histograms).
Basic probability concepts: sample space, events, probability, independence and conditional probability.
Probability models: discrete and continuous distributions, expectation and variance, and interpretations.
Binomial and normal distributions.
Sampling and sampling distributions: distribution of sample means and the difference between two independent sample means.
Distribution of sample proportions and the difference between two independent proportions.
Introduction to statistical inference for large and small samples: point and interval estimation for means and proportions in one-sample and two-sample settings.
Significance testing in these settings, including interpretation of results.
Analysis of categorical data: point estimation, chi-squared goodness of fit test, chi-squared test of independence.
Analysis of bivariate data: concepts of correlation and regression, the least squares line.
Not open for credit for students who have completed course 13V, or higher.
An elementary statistics text such as:
"A First Course in Statistics" by James T. McClave and Terry Sinich
"Introduction to Probability and Statistics" by Mendenhall, Beaver and Beaver
"Mind On Statistics" by Jessica Utts and Robert Heckard
"Statistics: the Exploration and Analysis of Data" by J. Devore and R. Peck
Science & Engineering
This course is intended to serve as the basic pre-calculus introduction to statistics and should not pose problems of course overlap at the introductory level for which it is intended. This course is identical in content to Statistics 13V.