Syllabus Sta119
Probability and Statistics
Fall 2017
C
OURSE
D
ESCRIPTION
This course covers topics in descriptive statistics, probability, inference, and experimental design, all of
which are put together to draw conclusions from uncertainty through analysis of experimental data.
Although a general statistical methods course, the material (through examples) is geared towards sciences
majors, especially those in the health sciences. This course looks into the underlying reasoning behind the
techniques rather than just pure application.
Topics Part 1: Probability
➢
Data – mean, standard deviation, proportions, relative risk, histogram, boxplot
➢
Sets – sample space, unions, intersections, complements
➢
Probability – rules, equally likely outcomes, relative frequency, conditional probability,
independence, reliability of parallel components
➢
Random Variables – probability mass function, Cumulative Distribution Function, expected value
➢
Discrete Random Variables – Binomial, Poisson
➢
Continuous Random Variables – exponential, standard normal, other normal distributions
Topics Part 2: Statistics
➢
The distribution of the sample mean
(z and t) and the sample standard deviation (chi-square)
➢
Confidence Intervals and Hypothesis Tests – population mean, population proportion, population
standard deviation, difference between two means, difference between two proportions, paired
t-test, comparing two variances, power and sample size determination,
the p-value
➢
(Advanced Topics) Analysis of 2x2 Tables, Chi-square tests: independence and goodness of fit,
Time Trends, Analysis of Variance and Regression (the last two topics if time permits)
Students should expect to learn to use formula sheets, distribution charts and to use proper notation
throughout the section on statistics. Students should also expect to interpret the results from their
statistical analysis, draw conclusions and make decisions based on their analysis.
Course Prerequisites:
1. Calculator Skills – Students should know how to plug in basic calculations on their calculator.
Statistical calculations on the calculator will be covered in the course material.
2. Algebra – Students should be able to solve very basis algebraic equations for a given variable.
3. Graphing – Students need to fully understand number lines and a coordinate system.
4. Symbols – Students need to fully understand the basic mathematical relationship symbols <,
=, >,
≤
, and
≥
. Students should be familiar with unions and intersections.