# 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.
STAT
201
 Hours 3.0 Credit, 3.0 Lecture, 0.0 Lab Prerequisites MATH 112; or MATH 119 Taught Fall, Winter Programs Containing 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)