MATH380 — Elementary Probability and Statistics
Empirical and theoretical frequency distributions, discrete and continuous random variables, inferential statistics, confidence intervals, hypothesis testing.
Learning Objectives & Matches
Calculate and interpret descriptive measures of location and dispersion
Calculate probabilities using counting methods and probability rules
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Discuss the difference in the information given by the mean and the median
Apply probability distributions including binomial, Poisson, and normal
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Specify inputs accessed by the system and plan the distribution and use of the results.
Translate sentences that combine two or more attributes by using the words 'and' and 'or' into the intersection and union of events
Perform statistical inference including hypothesis testing and confidence intervals
Evaluate the statistical methods and procedures used to obtain data to ensure validity, applicability, efficiency, and accuracy.
Clean and manipulate raw data using statistical software.
Analyze, manipulate, or process large sets of data using statistical software.
Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.
Determine whether statistical methods are appropriate, based on user needs or research questions of interest.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Draw conclusions or make predictions, based on data summaries or statistical analyses.
Analyze statistical information to estimate mortality, accident, sickness, disability, and retirement rates.
Write program code to analyze data with statistical analysis software.
Analyze clinical data using appropriate statistical tools.
Identify independent events and mutually exclusive events when they are indicated by problem parameters, and provide a practical, lay-person's definition of these terms
Analyze data using descriptive statistics and visualization
Analyze, manipulate, or process large sets of data using statistical software.
Analyze clinical data using appropriate statistical tools.
Write program code to analyze data with statistical analysis software.
Clean and manipulate raw data using statistical software.
Report results of statistical analyses, including information in the form of graphs, charts, and tables.
Develop or implement data analysis algorithms.
Analyze statistical information to estimate mortality, accident, sickness, disability, and retirement rates.
Evaluate the statistical methods and procedures used to obtain data to ensure validity, applicability, efficiency, and accuracy.
Perform computations and apply methods of numerical analysis to data.
Prepare statistical data for inclusion in reports to data monitoring committees, federal regulatory agencies, managers, or clients.
Determine when an experiment calls for the use of the binomial distribution
Apply regression analysis to model relationships between variables
Calculate binomial probabilities by hand and by using cumulative binomial probability tables
Use statistical software for data analysis and visualization
Calculate probabilities associated with a non-standard normal random variable by using a standard normal probability table
Interpret statistical results in context and communicate findings
Set up the appropriate null and alternate hypotheses from word problems where one- or two-sided one-samples tests of population means are indicated (be able to tell which hypothesis is which and whether or not the alternative is one- or two-sided)
Identify potential problems with bias and confounding when given a simple statistical design