MT 140 - Elementary Inferential Statistics

Credit Hours: 4

This four-credit course includes concepts and computer skills that are valuable in a variety of life and work applications, as well as in more advanced coursework. Consistent with the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE), the course learning outcomes center around providing students with a firm conceptual understanding that enables them to use statistical tools intelligently and to be sophisticated consumers of information from studies whose conclusions are based on data. The mathematics concepts are presented in a context that is relevant and meaningful to students. Technology is used to aid computation so that time can be focused on deepening students’ conceptual understanding of mathematic topics.

Course Outcomes
Upon completion of this course, the student will be able to:

Define basic statistical terms.
Analyze key characteristics of a distribution to quantify the shape, center, and spread of the distribution.
Calculate probabilities and apply the concepts of probability to confidence intervals and hypothesis tests.
Calculate expected values and probabilities associated with binomial experiments using a table, MINITAB/similar technology, or the binomial probability density function.
Calculate relative frequencies and percentages associated with a continuous random variable with a normal distribution using a table of areas or MINITAB/similar technology.
Evaluate inferences concerning means and proportions using hypothesis tests.
Estimate and measure the accuracy of means and proportions using a confidence interval.
Analyze a scatter plot of bivariate data to visualize the relationship between variables, evaluate the strength and direction of the relationship using the correlation coefficient, and compute and apply functions (where appropriate) to describe a linear and non-linear relationship between the variables and make predictions.

LABORATORY OUTCOMES:

Draw a histogram, stem‑and‑leaf diagram, dotplot, boxplot and compute measures of central tendency and dispersion.
Make random selections of data and simulate experiments.
Compute probabilities for various distributions.
Compute normal distributions and sampling distributions of the mean.
Conduct hypothesis tests to weigh inferences concerning means and proportions.
Find interval estimates concerning means and proportions.
Draw a scatter plot and regression functions of linear and non-linear relationships between two variables, measure the strength and direction of the relationship, and where appropriate, make predictions using the aforementioned relationship.

Prerequisites: MT 003 or waived from placement test or placed into MT 006 or placed into MT 013 or placed into degree credit math
F/S (C,N,S)