MTH 209W - Statistics

Credits: 4
Instructional Contact Hours: 4

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.

Prerequisite(s): High school GPA of 3.0 or higher within the last ten years OR completion of Guided Self-Placement (GSP) process.
Corequisite(s): None
Lecture Hours: 60 Lab Hours: 0
Meets MTA Requirement: Math
Pass/NoCredit: Yes

Outcomes and Objectives

Demonstrate an understanding of the standard measures of descriptive statistics.

A. Calculate and interpret measures of center including mean, median, and mode.

B. Calculate and interpret measures of variation including standard deviation, variance, and range.

C. Calculate and interpret percentiles, quartiles, and the interquartile range.

D. Calculate the correlation coefficient and the coefficients of the linear regression equation.

E. Use correlation and regression to describe relationships between numerical variables.

F. Organize quantitative and qualitative data in a variety of tables.

G. Create and interpret a variety of graphs including bar graphs, histograms, stem and leaf plots, box and whisker plots, and scatterplots.

2. Demonstrate an understanding of probability.

A. Calculate and interpret basic probabilities.

B. Calculate and interpret conditional probabilities.

C. Calculate probabilities using the binomial distribution, the normal distribution, and the central limit theorem.

3. Demonstrate an understanding of statistical inference.

A. Compare and contrast sampling techniques.

B. Use correlation and regression to make predictions.

C. Calculate confidence intervals to estimate population means and proportions.

D. Manually perform the steps of a hypothesis test for a claim about the population mean.

E. Demonstrate an understanding of the significance level of a test and the use of p-values.

F. Determine the appropriate test statistic and make inferences for a variety of models, including single mean (large and small sample), single proportion, two sample means, two proportions, Chi Square, and ANOVA.

G. Determine the appropriate test statistic and make inferences for a variety of non-parametric models such as the Sign Test, the Wilcoxon Signed-Rank test for matched pairs, the Kruskal-Wallis Test and Rank Correlation.

4. Communicate an understanding of statistics in writing.

A. Explain statistical concepts in writing.

B. Interpret statistical results in writing.

C. Write conclusions to statistical investigations.

5. Demonstrate knowledge of a statistical software package.