## National Paralegal College | Evaluated Learning Experience

## Introduction to Probability and Statistics (MAT-102)

Varies; self-study format.

March 2014 - Present.

Upon successful completion of this course, students will be able to: apply the Fundamental Counting Principle; explain the mean, median, and mode of a population and of a sample; discuss if a distribution is a probability distribution; apply the Central Limit Theorem to find the probability of a sample mean; analyze the minimum sample size required when estimating a population proportion; identify type I and type II errors and interpret the level of significance; discuss whether two samples are independent or dependent; organize a *t*-test to test the mean of the differences for a population of paired data; perform a hypothesis test for a population correlation coefficient *ρ*; select a chi-square distribution to test whether two variables are independent; and analyze the Wilcoxon rank sum test to determine if two independent samples are selected from populations having the same distribution.

This course is a conceptual introduction to the science of data and fundamental concepts of statistics for students. It provides a solid foundation for students planning to pursue more advanced courses in statistics by introducing new concepts with several fun and easy to understand examples. Major topics include: graphical methods, measures of central tendency, spread, and association, basic probability theory and probability models for random variables, statistical inference: confidence intervals and hypothesis tests. Many examples are based on real, current business and economics datasets. Calculations are illustrated in Microsoft Excel. Evaluation criteria include: required readings, practice assignments; class participation; and a final exam.

In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics or Business (3/18).