Numerical and Graphics Summary
Compute numerical and graphics summary statistics using professional statistical software and explain difference between populations given the summaries (numerical or graphical)
Simple Problems
Solve simple problems using axioms of probability, conditional probability, independence, and Bayes' theorem
Compute Probabilities
Compute probabilities, expected value, and variance using the pdf of a discrete univariate
random variable
Normal Distribution
Compute probabilities for the normal distribution
Sampling Distribution
Understand the definition of the sampling distribution of x-bar, and identify the mean, variance, and shape of the sampling distribution given the population information
Experimental Design
Understand the basics of experimental design, including the definition of the experimental unit, response, variable, factor(s), and level(s) of a basic experiment, and the role of randomization and replication to permit causal inference
Interval for µ
Compute the confidence interval for μ from a random sample and make the correct decision about an experiment when given a confidence interval
Test Statistic and P-Value
Compute the test statistic and p-value for H0 : µ = µ0 from a random sample
One-factor ANOVA Table
Compute the ANOVA table for data from a completely randomized design using professional statistical software
Two-factor ANOVA Table
Compute the ANOVA table for data from a two factor experiment using professional statistical software
Statistically Significant Interaction
Explain a statistically significant interaction
Two Factor Experiment
Perform an analysis and write a 5–10 page technical report of the results with appropriate tables and graphics (likely in a group)
