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# Statistical Methods

## STAT51100

3

### Learning Objective:

Provide the students with the fundamentals of probability, statistical methods, and data analysis.

### Description:

Descriptive statistics; elementary probability; sampling distributions; inference, testing hypotheses, and estimation; normal, binomial, Poisson, hypergeometric distributions; one-way analysis of variance; contingency tables; regression.

### Topics Covered:

Data (sample vs. Population, histograms, sample mean, median, variance, standard deviation), Elementary probability (axioms, basic rules; little attention to counting and conditional probability), Random variables (discrete vs. Continuous, moments), Binomial, hypergeometric, Poisson distributions, Poisson approximation to binomial, Normal distribution, normal approximation to binomial, Sampling distributions, distribution of mean, central limit theorem, Confidence intervals for means, Confidence intervals for proportions, Tests of hypotheses for means and proportions, Regression and correlation, One way analysis of variance, Contingency tables

### Prerequisites:

Calculus. Integration and differentiation of functions of one variable and two variables.

### Applied / Theory:

45 / 55

https://mycourses.purdue.edu/

### Web Content:

Course information, syllabus, homework assignments, lecture notes, and announcements will be posted to course website (undecided); a login and password will be provided.

### Homework:

Available on WebAssign through Blackboard.

No project.

### Exams:

There is one midterm and one final exam.

### Textbooks:

Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.

### Computer Requirements:

Any devices can be used, but not required.

### Other Requirements:

Only hand calculator

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