# Statistics

MTH 209W

## Course Description

Prerequisite: MATH LEVEL 6 or MTH 098, or MTH 118W or MTH 119W or MTH 119AW with a grade of "C" or better or two years of high school algebra. Studies statistical concepts including frequency distributions, measures of central tendency and dispersion, probability, confidence intervals, hypotheses testing, linear correlation and regression, chi-square, ANOVA, non-parametric tests. (60-0)

## Outcomes and Objectives

### Calculate, describe, and apply each of the standard measures of descriptive statistics.

#### Objectives:

• Calculate, describe, and apply measures of center (mean, median, mode).
• Calculate, describe, and apply measures of variation (standard deviation, variance range).
• Calculate, describe, and apply percentiles.
• Calculate, describe, and apply graphs (frequency distributions, histograms, stem and leaf plots, box and whisker plots).

### Demonstrate an understanding of basic concepts and principles essential to statistical inference.

#### Objectives:

• Identify different methods of data collection.
• Calculate and describe basic probability.
• Calculate probability using the binomial distribution, the normal distribution, and the central limit theorem.
• Use correlation and regression to describe relationships between numerical variables.
• Calculate confidence intervals to estimate population averages and proportions.

### Demonstrate an understanding of the logic of statistical inference.

#### Objectives:

• Manually perform all of the steps of a hypothesis test for a claim about the population mean. Students will demonstrate their understanding of the significant level of a test and the use of p-values in statistical software.
• Determine the appropriate test statistic and make inferences for a variety of models, including single sample mean (large and small sample), proportion and variance, two sample mean and proportion, Chi Square and ANOVA.
• Determine the appropriate non-parametric test statistic and make inferences for a variety of models, including sign test, Wilcoxon Signed-Rank test for Matched pairs, Kruskal-Wallis Test and Rank Correlation