Statistics for Engineers and Scientists

Statistics for Engineers and Scientists
The scientific method; probability, random variables, common discrete and continuous random variables, central limit theorem; confidence intervals and hypothesis testing; completely randomized experiments; factorial experiments.
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 112; or MATH 119
 TaughtFall, Winter
 ProgramsContaining STAT 201
Course Outcomes

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)